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Selected Topics in Higgs and Supersymmetry

Marcela Carena Theoretical Physics Dept. Fermilab

KITP Collider Workshop Santa Barbara, January 16, 2004.

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Selected Topics in Higgs and Supersymmetry Introduction • Motivation for SUSY at the TeV Scale • Some SUSY scenarios and signatures The role of the Tevatron in shaping the next decade • Precision Measurements • Discovery of new particles or new bosonic or fermionic (SUSY) dimensions • Indirect SUSY signatures The MSSM Higgs Boson Phenomenology • Radiative corrections to masses and couplings • Benchmark scenarios and Higgs opportunities at the LHC Effects of explicit CP violation in the Higgs Sector • How can this affect Higgs searches at Colliders Outlook Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

Introduction • Standard Model =⇒ the pillar of particle physics that explains data collected in the past several years and provides description of physical processes up to energies of ≈ 100 GeV. However, it is only an effective theory. • Many open questions ? ? ? ? ? ?

origin of EWSB generation of stabilization of hierarchies: Mweak Vs MP lanck connection of electroweak and strong interactions with gravity generation of fermion masses and mixings explanation of baryon asymmetry of the universe dark matter and dark energy

=⇒ crucial to get the complete picture valid up to higher energies, MP l • Collider Experiments: Tevatron LHC, a Lepton Collider (TeV reach) our most robust handle to reveal the new physics that should answer these questions in this and the next decade

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

EWSB occurs at the TeV scale In the absence of big fine-tuning of scales, =⇒ New Phenomena should lie in the TeV range or below, within reach of LHC/LC Numerous theories have been proposed: two broad classes: weakly coupled dynamics strongly coupled dynamics • Standard Model → example of weak EWSB one extra physical state left in the spectrum ≡ HIGGS Boson Present Data → no direct evidence of Higgs

[mh > 114.4 GeV (LEP2)]

SM with weakly coupled Higgs is in excellent agreement with precision data =⇒ mHSM ≤ 210 GeV at 95 % C.L. • In weakly coupled approach, SM most probably embedded in SUSY theory

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

• SUSY must be broken in the ground state – SUSY partners heavier than SM particles If SUSY exists, many of its most important motivations demand some SUSY particles at the TeV range or below

? Solve hierarchy/naturalness problem

? EWSB is radiatively generated In the evolution of masses from high energy scales −→ a negative Higgs mass parameter is induced via radiative corrections

masses [GeV]

In low-energy SUSY: quadratic sensitivity to Λef f is replaced by quadratic sensitivity to SUSY breaking scale 1200 1000

~

g ~ br

~ ~ tr ,bl ~ tl m1 



800 600

√m02+µ2 

~

τr

m1/2

~

400

w ~ τl

m0 

~

200

=⇒ important top quark Yukawa effects!

b m2

0 0

2

4

6

8

10 12 14 16 18

log10(Q/GeV)

SUSY breaking scale must be at or below 1 TeV if SUSY is associated with EWSB scale !

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

? Play central role in unification of gauge couplings Unification at αGU T ' 0.04 and MGU T ' 1016 GeV

60

α −1

50

−1

α1

40

Experimentally, α3 (MZ ) ' 0.119 ± 0.003 in the MSSM: α3 (MZ ) = 0.127 − 4(sin2 θW − 0.2315) ± 0.008

α−1 2

30

α−13

20 10

Remarkable agreement between Theory and Experiment!!

b) MSUSY =1 TeV

0

10 2

106



10 4

10 8 1010 µ (GeV)

1012

1014

1016

Langacker, Polonski

Bardeen, M.C., Pokorski, Wagner



? Large value of mt can be understood as resulting from quasi infrared fixed point of top-Higgs Yukawa coupling. 100

G=

λb

tan β

G

G

λ t = 3.3

λ b = 3.1

0.80 λG τ

0.90 0.95

1.05

10

fixing mb and αs while varying hb (MGU T ) and hτ (MGU T ) away from exact unification −→ varying ht (mt ) prediction tan β = v2 /v1 ; mt = ht v2 mpole t

1 100

120

140 160 180 m tpole (GeV)

200

220

Selected Topics in Higgs and Supersymmetry



4αs (mt ) 3π



' ht (mt )v 1 + sin β ∼ (185 GeV)ht (mt ) sin β Bardeen, M.C., Pokorski, Wagner

Marcela Carena, Fermilab

? Provides a good dark matter candidate −→

Present WMAP satellite data has confirmed with great accuracy the cold-dark matter density of the universe: 0.094 ≤ ΩCDM h2 ≤ 0.13 → SUSY dark matter candidate is likely to be the lightest neutralino with mass possibly below 500 GeV and almost degenerate with the stau Arnowitt, Dutta & Hu 1000

Ellis, Olive, Santoso, Spanos 1500

600

117 GeV

114 GeV

1000

m0[GeV]

m0 (GeV)

800

120 GeV

A0=0, µ>0 tanβ=40

µ>0

-10

aµ<11×10

b→sγ

400

0 100

1000 

m1/2 (GeV)

Selected Topics in Higgs and Supersymmetry

2000

2500

200

ed llow a r atte >m ˜τ km r a d m χ˜0

200

400

600 800 m1/2[GeV]

1000

Marcela Carena, Fermilab

? Provides a possible solution to the observed baryon asymmetry Baryogenesis at the electroweak phase transition:

(Start with B=L=0)

? CP violating sources =⇒ create chiral baryon-antibaryon asymmetry in the symm. phase ? Net Baryon number diffuse in the broken phase ? Strong first order phase transition =⇒ baryon number violating processes are out of equilibrium in the broken phase =⇒ preserve the generated baryon asymmetry In the SM: • EW Baryogenesis demands a Higgs mass below 40 GeV =⇒ ruled out by experiment • Independent problem: not enough CP violation In Supersymmetry: both problems can be solved • New bosonic degrees of freedom with coupling of order one to the Higgs =⇒ sufficiently strong first order phase transition with a Higgs mass up to 120 GeV • New sources of CP violation from the sfermion sector M2 = µ

12

mA= 100 GeV

10

mA= 400 GeV mA= 500 GeV

8

η/ηBBN

ηBBN ' (6 ± 3)10−11

mA= 150 GeV mA= 200 GeV mA= 300 GeV

we plot for max. phase for µ, sin φµ = 1 hence, from the figure −→ sin φµ ≥ 0.05 preferred

6

4

2

M.C., Quiros, Seco, Wagner 0

100

200

300

µ (GeV)

400

Selected Topics in Higgs and Supersymmetry

500

Marcela Carena, Fermilab

The mechanism of SUSY breaking is not well understood. ⇓ Different SUSY breaking scenarios −→ crucially different patterns of low energy spectrum –production and decays– Important to develop a comprehensive search strategy to explore the main signals in different SUSY breaking scenarios.

