1. 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
南开大学

2. MSSM 超对称 NMSSM nMSSM arXiv: 0810.0989 (Cao, Yang)
arXiv: (Cao, Logan, Yang) 
arXiv: (Wang, Xiong, Yang)
arXiv:   (Wang, Xiong, Yang, Yu)
arXiv: (Heng, Oakes, Wang, Xiong, Yang) 

3. 目录 1. 模型介绍: MSSM,NMSSM,nMSSM 2. 唯象研究 3、结论 2.1 目前的实验限制 2.2 可允许的参数空间
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

4. 1. 模型 超对称 GUT Dark Matter Inflation Fine-Tuning Electroweak
1. 模型
Fine-Tuning
GUT
Dark Matter
超对称
Electroweak
Baryogenesis
Inflation
Affleck-Dine
Baryogenesis

5. R-conserving SUSY Models
MSSM, CMSSM (mSUGRA, GMSB, AMSB)
NMSSM，nMSSM
Split-SUSY
· · ·
R-violating SUSY Models

6. MSSM
NMSSM, nMSSM
CMSSM
-problem
little hierarchy

7. -problem in MSSM: =0 dimensionful parameter conserving SUSY
should be at Planck scale or 0
chargino is too light
=0
only one Higgs-doublet gets vev

8. little hierarchy in MSSM:
Experimental lower bound
need sizable loop effects !
mh  114 GeV (95 GeV)
Theoretical upper bound
mh  GeV (tree-level)
~ 500 GeV
 GeV (loop-level)
100 GeV

9. MSSM + singlet NMSSM, nMSSM: Dynamical solution to -problem
Solve little hierarchy problem
Field Content:
MSSM +
singlet
no dimensionful parameter (NMSSM)
SUSY-conserving part:
naturally small dimensionful parameter (nMSSM) 特点
SUSY breaking ( < TeV )
dimensionful soft
parameters (TeV)
SUSY-breaking part:
trigger EWSB ( < TeV )
generate -term ( < TeV )

10. motivated from top-down view ?
E6 models (superstring-inspired)
string scale
SO(10)  U(1)  …
at low energy: S, Hu, Hd + heavy particles
U(1) global PQ
cubic term
(NMSSM)
to break U(1) PQ
tadpole
(nMSSM)

11. NMSSM 超势： 标势： U(1)R  Z3 (non-R) U(1)R ( A0, A0 )：PGB
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)
0
U(1)PQ: Q(-1), U(0), D(0), L(-1), E(0), Hu(1), Hd(1), S(-2)
标势：
U(1)R  Z3 (non-R)
U(1)R ( A0, A0 )：PGB

12. Z3 ( X  ei2/3 X ) domain wall NMSSM domain wall：
自发破却
domain wall
must disappear before BBN
要求 Z3-breaking term in Veff
impose discrete R-symmetry on W
引入high-order non-renormalizable operator to W
multi-loop
large enough to break Z3
too small to upset gauge hierarchy

13. nMSSM 超势： U(1)R  Z2 matter parity  0
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)PQ: Q(-1), U(0), D(0), L(-1), E(0), Hu(1), Hd(1), S(-2)
U(1)R  Z2 matter parity

14. + MSSM Spectrum of NMSSM/nMSSM: One more CP-odd Higgs (A1 or a )
One more CP-even Higgs
One more neutralino

15. How to solve -problem ？ V Before SUSY breaking
SUSY vacuum: Vmin = 0
〈  〉 = 0 
EW not broken; no  term
With SUSY breaking (TeV)
dimensionful soft parameters (TeV) V
non-SUSY vacuum: Vmin < 0
〈  〉  0
SUSY breaking ( < TeV ) 
trigger EWSB ( < TeV )
generate -term ( < TeV )

16. How to solve little hierarchy ？
mh theoretical upper bound
MSSM:
NMSSM:
mh experimental lower bound
suppressed !
has singlet component
suppressed !

17. 2.唯象研究
2.1 实验限制
(1) direct bounds:
LEP I
LEP II
Tevatron
LEP II

18. true (physical) vaccum
(2) Stability of Higgs Potential
true (physical) vaccum
local vaccum 
(3) Cosmic Dark Matter (WMAP)

19. (4) Precision Electroweak Data
1 , 2 , 3 (S, T, U) Rb
= (Zbb)/  (Zhadrons)
SUSY

20. (6)  反常磁矩 a   

21. 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 ?

22. 2.2 可存活的参数空间
NMSSM
暗物质
黑格斯

23. nMSSM
暗物质
黑格斯衰变

24. 2.3 Zbb anomaly

25. 2.4 FCNC B -Decays
SUSY
SUSY

26. expt
data
no expt data

27. 
NMSSM
Sky-blue points excluded by

28. 
NMSSM
Sky-blue points excluded by

29. 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

30. NMSSM

31. 2.6 解释Pamela NMSSM No！ nMSSM GMSSM: general singlet extension of MSSM
--Pamela+Relic density via Sommerfeld Enhance
NMSSM
nMSSM
No！
LSP mass in a narrow range
No light particles to give SE
GMSSM: general singlet extension of MSSM
OK !

32. General singlet extension of MSSM:

35. DM Annihilation  h, a  Large Sommerfeld Enhancement Induced by h 
Relic Density 
DM Annihilation  h, a 
Large Sommerfeld Enhancement Induced by h  
Pamela 
Hooper, Tait

36. Implication on SM-like Higgs Pheno:

37. 3. 结论 except: Zbb anomaly is well motivated:
can account for all current expt data:
Precision Electroweak Data; Rb
 g-2
FCNC B-decays
Dark Matter Relic Density
Pamela ?
except: Zbb anomaly
LHC
Super B-factory
暗物质实验
检验模型