非最小超对称唯象研究: 工作汇报
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非最小超对称唯象研究: 工作汇报. 杨 金 民. 中科院 理论物理所. 2009.9.25 南开大学. MSSM. 超对称. arXiv: 0 810.0989 (Cao, Yang) . nMSSM. NMSSM. arXiv: 0901.1437 (Cao, Logan, Yang) . arXiv: 0901.3818 (Wang, Xiong, Yang). arXiv: 0908.0486 (Wang, Xiong, Yang, Yu). - PowerPoint PPT PresentationTRANSCRIPT
非最小超对称唯象研究:工作汇报
杨 金 民
2009.9.25 南开大学
中科院 理论物理所
超对称
MSSM
NM
SSM nMSS
M arXiv: 0810.0989 (Cao, Yang)
arXiv: 0901.1437 (Cao, Logan, Yang)
arXiv: 0901.3818 (Wang, Xiong, Yang)
arXiv: 0908.0486 (Wang, Xiong, Yang, Yu)
arXiv: 0801.1169 (Heng, Oakes, Wang, Xiong, Yang)
目录
1. 模型介绍 : MSSM,NMSSM,nMSSM
2. 唯象研究2.1 目前的实验限制2.2 可允许的参数空间2.3 Zbb 反常2.4 B- 介子的双轻衰变2.5 超对称粒子的残留效应2.6 解释暗物质 Pamela
3 、结论
超对称
Fine-Tuning
GUTDark Matter
Inflation
Affleck-DineBaryogenesis
Electroweak Baryogenesis
1. 模型
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 )特点
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 超势:
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)
标势:
U(1)R ( A0, A0 ) : PGB
0
Z3
NMSSM domain wall :
( X ei2/3 X )
domain wallmust disappear before BBN
要求 Z3-breaking term in Veff
自 发 破 却
impose discrete R-symmetry on W
引入 high-order non-renormalizable operator to W
multi-loop
too small to upset gauge hierarchy
large enough to break Z3
nMSSM 超势:
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 实验限制
(1) direct bounds: • LEP I
• LEP II
• Tevatron
• LEP II
2. 唯象研究
(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) 反常磁矩 a
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 可存活的参数空间
NMSSM
黑格斯 暗物质
nMSSM
暗物质 黑格斯衰变
2.3 Zbb anomaly
2.4 FCNC B -Decays
SUSY SUSY
exptdata
no expt data
Sky-blue points excluded by
NMSSM
Sky-blue points excluded by
NMSSM
2.5 超对称粒子的残留效应
重的 sparticles 会在轻的 Higgs 部分 有大的残留效应
NMSSM
2.6 解释 Pamela--Pamela+Relic density via Sommerfeld Enhance
NMSSMnMSSM
No ! LSP mass in a narrow range No light particles to give SE
GMSSM: general singlet extension of MSSM
OK !
General singlet extension of MSSM:
(1) Relic Density
(2) DM Annihilation h, a
(3) Large Sommerfeld Enhancement Induced by h
Pamela
Hooper, Tait
0906.0362
Implication on SM-like Higgs Pheno:
3. 结论• is well motivated:
• can account for all current expt data:
except: Zbb anomaly
Dark Matter Relic Density Pamela ?
Precision Electroweak Data; Rb
g-2
FCNC B-decays
. . . . . . . . .
LHCSuper B-factory暗物质实验
检验模型