SUGRA Scenarios • Strongly interacting particles (due to RG effects) tend to be heavier than weakly interacting ones. Supersymmetric particles odd under R-parity: Rp = (−1)3B+L+2S • If R-parity Conserved: Lightest Supersymmetric Particle (LSP) Stable =⇒ lots of E /T → distinctive SUSY signature • LSP Stable =⇒ good Dark Matter candidate: neutralinos

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

Extensions of MSUGRA:

CP Violation

• Soft SUSY breaking parameters MAY BE COMPLEX and take any value allowed by phenomenological constraints At least two complex phases cannot be rotated away, choosing those as φµ and φA =⇒ six param. determine the sparticle spectrum: m0 , M1/2 , A0 , tan β, φµ , φA • Interesting constraints on SUSY param. space from EDM’s of electron and u,d quarks

 d 1l. f

e

∼ 10

−25

(Imµ, ImAf ) cm max.(mf˜, mλ )



1TeV max.(mf˜, mλ )

2 

mf 10MeV



To resolve the one-loop CP crisis: • Imµ/|µ|, ImAf /Af ≤ 10−2, with (mf˜, mλ ) ∼ 200 GeV ˜ ν˜L • CP phases ∼ 1, but mf˜ > 1 TeV for f˜ = e˜, u ˜, d, • Cancellations between different EDM terms ⇓ • Two-loop contributions to EDM’s =⇒ constraints on CPV parameters of 3rd. gen. squarks, specially for large tan β −→ important for Higgs physics CPV makes more challenging to reconstruct SUSY masses and couplings from experimental data

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

Gauge-Mediated Low-energy SUSY Breaking Scenarios −6 − 10−9 GeV mG ˜ ∼ 10

• Special feature −→ LSP: light (gravitino) Goldstino:

If R-parity conserved, heavy particles cascade to lighter ones and ˜ ˜ ˜ NLSP −→ SM partner + G e.g., χ ˜01 → (h, Z, γ) G; `˜± → `± G;

˜ q˜ → q G

Superpartner masses proportional to their gauge couplings. • Signatures:

decay length

L∼

10−2 cm

2 mG ˜ 10−9 GeV



×

100GeV 5 MNLSP



? NLSP can have prompt decays: ˜ Signature of SUSY pair: 2 hard photons, (H’s, Z’s) + E /T from G ? macroscopic decay length but within the detector: displaced photons; high ionizing track with a kink to a minimum ionizing track (smoking gun of low energy SUSY) ? decay well outside the detector: E /T like SUGRA

Anomaly-Mediated SUSY Breaking Scenarios • SUSY breaking masses determined by beta functions, proportional to gauge couplings • Striking signature at colliders:

χ ˜± ˜01 π ± 1 →χ

at tree level, Mχ – mass degeneracy lifted by radiative corrections ± ≈ Mχ ˜0 ˜ 1

1

by about 150 MeV −→ very soft pion (decay length of order 1 cm)

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

Indirect Information on SUSY from Experiment • Higgs mass constraints from LEP =⇒ impose important constraints on SUSY breaking models & 3rd gen. squark masses

Model independent bounds on tan β as a function of the heaviest stop mass for different values of the stop mass splitting ∆Mt˜ = mt˜2 − mt˜1 , for mh = 115 GeV, large MA , Mt = 175 GeV M.C., Chankowski, Pokorski & Wagner

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

What Can We Learn from RUN 2? Precision measurements: • top quark mass: δMt ' 3 GeV • W mass: δMW ' 30 MeV

with 2 fb−1 with 2 fb−1

high precision for Mt is important to =⇒ exploit precision on MW in the context of electroweak precision measurements Mt –MW –MH Correlation

80.70

experimental errors 68% CL: LEP2/Tevatron (today)

=⇒

A light SM Higgs Boson strongly favored by data

Selected Topics in Higgs and Supersymmetry

MSSM

Tevatron/LHC 80.60

MW [GeV]

• direct Mt and MW measurements from LEP and the Tevatron • Indirect Mt and MW determination from SM fit to precision data (LEP, SLD, νN) • SM relationship for Mt –MW –MH =⇒ crucial information on MH

SY

t SU

ligh

LC+GigaZ

80.50

80.30

MH =

113

GeV

V

0 Ge

80.20 160

SY

y SU

heav

80.40

40 MH =

SM Heinemeyer, Weiglein ’03

165

170

175

mt [GeV]

180

185

Marcela Carena, Fermilab

190

Stop and Sbottom Searches In many models (MSUGRA, extended Gauge– and Anomaly–Mediated) −→ t˜’s and ˜b’s quite light • If mt˜1 > mχ˜± + mb

or

> MW + mχ˜0 + mb 1

1

or > ml + mν˜ + mb

or >

m˜l + mν + mb

±(∗) =⇒ t˜1 → bχ ˜1 → bχ ˜01 f f¯0

with f f¯0 = l¯ ν or q q¯0

Signals: 2b jets + 2 W’s + E /T , 2b jets + 2l’s +E /T Selection: b-jet + jet + l + E /T , 2l’s + jet + E /T Demina, Lykken, Matchev & Nomerotski ∼ t1

M( ∼ χ +) 1

ECM=2.0 TeV

∼ t1



→ b + χ+1

-1

L=20 fb -1 L=4 fb -1 L=2 fb

M( ∼ t1 )= M

(b)

