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Phenomenology of Non-minimal SUSY Models. Jin Min Yang 杨 金 民. Institute of Theoretical Physics, Academia Sinica, Beijing. 中国科学院 理论物理研究所. 2009.10.22 国立清华大学. NMSSM. arXiv: 0 810.0751 , in JHEP , Cao, Yang . arXiv: 0 810.0989 , in PRD , Cao, Yang . SUSY. - PowerPoint PPT Presentation
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Phenomenology of Non-minimal SUSY Models
2009.10.22 国立清华大学
Jin Min Yang
杨 金 民
Institute of Theoretical Physics, Academia Sinica, Beijing
中国科学院 理论物理研究所
SUSY
NMSSM
MSSM
nMSS
M
arXiv: 0810.0751 , in JHEP , Cao, Yang
arXiv: 0901.1437, in PRD(R), Cao, Logan, Yang
arXiv: 0901.3818, in PLB, Wang, Xiong, Yang
arXiv: 0908.0486, in JHEP, Wang, Xiong, Yang, Yu
arXiv: 0801.1169, in PRD, Heng, Oakes, Wang, Xiong, Yang
SUSY
arXiv: 0810.0989 , in PRD , Cao, Yang
Outline
1. Models: MSSM,NMSSM,nMSSM
2. Phenomenology Studies2.1 Current expt constraints2.2 Allowed parameter space2.3 Zbb anomaly2.4 B-meson FCNC decays2.5 Residual effects of heavy SUSY2.6 Explain PAMELA
3 、 Conclusion
SUSY
Fine-Tuning
GUTDark Matter
Inflation
Affleck-DineBaryogenesis
Electroweak Baryogenesis
1. SUSY Models
|F |B SUSY
• R-conserving SUSY Models
• R-violating SUSY Models
MSSM, CMSSM (mSUGRA, GMSB, AMSB)
NMSSM , nMSSM
Split-SUSY
· · ·
MSSM NMSSM, nMSSMCMSSM
-problem
little hierarchy
-problem in MSSM:
=0chargino is too light
only one Higgs-doublet gets vev
dimensionful parameter
conserving SUSY
should be at Planck scale or 0
little hierarchy in MSSM:
• Experimental lower bound
mh 114 GeV (95 GeV)
• Theoretical upper bound
mh 90 GeV (tree-level)
135 GeV (loop-level)
need sizable loop effects !
~ 500 GeV
100 GeV
NMSSM, nMSSM:
MSSM + singlet
Dynamical solution to -problem
Solve little hierarchy problem
Field Content:
SUSY-conserving part:
SUSY-breaking part: trigger EWSB ( < TeV )
generate -term ( < TeV )
dimensionful soft parameters (TeV)
no dimensionful parameter (NMSSM)
naturally small dimensionful parameter (nMSSM)
SUSY breaking ( < TeV )
E6 models (superstring-inspired)
SO(10) U(1) …
string scale
at low energy: S, Hu, Hd + heavy particles
U(1) global PQ
to break U(1) PQ
motivated from top-down view ?
