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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