M(



+M (

t1 )

l)+

=M

(b) +

M( ∼ ν)

ECM=2.0 TeV

+ LEP χ limit

Selected Topics in Higgs and Supersymmetry



→blν

-1

L=20 fb -1 L=4 fb -1 L=2 fb ∼

LEP ν limit

Marcela Carena, Fermilab

• Sbottoms: =⇒ ˜b1 → bχ ˜01 100% BR if mχ˜0 > m˜b − mb

• If above modes kinematically disallowed, t˜1 → cχ ˜01 (via bχ ˜± 1 loop) Signal/Selection: 2c jets + E /T ∼







→ c + χ01 or t1 → b W χ01

2



(χ∼0 1)

b1 →b+ χ01

1

b) 1 =M (b)+ M

-1

L=4 fb



L=20 fb

-1

L=20 fb -1 L=4 fb

M(

-1

M( ∼ t1 )= M

(b)

(t)+

+M

M(



1

(χ∼0 )

χ 0)

)+M

ECM=2.0 TeV

(W

1

M( ∼ t1 )= M

M( ∼ t1 )= M

(c)+

ECM=2.0 TeV

M( ∼0 χ)

∼ t1

L=2 fb

-1

-1

L=2 fb

0 LEP χ1limit

0

LEP χ1 limit

if ˜b → bχ ˜02 allowed, limit degraded in 30-40 GeV

In summary: with mt˜1 ≤ 200/210 GeV mt˜1 ≤ 180 GeV m˜b ≤ 230 GeV 1

Selected Topics in Higgs and Supersymmetry

R

Ldt = 4 fb−1

˜ in t˜1 → bχ ˜± ν 1 /t1 → bl˜ in t˜1 → cχ ˜01 in ˜b1 → bχ ˜0 1

Marcela Carena, Fermilab

Stop Searches in Low Energy SUSY Breaking Models Considering the stops to be the NLSP, look for signatures with jets, γ’s and E /T (small SM backgds.) M.C, Choudhury, Diaz, Logan, Wagner 300

p− p→∼ t∼ t* + X .

.

.

.

0.5

.

√s = 2 TeV

200

10

.

20

.

m∼χ01 (GeV)

200

5

.

40

150

150

by d re at a

ou

D

av is f

I

D

un

.

100

150

0.2

.

1

∼ t NLSP

0.5

.

2

100

(∼ t → b + W+ ∼ χ01) dominates

R

50

.

5 ∼ t→c∼ χ01 dominates .

100

.

1 2

∼ t NLSP

250

.

.

m∼χ01 (GeV)

300

1

.

p− p→∼ t∼ t* + X ∼ t → b + W+ + ∼ χ01 → b + W+ + γ + ∼ G 250 √s = 2 TeV

0.2

∼ t→c+∼ χ0 → c + γ + ∼ G .

50

10

.

20

D i R sfav un o I ure D d at b a y

350

40

.

200

250

300

350

150

400

200

250

300

350

400

m∼t (GeV)

m∼t (GeV)

. .

Cross sections for stop pair production ˜ and Signal/selection in f b, with t˜ → cγ G jjγγE /T

R

L

σS 5σ

Max. mt˜ (2 body)

2 fb−1

6 fb

290 GeV

4 fb−1

3.5 fb

315 GeV

˜ ? q˜ → qγ G

=⇒

Selected Topics in Higgs and Supersymmetry

Cross sections for stop pair production in ˜ and Signal/selection f b, with t˜ → bW γ G bbW W γγE /T

R

L

σS

Max. mt˜ (3 body)

2 fb−1

2.5 fb

315 GeV

4 fb−1

1.3 fb

330 GeV

squark mass reach up to 400 GeV Marcela Carena, Fermilab

An Interesting Highlight −→

Electroweak Baryogenesis

predicts light right-handed stops mt˜R ∼ 150 GeV and MSSM Higgs bosons in the range mh ∼ 100-118 GeV

mst (GeV)

160

140

R

mQ= 2 TeV

120

100 100

105

110

mH (GeV)

115

120

M.C., Quiros & Wagner

Tevatron Run II reach for Higgs and stops probes Baryogenesis at the Electroweak scale!

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

Gauge-Mediated Tevatron Reach ˜ Bino-like NLSP: χ ˜01 → γ G Signal: γγXE /T X = `’s and/or jets 10

˜ Higgsino-like NLSP: χ ˜01 → (h, Z, γ)G Signal: γ b E /T X diboson signatures (Z → ``/jj; h → b¯b)E /T

2

CDF projected limits from diphotons, GMSB model

10

2

CDF projected limits from γb/Et, GMSB model

Discovery reach (2fb-1)

ch (2fb -1 )

95% CL limit (2fb-1)

95% CL limit (10fb-1) 1

95% C

10

95% CL limit (30fb-1)

L limit

σ x BR (fb)

σ x BR

10

Discov ery rea

95% C

L limit

1

95% C

L limit

200 225 250 275 300 325 350 375 400 425 ~ M(χ1±) (GeV)

Mχ˜± ∼ 325 GeV (exclusion) & ∼ 260 GeV (discovery)

Selected Topics in Higgs and Supersymmetry

(2fb -1)

(10fb -1 )

(30fb -1 )

120 140 160 180 ~200 220 240 260 280 300 M(χ1±) (GeV)

Mχ˜± sensitivity up to 200 GeV for 2 fb−1 1

Marcela Carena, Fermilab

• Non-prompt Decays 160

400

F ≤ few 1000 TeV

Bino-like NLSP Photon Pointing: it is possible to identify a displaced photon from a secondary vertex and possibly det. decay length using TOF Meas. of decay length → meas. of SUSY breaking scale

350

140

300

120

γ'jjE/ An alysis T

250

-1

30 fb

γγE/ T Ana lysis

200 150

100

2 fb-1

80

30 fb-1 60 -1

2 fb

100

40 50 0

100

200

300

400

20 500

cτ (cm)

Higgsino like-NLSP =⇒ displaced γ’s or secondary vertices from b¯b, jj, `+ `− Search for displaced Z’s using large ET displaced jet with finite impact parameter or diplaced l’s should be explored. • If