(NMSSM)
tadpole (nMSSM)
cubic term
NMSSM Superpotential :
U(1)PQ: Q(-1), U(0), D(0), L(-1), E(0), Hu(1), Hd(1), S(-2)
U(1)R Z3 (non-R)
U(1)B: Q(1/3), U(-1/3), D(-1/3), L(0), E(0), Hu(0), Hd(0), S(0)
U(1)L: Q(0), U(0), D(0), L(1), E(-1), Hu(0), Hd(0), S(0)
U(1)R: Q(1), U(1), D(1), L(1), E(1), Hu(1), Hd(1), S(1), W(3)
Scalor Potential :
U(1)R ( A0, A0 ) : PGB
0
Z3
NMSSM domain wall :
( X ei2/3 X )
domain wallmust disappear before BBN
So we need Z3-breaking term in Veff
SSB
impose discrete R-symmetry on W
introduce high-order non-renormalizable operator to W
multi-loop
too small to upset gauge hierarchy
large enough to break Z3
nMSSM Superpotential :
U(1)PQ: Q(-1), U(0), D(0), L(-1), E(0), Hu(1), Hd(1), S(-2)
U(1)B: Q(1/3), U(-1/3), D(-1/3), L(0), E(0), Hu(0), Hd(0), S(0)
U(1)L: Q(0), U(0), D(0), L(1), E(-1), Hu(0), Hd(0), S(0)
U(1)R: Q(1), U(1), D(1), L(1), E(1), Hu(0), Hd(0), S(2), W(2)
0
U(1)R Z2 matter parity
Spectrum of NMSSM/nMSSM:
One more CP-odd Higgs (A1 or a )
One more CP-even Higgs
One more neutralino
MSSM +
• Before SUSY breaking
SUSY vacuum: Vmin = 0
〈 〉 = 0EW not broken; no term
• With SUSY breaking (TeV)
non-SUSY vacuum: Vmin < 0 〈 〉 0
How to solve -problem ?
trigger EWSB ( < TeV )
generate -term ( < TeV )
dimensionful soft parameters (TeV)
SUSY breaking ( < TeV )
V
V
How to solve little hierarchy ?
mh experimental lower bound
suppressed !
MSSM:
NMSSM:
has singlet component
mh theoretical upper bound
•
• suppressed !
2.1 Expt Constraints
(1) direct bounds: • LEP I
• LEP II
• Tevatron
• LEP II
2.Phenomenology Studies
(3) Cosmic Dark Matter (WMAP)
(2) Stability of Higgs Potential
true (physical) vaccum
local vaccum
V
(4) Precision Electroweak Data
1 , 2 , 3 (S, T, U)
(5) Rb
= (Zbb)/ (Zhadrons)
SUSY
(6) g-2
Under all above constraints
scan over parameter space
to find out the allowed part
• display the allowed part
• predict FCNC B-decay
• can solve Zbb anomaly ?
• residual SUSY effects
• explain Pamela ?
2.2 Allowed Parameter Space
NMSSM
Higgs Dark Matter
arXiv: 0810.0989 , in PRD , Cao, Yang
nMSSM
Dark Matter Higgs Decays
arXiv: 0901.1437, in PRD(R), Cao, Logan, Yang
2.3 Zbb anomaly
arXiv: 0810.0751 , in JHEP , Cao, Yang
2.4 FCNC B -Decays
SUSY SUSY
arXiv: 0801.1169, in PRD, Heng, Oakes, Wang, Xiong, Yang
exptdata
no expt data
Sky-blue points excluded by
NMSSM
Sky-blue points excluded by
NMSSM
2.5 Residual Effects of Heavy SUSY
Heavy sparticles can leave over sizable quantum effects in the light Higgs sector
arXiv: 0901.3818, in PLB, Wang, Xiong, Yang
NMSSM
2.6 To Explain PAMELA--Pamela+Relic density via Sommerfeld Enhance
NMSSMnMSSM
No ! LSP mass in a narrow range No light particles to give SE
general singlet extension of MSSM: OK !
General singlet extension of MSSM:
• h ~ GeV, a < 0.5 GeV
Sommerfeld enhancement
Final states
singlet-like
h ~ GeV , a < 0.5 GeV
arXiv: 0908.0486, in JHEP, Wang, Xiong, Yang, Yu
Sommerfeld enhancement
PAMELA
arXiv: 0906.0362 Hooper, Tait
Implication on SM-like Higgs decay:
other visible modes (like ) are supressed
3. Conclusion
NMSSM, nMSSM, General Singlet Extension
Dark Matter Relic Density
Precision Electroweak DataRb
g-2
. . . . . . . . . PAMELA
Zbb anomaly
B-meson FCNC decays
Residual effects of heavy SUSY
Higgs Decays
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