Muon g-2, 125 GeV Higgs and Neutralino Dark Matter in ... · massof around a TeV. Ilia Gogoladze Muon g 2, 125 GeV Higgs and Neutralino Dark Matter in Split-family SUSY [GeV] 0 m

Miami 2013, Fort Lauderdale, Florida

Muon g − 2, 125 GeV Higgs and Neutralino DarkMatter in Split-family SUSY

Ilia Gogoladze

Bartol Research InstituteDepartment Physics and Astronomy

University of Delaware, USA

in collaboration with K.S. Babu, Shabbar Raza, Qaisar Shafi and Cem Salih Un

Ilia Gogoladze Muon g − 2, 125 GeV Higgs and Neutralino Dark Matter in Split-family SUSY

Discovery of the Standard Model Higgs Boson Like Particle

mh ≈ 125− 126 GeV

(GeV)Hm110 115 120 125 130 135 140 145

of S

M H

iggs

hyp

othe

sis

SC

L

-710

-610

-510

-410

-310

-210

-110

1

99.9%

95%

99%

ObservedExpected (68%)

Expected (95%)

CMS -1 = 8 TeV, L = 5.3 fbs -1 = 7 TeV, L = 5.1 fbs


Lightest CP Even Higgs Boson Mass Bound in the MSSM

A. Arbey, M. Battaglia, A. Djouadi, F. Mahmoudi and J. Quevillon, Phys. Lett. B 708, 162 (2012)


The Lightest CP Even Higgs Boson Mass in the MSSM

m2h ≈ M2

Z cos2 2β

(1− 3

8π2m2

t

v2t

)+

3

4π2m4

t

v2

[1

2Xt + t

+1

16π2

(3

2

m2t

v2− 32πα3

)(Xtt + t2

)]

t = logM2

SUSY

m2t

, Xt =2X2

t

M2SUSY

(1− X2

t

12M2SUSY

)Xt = At − µ cotβ, MSUSY =

√mtL

mtR


Outcome

Low scale supersymmetry can accommodate a Higgs withmass mh ' 125 GeV in the MSSM but requires either a verylarge, O(few − 10) TeV, stop quark mass, or a large softsupersymmetry breaking trilinear At-term, with a stop quarkmass of around a TeV.


[GeV]0m500 1000 1500 2000 2500 3000

[GeV

]1/

2m

100

200

300

400

500

600

700

800

900

1000

± l~ LEP2

± 1

χ∼ LEP2 No EWSB

= L

SP

τ∼

Non-Convergent RGE's) = 500g~m(

) = 1000g~m(

) = 1500g~m(

) = 2000g~m(

) = 1000

q~m(

) = 1500q~m(

) = 2000

q~m(

) = 2500

q~m

(

)=10βtan( = 0 GeV0A

> 0µ = 173.2 GeVtm

-1 = 7 TeV, L = 4.73 fbsCMS,

b obs. limitsT2 / MT2M

expt.)σ1±b exp. limits (T2 / MT2M

theo.)σ1±b obs. limits (T2 / MT2M

[GeV]0m500 1000 1500 2000 2500 3000 3500 4000

[GeV

]1/

2m

200

300

400

500

600

700

(600)g~

(800)g~

(1000)g~

(1200)g~

(600)

q~

(1000)q ~

(1400)q ~

(1800)q ~

>0µ= 0, 0

= 10, AβMSUGRA/CMSSM: tan

=7 TeVs, -1 L dt = 4.7 fb∫Combined

ATLAS

Combined

)theorySUSYσ1 ±Observed limit (

)expσ1 ±Expected limit (

-1, 1.04 fb710 (2012) 67-85PLB

LSPτ∼

LEP Chargino

No EWSB

mg & 1.4 TeV (for mg ∼mq); mg & 0.9 TeV (for mg mq)


The anomalous magnetic moment of muon,aµ = (g − 2)µ/2, (muon g − 2)

∆aµ ≡ aµ(exp)− aµ(SM) = (28.6± 8.0)× 10−10

3.6σ discrepancy

The leading contribution from low scale supersymmetry


The leading contribution from low scale supersymmetry

∆aµ =αm2

µ µM2 tanβ

4π sin2 θW m2µL

[fχ(M2

2 /m2µL

)− fχ(µ2/m2µL

)

M22 − µ2

]

+αm2

µ µM1 tanβ

4π cos2 θW (m2µR−m2

µL)