F ≥ few 1000 TeV =⇒ outside detector decay looks like traditional χ ˜01 LSP

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

Λ (TeV)



Chargino Mass (GeV)

• Few 100 TeV ≤

Neutralino NLSP

Stau NLSP: Λ (TeV)

• prompt decays 20

30

40

50

60

70

80

2 high-pT τ ’s and high E /T

highly-ionizing tracks, extra µ-like tracks fb−1 ,

-1

10

2 fb

2

Short-lived NL SP 30 fb

10

-1

-1

2 fb

Quasi-stable N

LSP

-1

30 fb

1

mτ˜ > 150 GeV excl. ∼ 110 GeV disc. (40 GeV improvement with ToF)

CDF =⇒

DØ =⇒

y

• quasi-stable τ ’s

r eo

mτ˜ ∼ 100 GeV (95% CL) CDF

10 3

Th

mτ˜ < 80 GeV (5σ) DØ

for 2

Stau NLSP

fb−1

Cross Section (fb)

mass sensitivity for 2

90

DØ 100 150 200 250 300 350 400 450

Chargino Mass (GeV)

∼ 175 GeV disc.

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

100

Bs → µ+ µ− as a probe of tan β at the Tevatron



SM sample diagram:





m

SM amplitude ∝ Vts M µ

W

Br(B → µ+ µ− )SM = (3.8 ± 1.0) × 10−9





In the MSSM, with two Higgs doublets, the Higgs Mediated contribution can put this BR at the reach of the Tevatron! xxx

H*u ~ tL

~t R sL

bR ~ Hu

~ Hd

(a)

After SUSY breakdown, new contributions to d-type ~ H*u ~ H*u quark masses bR Flavor bLare generated even in a Minimal 23 23 ~ ~ δ RR Model δ(CKM-induced) LL bR bL Br(B s~→ µ+ µ− )MSSM ∝ tan6 β M12 fs~ (µAt , Mt˜i , Mχ˜+ )

sL

L

bR As0R

R

where f → const. 6= 0 for MSUSY → ∞.

~ g

~ g

Babu, Kolda

i

~ g

(b)

⇒ branching fraction can be enhanced by three orders of magnitude!

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

~ g

Contours of Maximun allowed value of BR(Bs → µµ) as a function of MA and tan β. 60

MFV

1 1x

0-6

0-7

3x1

0-7

50

1x1

40

3x10

• Br(Bs → µ+ µ− ) < 2.6 · 10−6 from Run 1.

tan β

-8

-8 1x10

• Single event sensitivity at Run 2 is 10−8 for 2 f b−1

30 20

Kane, Kolda, Lennon 10 100

200

300

400

500

600

700

800

900

1000

mA [GeV]

If a signature is observed at the Tevatron =⇒ lower bound on the value of tan β

tan β > 11



MA 100GeV

2/3 

µ+ µ − )

Br(Bs → 10−7

1/6

Interesting to study direct reach in MA via b¯b A/H production for large tan β and reach in Br(Bs → µ+ µ− ) for different sets of MSSM paraneters Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

MSSM Higgs sector at Tree-Level H1 , H2 doublets =⇒ 2 CP-even Higgs h, H

1 CP-odd state A

2 charged Higgs H±

Higgs masses and couplings given in terms of two parameters: mA and tan β ≡ v2 /v1

mixing angle α =⇒

cos2 (β

− α) =

2 m2 (m2 Z −mh ) h

m2 (m2 −m2 ) A H h

Couplings to gauge bosons and fermions (norm. to SM) hZZ, hWW, ZHA, WH± H HZZ, HWW, ZhA, WH± h

−→ sin(β − α) −→ cos(β − α)

(h,H,A) u¯ u −→ cos α/ sin β, sin α/ sin β, 1/ tan β ¯ + l− −→ − sin α/ cos β, cos α/ cos β, tan β (h,H,A) dd/l If mA  MZ → decoupling limit • cos(β − α) = 0

up to correc. O(m2Z /m2A )

• lightest Higgs has SM-like couplings and mass m2h ' m2Z cos2 2β • other Higgs bosons: heavy and roughly degenerate mA ' mH ' m± up to correc. O(m2Z /m2A ) H

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

Radiative Corrections to Higgs Masses important quantum correc. due to loops of particles and their superpartners: incomplete cancellation due to SUSY breaking =⇒ main effects: top and stop loops; bottom and sbottom loops in large tan β regime The stop mass matrix: 2 + m2 + D MQ L t

mt Xt

mt Xt

2 + m2 + D MU R t

2 m2h = MZ cos2 2β +

MS2 =

1 (m2t˜ 2 1

2 g22 m4t 2 8π 2 MW

!

DL ≡ ( 12 − 23 sin2 θW )Mz2 cos 2β and DR ≡ 23 sin2 θW Mz2 cos 2β

 ln(MS2 /m2t ) +

Xt2 MS2

 1−

Xt2 12 MS2

 + h.o.

+ m2t˜ ) and Xt = At − µ/ tan β −→ stop mixing 2

• two-loop log. and non-log.effects are numerically important → computed by different methods: diagrammatic effective potential RG-improved effective potential • upper limit on Higgs mass: mh < ∼ 135 GeV

Selected Topics in Higgs and Supersymmetry

MS = 1 → 2 TeV =⇒ ∆ mh ' 2 − 5 GeV ∆ mt = 1 GeV =⇒ ∆ mh ∼ 1 GeV

Marcela Carena, Fermilab

main effects already present in one-loop formulae

• m4t enhancement • logarithmic sensitivity to mt˜i • depend. on t˜-mixing Xt √ =⇒ max. value Xt ∼ 6MS (scheme depend.) small asym. at h.o. M.C. & Haber

MSU SY ≡ MQ = MU = MD

2 2 if MSU SY  mt → MS ' MSU SY

• at 2 loops → Mg˜ dependence Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

MSSM Higgs Masses as a function of MA

m2H cos2 (β − α) + m2h sin2 (β − α) = [mmax (tan β)]2 h

• cos2 (β − α) → 1 for large tan β, low mA =⇒ H has SM-like couplings to W,Z • sin2 (β − α) → 1 for large mA =⇒ h has SM-like couplings to W,Z

