muon g-2, 125 gev higgs and neutralino dark matter in ... · massof around a tev. ilia gogoladze...
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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
Ilia Gogoladze Muon g − 2, 125 GeV Higgs and Neutralino Dark Matter in Split-family SUSY
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)
Ilia Gogoladze Muon g − 2, 125 GeV Higgs and Neutralino Dark Matter in Split-family SUSY
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
Ilia Gogoladze Muon g − 2, 125 GeV Higgs and Neutralino Dark Matter in Split-family SUSY
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.
Ilia Gogoladze Muon g − 2, 125 GeV Higgs and Neutralino Dark Matter in Split-family SUSY
[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)
Ilia Gogoladze Muon g − 2, 125 GeV Higgs and Neutralino Dark Matter in Split-family SUSY
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
Ilia Gogoladze Muon g − 2, 125 GeV Higgs and Neutralino Dark Matter in Split-family SUSY
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)
Ilia Gogoladze Muon g − 2, 125 GeV Higgs and Neutralino Dark Matter in Split-family SUSY
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].
Ilia Gogoladze Muon g − 2, 125 GeV Higgs and Neutralino Dark Matter in Split-family SUSY
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
Ilia Gogoladze Muon g − 2, 125 GeV Higgs and Neutralino Dark Matter in Split-family SUSY
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)
Ilia Gogoladze Muon g − 2, 125 GeV Higgs and Neutralino Dark Matter in Split-family SUSY
Yellow represent ∆aµ in 1σ deviation. Green satisfy allcollider constraints. Brown satisfy the WMAP bound.
Ilia Gogoladze Muon g − 2, 125 GeV Higgs and Neutralino Dark Matter in Split-family SUSY
Yellow represent ∆aµ in 1σ deviation. Green satisfy all colliderconstraints. Brown satisfy the WMAP bound.
Ilia Gogoladze Muon g − 2, 125 GeV Higgs and Neutralino Dark Matter in Split-family SUSY
Yellow represent ∆aµ in 1σ deviation. Green satisfy all collider
constraints. Brown satisfy the WMAP bound.
Ilia Gogoladze Muon g − 2, 125 GeV Higgs and Neutralino Dark Matter in Split-family SUSY
Yellow represent ∆aµ in 1σ deviation. Green satisfy all colliderconstraints. Brown satisfy the WMAP bound.
Ilia Gogoladze Muon g − 2, 125 GeV Higgs and Neutralino Dark Matter in Split-family SUSY
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
Ilia Gogoladze Muon g − 2, 125 GeV Higgs and Neutralino Dark Matter in Split-family SUSY
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
Ilia Gogoladze Muon g − 2, 125 GeV Higgs and Neutralino Dark Matter in Split-family SUSY