[fN (M2

1 /m2µR

)

m2µR

−fN (M2

1 /m2µL

)

m2µL

]

The loop functions are defined as follow

fχ(x) =x2 − 4x+ 3 + 2 lnx

(1− x)3, fχ(1) = −2/3

fN (x) =x2 − 1− 2x lnx

(1− x)3, fN (1) = −1/3

G. F. Giudice, P. Paradisi, and A. Strumia, JHEP 1210, 186 (2012)


Relevant quantities for muon g − 2 calculation

M1, M2, µ, tanβ,mµL , mµR

Assuming universality in the gaugino sector and universalfirst two family sfermion mass

M1, µ, tanβ, mµR

So we need light O(100) GeV smuons, bino and winos butheavy (> 1 TeV) colored sparticles.

With universal sfermion masses and universality in gauginosector there can be problem explaining muon g-2 and resultfrom LHC.N. Okada, S. Raza and Q. Shafi, arXiv:1307.0461 [hep-ph].


Random scans performed for the following parameter range:

0 ≤ m1,2 ≤ 3 TeV

0 ≤ m3 ≤ 3 TeV

0 ≤M1/2 ≤ 3 TeV

−3 ≤ A0/m3 ≤ 3

2 ≤ tanβ ≤ 60

0 ≤ µ ≤ 3 TeV

0 ≤ mA ≤ 3 TeV

µ > 0


The various phenomenological constraints

123 GeV ≤ mh ≤ 127 GeV0.8× 10−9 ≤ BR(Bs → µ+µ−) ≤ 6.2× 10−9 (2σ)

2.99× 10−4 ≤ BR(b→ sγ) ≤ 3.87× 10−4 (2σ)

0.15 ≤ BR(Bu→τντ )MSSM

BR(Bu→τντ )SM≤ 2.41 (3σ)

0.913 ≤ ΩCDMh2 ≤ 0.1363 (5σ)


Yellow represent ∆aµ in 1σ deviation. Green satisfy allcollider constraints. Brown satisfy the WMAP bound.


Yellow represent ∆aµ in 1σ deviation. Green satisfy all colliderconstraints. Brown satisfy the WMAP bound.


Yellow represent ∆aµ in 1σ deviation. Green satisfy all collider

constraints. Brown satisfy the WMAP bound.


Yellow represent ∆aµ in 1σ deviation. Green satisfy all colliderconstraints. Brown satisfy the WMAP bound.


Point 1 Point 2 Point 3 Point 4m1,2 222 302 355 55.2m3 2862 1760 1623 2610M1/2 545.6 494 645 886.2

tan β 35.4 20.9 44.4 49.2A0/m3 -1.54 -2.24 -2.61 -1.94µ 503.1 2179 2582 2171mA 2891 1648 2815 1851mt 173.3 173.3 173.3 173.3

∆aµ 31.8 × 10−10 24.3 × 10−10 23.4 × 10−10 21.0 × 10−10

mh 123.1 124.2 124.5 125mA 2910 1658 2833 1863mH± 2911 1661 2835 1865

mχ01,2

232,420.7 211, 410 279, 535 387, 737

mχ03,4

514.2, 548 2164, 2164 2565, 2565 2159, 2161

mχ±1,2

423.5, 546.5 411, 2169 536, 2566 739, 2163

mg 1290 1171 1485 1987

muL,R1137, 1041 1066, 1059 1399, 1218 1775, 1694

mt1,21066, 1960 896, 1553 990, 1537 1364, 2067

mdL,R

1140, 1117.5 1069, 1022 1402, 1374 1777, 1703

mb1,2

1976, 2466 1532, 1892 1480, 1675 2049, 2352

mν1 244 473 328 549

meL,R319, 474 491, 218 355, 756 571, 387

mτ1,2 2195, 2546 1581, 1731 298, 1092 1029, 2054

ΩCDMh2 0.11 0.11 0.10 0.12


Conclusion

We show that in low scale supersymmety it is possible toaccommodate around 125 GeV light CP even Higgs bosonmass, satisfy the WMAP bound on neutralino dark matterabundance, captivate all experimental constraints includingmuon g-2


Muon g-2, 125 GeV Higgs and Neutralino Dark Matter in ... · massof around a TeV. Ilia Gogoladze Muon g 2, 125 GeV Higgs and Neutralino Dark Matter in Split-family SUSY [GeV] 0 m

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