Hence, for large tan β: → always one CP-even Higgs with SM-like couplings to W,Z and mass below mmax ≤ 135 GeV h if mA > mmax h



mh ' mmax h

and

mH ' mA

if mA < mmax h



mh ' mA

and

mH ' mmax h

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

Radiative Corrections to Higgs Boson Couplings 1 Through rad. correc. to the CP-even Higgs mass matrix, δM2ij , which defines the mixing angle α p 2 sin α cos α = M12 / (TrM2 )2 − 4 detM2 important effects of rad. correc. on sin α or cos α depending on sign of µ At and magnitude of At /MS . =⇒ govern couplings of Higgs to fermions =⇒ via rad. correc. to cos(β − α) and sin(β − α) governs Higgs couplings to vector bosons

2 SUSY vertex correc. to Yukawa couplings, which modify the effective Lagrangian, coupling Higgs to fermions 

 

Leff −→ hb H10 b¯b + ∆hb H20 b¯b 

∆hb modifies the mb –hb relation

 



∆hb mb ' hb v1 + ∆hb v2 = hb v cos β 1 + tan β hb





µ Mg˜ 2αS ∆hb t˜χ ˜+ ∆b = tan β ∼ tan β + ∆b hb 3π max(m˜2 , m˜2 , Mg˜2 ) b1

∆b ∼ O(1) if tan β large

Selected Topics in Higgs and Supersymmetry

b2



h2 ˜χ µ At t ˜+ t ∼ tan β 2 2 b 16π max(m ,m2 ,µ2 ) ˜1 ˜2 t t

Marcela Carena, Fermilab

Modified Higgs Boson Couplings to b-quarks gh b¯b '

− sin α mb v cos β(1+∆b )

gH b¯b '

cos α mb v cos β(1+∆b )

gA b¯b '

mb v(1+∆b )

(1 − ∆b / tan α tan β) (1 − ∆b tan α/ tan β)

tan β

• similar effects on τ coupling but |∆τ |  |∆b | Important modifications of couplings occur for regions of MSSM parameter space −→ dep. on sign and values of µAt , µAb , µMg˜ and magnitudes of Mg˜ /MS , µ/MS • destroy the basic relation: gh b¯b /gh τ τ ∼ mb /mτ • strong suppression of coupling of h (H) to bottoms if tan α ' ∆b / tan β ((tan α)−1 ' −∆b / tan β) gh b¯b ' 0 ; gh τ τ ' − mvτ ∆b (h ↔ H) =⇒ main decay modes of SM-like MSSM Higgs: b¯b ∼ 80% drastically changed =⇒ other decay modes enhanced

τ + τ − ∼ 7 − 8%

=⇒ Higgs phenomenology at colliders revisited!!

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

More generally we can write the Effective Lagrangian: − Leff

=

ij

(hb + δhb )¯bR Hdi QjL + (ht + δht )t¯R QiL Huj





+∆ht t¯R QkL Hdk∗ + ∆hb¯bR QkL Huk∗ + h.c. The resulting interaction Lagrangian defining the couplings of the physical Higgs bosons to third generation fermions: Lint



=

X 







ghqq¯hq q¯ + gHqq¯Hq q¯ − igAqq¯A¯ q γ5 q + ¯bgH − t¯b tH − + h.c. .

q=t,b,τ

g(h/H/A),b¯b as given before. Similarly, g(h/H/A),τ + τ − replacing mb → mτ , ∆b → ∆τ and g(h/H/A),tt¯ replacing mb → mt , ∆b → ∆t , tan β, tan α → 1/ tan(β), 1/ tan(α) (no tan β enhancement in ∆t ; ∆τ  ∆b ) Similar to neutral Higgs case, for the charged Higgs one has important radiative corrections for large tan β

gH − t¯b

'

n

1 1 mt ∆ht mb cot β 1 − tan β PR + tan β PL v 1 + ∆t ht v (1 + ∆b )

h

i

h

i

also ∆mτ corrections in gH − τ ντ may be included.

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

o

MSSM Higgs Boson Searches at Hadron Colliders Due to large number of free parameters, a complete analysis of MSSM param. is too involved different initial states → production and decay channels relevant at lepton colliders are different from hadron colliders different enviroment at the Tevatron and LHC → different relevant Higgs production and decay channels as well Main Neutral Higgs Boson Production Processes Tevatron: vector-boson bremsstrahlung: p¯ p → V h/V H → V b¯b associated production: p¯ p → φb¯b → b¯bb¯b with φ = A/h or A/H LHC: vector-boson fusion: qq → qqV ∗ V ∗ → qqh, qqH, with h, H → V V, τ + τ − , γγ gluon fusion: gg → φ → γγ associated production gg, q q¯ → φtt¯ with subsequent decay φ → b¯b, γγ V V ∗

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

Benchmark Scenarios for the Search of the SM-like Neutral MSSM Higgs SM-like → MSSM Neutral Higgs with stronger coupling to the W,Z bosons (also to top for intermediate/large tan β) for mA > mmax →h h for mA < mmax (and tan β ≥ 10) → H h ≤ 135 GeV and mh(H) ≤ mmax h Scenarios proposed: designed to study MSSM Higgs Sector without any assumptions of a particular soft SUSY breaking scenario taking into account only constraints from the Higgs sector itself For each scenario: Fix values of t˜, ˜b sectors and gaugino masses Vary tan β and mA 0.5 ≥ tan β ≤ 50 and mA ≤ 1 TeV. Present results in terms of [σ × BR]M SSM [σ × BR]SM for various production channels

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

The mmax Scenario h maximizes the value of the lightest Higgs mass & allows conservative tan β exclusion bounds √ MSU SY = 1 TeV, Xt = 6 MSU SY , µ = M2 = 200 GeV, Ab = At , Mg˜ = 0.8 MSU SY

