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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