LHC h → γγ

Tevatron: h → b¯ b

• ghb¯b , ghτ τ enhanced due to sin αef f / cos β factor for low mA and intermediate/large tan β =⇒ strong suppression of h → γγ =⇒ gg → h → γγ strongly suppressed compared to SM and W ∗ /Z ∗ → W/Zh → W/Zb¯b nearly always enhanced (WWh/ZZh coupling is SM-like for mA ≥ mmax ) h For mA ≤ mmax , tan β ≥ 10 =⇒ W ∗ /Z ∗ → W/ZH → W/Zb¯b similar behavior h

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

LHC Prospects for Neutral Higgs searches: the mmax scenario h max_ms_1.0_pht_0_phg_0 40

40

40

40

30

30

30

30

20

20

−1

WW→h→ττ 30 fb LEP

10 9 8 7 6 5

10 9 8 7 6 5

4 3 2

100

150

200

250

300

350

MH+ (GeV)

40

10 9 8 7 6 5

10 9 8 7 6 5

4

4

4

3

3

3

2

2

100

150

200

250

300

350

2

40

30

−1

30

h→γγ 100 fb

20

20 LEP

tanβ

20

MH+ (GeV)

max_ms_1.0_pht_0_phg_0

10 9 8 7 6 5

10 9 8 7 6 5

4

4

3

3

2

−1

tth→bb 100 fb LEP

tanβ

20

tanβ

max_ms_1.0_pht_0_phg_0

100

150

200

250

300

350

• vector-boson fusion with decay into taus is the decisive channel with 30 f b−1 • h → γγ, from gluon fusion and associated production with top quarks, and h → b¯ b from associated production with top quarks, need 100 f b−1

2

MH+ (GeV)

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

The mmax scenario at LHC with 30 fb−1 h ma2_ms_1.0_pht_0_phg_0

ma2_ms_1.0_pht_0_phg_0

40

40

40

30

30

30

−1

tth→bb 30 fb

20

40 −1

20

20

20 LEP

10 9 8 7 6 5

10 9 8 7 6 5

4 3

100

150

200

250

300

350

MH+ (GeV)

Selected Topics in Higgs and Supersymmetry

10 9 8 7 6 5

10 9 8 7 6 5

4

4

4

3

3

3

2

2

tanβ

tanβ

LEP

2

30

h→γγ 30 fb

100

150

200

250

300

350

2

MH+ (GeV)

Marcela Carena, Fermilab

Small αeff Scenario Besides gg → h → γγ, most channels at the Tevatron and LHC rely on h → b¯b, τ + τ − If αeff (rad. corrected α) is small =⇒ ghb¯b and ghτ τ couplings can be importantly suppressed : Suppression occurs for moderate/large tan β and small/moderate mA Also, h → b¯b can have large corrections from ˜b/˜ g and t˜/χ ˜± loops (∆b ) MSUSY = 800 GeV, Xt = −1.2 TeV, µ = 2.5MSUSY , M2 = 500 GeV, Ab = At , Mg˜ = 500 GeV

Tevatron: h → b¯ b

LHC: h → τ +τ −

M.C., Heinemeyer, Wagner & Weiglein

• Significant suppression for tan β ≥ 20 and mA ≤ 200 (400) GeV for h → b¯b (τ τ ) =⇒ Searches via W/Zh, W W h and tt¯h will be more difficult than in the SM. Instead, the h → γγ channel will be enhanced compared to the SM.

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

LHC Prospects for Neutral Higgs searches: Small αeff scenario eff_ms_0.8_pht_0_phg_0 40

40

40

40

30

30

30

30

20

20

−1

WW→h→ττ 30 fb LEP

10 9 8 7 6 5

10 9 8 7 6 5

4 3 2

100

150

200

250

300

350

10 9 8 7 6 5

4

4

4

3

3

3

2

2

MH+ (GeV)

100

150

200

250

300

350

2

MH+ (GeV)

40

40

30

−1

30

h→γγ 30 fb

20

20 LEP

tanβ

20

10 9 8 7 6 5

ef2_ms_0.8_pht_0_phg_0

10 9 8 7 6 5

10 9 8 7 6 5

4

4

3

3

2

−1

tth→bb 100 fb LEP

tanβ

20

tanβ

eff_ms_0.8_pht_0_phg_0

100

150

200

250

300

350

• Complementarity between the vector boson fusion and the h → γγ channels for 30 f b−1 • tt¯h → tt¯b¯b channel relevant only with high luminosity

2

MH+ (GeV)

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

The αef f scenario at LHC: tth with 30 fb−1 , h → γγ with 100 fb−1 ef2_ms_0.8_pht_0_phg_0

eff_ms_0.8_pht_0_phg_0

40

40

40

30

30

30

−1

tth→bb 30 fb

20

40 −1

20

20

20 LEP

10 9 8 7 6 5

10 9 8 7 6 5

4 3

100

150

200

250

300

350

MH+ (GeV)

Selected Topics in Higgs and Supersymmetry

10 9 8 7 6 5

10 9 8 7 6 5

4

4

4

3

3

3

2

2

tanβ

tanβ

LEP

2

30

h→γγ 100 fb

100

150

200

250

300

350

2

MH+ (GeV)

Marcela Carena, Fermilab

Charged Higgs searches at the Tevatron +

BR(t −> H b) 

160

• Curves of constant BR for t → bH + after resummation of LO and NLO logarithms of QCD corrections included applying OPE 

MH+ (GeV)

150 140

0.1

0.2

130

0.3

Shaded area excluded by Run1 DØ frequentist analysis from H ± searches in top decays

120 0.4 0.5

110

0.6

100

10

20

30

40

50

60

70

80

90

100

tanβ

• Including dominant SUSY correc. for large tan β and a heavy SUSY spectrum imp.

based on L '

m ¯b (Q) tan β √ g 1+∆mb 2MW





Vtb H + t¯L bR (Q) + h.c. =⇒ ΓM SSM '

+

BR(t −> H b)





160

160

150

150

140

140

Drastic variations on tan β –mH ±

0.1 

130 0.2

MH+ (GeV)

0.1

MH+ (GeV)

(1+∆mb)2

+

BR(t −> H b)



ΓQCD

120

plane bounds, depending

0.2 0.3

130

on MSSM parameter space

0.4 0.5

120 0.3

0.6

110

110

0.7

0.4

100

10

20

30

40

50

60

70

80

90

100

tanβ

100

10

20

30

40

50

60

70

80

90

100

tanβ

M.C., Garcia, Nierste, Wagner

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

Similar analysis for pp → H + tb + X at LHC for large tan β

MA0 [GeV] 60

200

50

300

400

500

600

700

800

900

-1

L=300 fb

LHC QCD

K

=1

Discovery reach at the LHC for different sets of SUSY parameters, which can enhance or suppress the H ± tb coupling

40

30 tanβ

5σ discovery 20

Tree-Level set A set B set C set D 10 200

300

400

500

600 700 MH+ [GeV]

800

900

1000

Discovery reach at LHC with 300 fb−1 and tan β > 30 • best case scenario: mH + ≤ 1 TeV • worst case scenario: mH + ≤ 450 GeV Belyaev, Garcia, Gausch, Sola

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

CP violation in the Higgs Sector • at tree level =⇒ MSSM Higgs potential invariant under CP • After radiative corrections: CP violation induced through loop effects via 3. generation sfermion and gaugino mass parameters

Many possible relevant phases to Higgs sector mg˜ ( one phase if Univ. gaugino masses) Af

µ

and

m212

Due to U(1) symm.of the conformal inv. sector: → one can redefine fields and absorb two phases rephasing inv. combinations if

Im ((m212 )∗ Af µ) 6= 0

and/or

Im ((m212 )∗ mg˜ µ) 6= 0

=⇒ CP violating effects will be present in the MSSM in practice, take m212 and µ real and leave phases in Af and mg˜

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

Higgs Potential → Quantum Corrections Minimization should be performed with respect to real and imaginary parts of Higgs fluctuations H10 = φ1 + iA1 H20 = φ2 + iA2 Performing a rotation: A1 , A2

=⇒ A, G0 (Goldstone)

 Main Effect of CP-Violation is the mixing between the three neutral Higgs boson states

 

A Φ1 Φ2





 = O  

H1 H2

  

H3

In the base (A, φ1 , φ2 ):

" M2N =

m2A 2 MSP

2 MSP

T #

2 MSS

2 is similar to the mass matrix in MSS the CP conserving case, and 2 is the mass of the would-be CP-odd Higgs. MA

2 ∝ Im(µA ) where MSP t

m2A no longer a physical parameter, but the charged Higgs mass MH ± can be used as a physical parameter, together with MS , |µ|, |At |, arg(At ) and arg(Mg˜ )

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

Interaction Lagrangian of W , Z vector bosons with mixtures of CP-even & CP-odd Higgs bosons. ⇓ gHi V V gHi Hj Z

= =

gHi H − W +

=

cos β O1i + sin β O2i (V = W, Z) O3i (cos β O2j − sin β O1j ) − O3j (cos β O2i − sin β O1i ) cos β O2i − sin β O1i + iO3i Oij −→ analogous to sin(β − α) & cos(β − α)

−→ all couplings as a fc. of two: gHk V V = ijk gHi Hj V and sum rules:

P3

2 g H i=1 i ZZ

=1

P3

2 g H i=1

i ZZ

< m2H = m2,max ∼ 135 GeV H1 i

(equiv. to CP-conserv. case) upper bound remains the same Decoupling limit:

mH +  MZ

• effective mixing between the lightest Higgs H1 and the heavy ones is zero: H1 −→ SM-like • Due to high degeneracy between the would-be mA & mH

−→

m2A





∆0 + m2A

! w/

∆ ∼ O(∆0 )  m2A −→ mixing still relevant

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

Yukawa Couplings

−Lφb¯b =

hb H10

+

∆hb H20



¯bL bR + h.c.

Coupling ∆hb generated by SUSY breaking effects

∆hb '

∗ ∗ α3 Mg ˜µ 3π M 2 S

The one loop corrections to the Yukawa couplings introduce CP-violating 0 effects which are independent of Higgs mixing (like  and  )

S gH

P gH

i dd

i dd

=

1 hd cos β+∆hd sin β

=

1 hd cos β+∆hd sin β

h

h



i



i

Re(hd )O1i + Re(∆hd )O2i + Im(hd ) sin β − Im(∆hd ) cos β O3i

Im(hd )O1i + Im(∆hd )O2i + Re(hd ) cos β − Re(∆hd ) sin β O3i

where we have defined the phase of the superfield bR m2b ∝ hb + δhb + ∆hb tan β to be real and positive

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

CP-Violating Higgs Bosons in the light of LEP2 Production Mechanism: e+ e− → Hi Z and e+ e− → Hi Hj MH1, MH2 [ GeV ]

CPX Scenario: MSU SY = 0.5, 1 TeV µ = 4 MSU SY mg˜ = 1 TeV |At | = |Ab | = 2MSU SY

140 130 120



110





100

90 

80

MH+ = 150 GeV, tanβ = 4 

70

µ = 2 TeV, |At| = |Ab| = 1 TeV MSUSY = 0.5 TeV, m(gluino) = 1 TeV



60 

40



m(Wino) = m(Bino) = 0.3 TeV 

0

20

40

60



80 100 120 arg (At) = arg (Ab) [ deg ] 



H3ZZ

g2

(a)

1

g , H2ZZ

g2

2

H1ZZ

H1ZZ

g2

,

• interesting example: arg(At,b ) = 90o , arg(mg˜ ) = 90o mH ± ' 150 GeV −→ mH1 ' 70 GeV mH2 ' 105 GeV

50

10

g

2

H3ZZ

-1

g2 H1ZZ

•MH1 very small but gh1 ZZ → 0, •MH1 + MH2 too heavy for the given value of the gH1 H2 Z coupling • MH2 just at the edge of LEP reach

g

2

H2ZZ

10

-2 

0

20

40

60



80 100 120 arg (At) = arg (Ab) [ deg ] 



(b)

Pilaftsis

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

Other cases may require extra studies: 180

OPAL preliminary tanβ

mH2 (GeV)

(a)

170

(b)

{

e.g. if H1 H2 kinematically allowed and H2 → H1 H1 open, then present LEP bounds may be challenged.

MSSM CPX

MSSM CPX

160

a)MH2 ≤ 130 GeV =⇒

10

150 140

{

major role of CP-violating effects.

130

Excluded

120

Excluded

110 Theoretically inaccessible

100 90

0

50

Theoretically inaccessible

1

100

0

200

400

(c)

MSSM CPX

10

mH2 (GeV) tanβ

tanβ

mH1 (GeV) (d)

MSSM CPX

Excluded

Excluded Theoretically inaccessible

0

50

100

c)region of MH1 ≤ 50 GeV −→ open channels: ZH2 and H1 H2 with H2 → H1 H1 → b¯bb¯b (broaden signal with reduced sensitivity)

10

1

b)tan β <2.8 excluded

example: mH1 = 39 GeV, mH2 = 105 GeV tan β = 8.5 not excluded

Theoretically inaccessible

1 0

mH1 (GeV)

200

400 mH+ (GeV)

• Due to reduced couplings of Hi to W/Z gauge bosons and to extended regions where H2 → H1 H1 dominates No limit on lightest Higgs can be given independent of tan β (May change after combination of 4 experiments) • Can Such decay chain be seen at the Tevatron? Some studies at parton level. . . also for LHC Selected Topics in Higgs and Supersymmetry

gg → H2 → H1 H1 ? Marcela Carena, Fermilab

Approximate LEP exclusion and Tevatron (3σ / 5 fb−1 ) and LHC (5σ discovery) limits in the mH1 − tan β plane for CPX scenarios with different phases (arg Mg˜ ) = arg(At,b ) LEP(95)/TeV(3σ)/LHC(5σ) for CPX0.5 



20



40

60

80

100

120 20

40

60

80

100

120

40 30

40 30

20

20

10

10





5

5 0

tanβ

45◦ lines → Tevatron: W/Z Hi (→ b¯b)

0

90

60

2 40 30

2 40 30

20

20

10

10





5

5

300

00

2

2 20

40



60

80

100

120 20

40



60

80

100

135◦ lines → LHC: gg → Hi → γγb (100 fb−1 ) tt¯Hi (→ b¯b) (100 fb−1 ) WW/ZZ Hi (→ τ + τ − ) (30 fb−1 ) grey → LEP exclusion. M.C., Ellis, Pilaftsis, Wagner

120

MH1 (GeV)

• low tan β and low mHi region remains uncovered in the absence of the H2 → H1 H1 analysis • Encourage the study of gg → H2 → H1 H1 and tt¯H2 and W/Z H2 with subsequent decay H2 → H1 H1 using the extra leptons from the W/Z’s. Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

Similar plot as above but showing different channels separately and in the tan β–mH + plane CPX0.5 900 900 100 125 150 175 200 225 250 275

100 125 150 175 200 225 250 275

40 30

40 30

20

20

10

10





tanβ

5

5

ttHi

WHi



2 40 30



2 40 30

20

20

10

10



The Tevatron could see a 3 σ hint with 5 fb−1 in a sizeable area of parameter space If arg(M˜ g )= 0 instead, stronger suppression of BR(H1,2 ) → b¯b and both upper channels less competitive gluon fusion Higgs production with subsequent decay into taus still crucial channel at first years of LHC!



5

5

Hi→γγ

WW→Hi 

2

100 125 150 175 200 225 250 275



100 125 150 175 200 225 250 275

2

MH+ (GeV)

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

In some regions of parameter space → strong H1 → τ + τ − suppression CPX0.5 1400 1400 100 125 150 175 200 225 250 275

100 125 150 175 200 225 250 275

40 30

40 30

20

20

10

10





tanβ

5

5

ttHi

WHi



2 40 30

However, depending on the charged Higgs mass and tan β values → b¯b becomes suppressed with respect to τ + τ −



2 40 30

20

20

10

10



• Complementarity of Tevatron and low luminosity LHC could be crucial for early discovery in this type of scenarios.



5

5

Hi→γγ

WW→Hi 

2

100 125 150 175 200 225 250 275



100 125 150 175 200 225 250 275

2

MH+ (GeV)

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

In MSSM with CP violation: mass splitting among neutral Higgs bosons can be sizeable and they can share their couplings to W/Z’s 3HGC20.5 1450 1450 100 125 150 175 200 225 250 275

100 125 150 175 200 225 250 275

40 30

40 30

20

20

10

10 5

=⇒ 3 signatures with very low significance

2 40 30

=⇒ they can be very close in mass and

20

20

the other.

10

10





tanβ

5

ttHi

WHi



2 40 30





“one signal” can be the background to



5

5

Hi→γγ

WW→Hi 

2

100 125 150 175 200 225 250 275



100 125 150 175 200 225 250 275

2

MH+ (GeV) Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

? MSSM SM-like Higgs studies show that

Tevatron W/ZHi (→ b¯b) and LHC W W Hi (→ τ + τ − ) =⇒ direct test of Higgs mechanism, can be affected very differently by radiative corrections. =⇒ nice complementarity • tt¯Hi (→ b¯b) needs high luminosity option at LHC O(100 fb−1 ) • h → γγ channel may be difficult depending on SUSY parameter space (especially in CPX scenarios) • LHC discovery reach in the first years relies strongly on vector-boson fusion Higgs production, with Hi → τ + τ − . It will be useful to study this channel with detailed detector simulations including specially challenging cases.

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

Outlook By the End of This Decade Tevatron • will have measured Mt , MW to unprecedented accuracy −→ indirect constraints on MHSM • If Nature is kind, discovery of new particles. • If Nature, the accelerator and the detectors are kind, and physicists very smart, we may learn something about EWSB! In the Next Decade LHC: A sure window to new physics: • Higgs • SUSY • New Dimensions

• New Particles & Interactions

• If Higgs & SUSY are there, we will find out. • If Nature is kind, we will know exactly which type of SUSY is there. LC • unique capabilities to do precision Physics • open the window to Planck scale physics • unique connection with Cosmology

Selected Topics in Higgs and Supersymmetry

Marcela Carena, Fermilab

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