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SUSYSO(10)
Tomas E. Gonzalo Velasco University College London
Tomas E. Gonzalo Velasco
SUSY SO(10)
University College London
Wednesday, 12 September 2012
Tomas E. Gonzalo Velasco University College LondonSUSY SO(10)
• SO(10)
F = 16! 16
•Matter sector
16!!
u1 u2 u3 ! uc1 uc
2 uc3 !c d1 d2 d3 e dc
1 dc2 dc
3 ec".
• Yukawa couplings
LY uk = Y16TF CLC10(!i!i + ![i!j!k]!ijk + ![i!j!k!l!m]!ijklm)16F
16! 16 = 10" 120" 126
Wednesday, 12 September 2012
Tomas E. Gonzalo Velasco University College LondonSUSY SO(10)
• Symmetry breaking
a)144 . . .
b)16! 16 . . .
c)45 . . .
d)54 . . .
Wednesday, 12 September 2012
Tomas E. Gonzalo Velasco University College LondonSUSY SO(10)
•mSUGRA
W = WMSSM ! 1MP
!16yXijkX!i!j!k +
12µXijX!i!j
"+ . . . ,
K = !!i!i +1
MP(nj
iX + n̄jiX
!)!!iP hij !
1M2
P
kijXX!!!i!j + . . . ,
fab =!ab
g2a
!1! 2
MPfaX + . . .
".
m1/2 = f!FX"MP
, m20 = (k + n)2
|!FX"|2
M2P
,
A0 = (! + 3n)!FX"MP
, B0 = (" + 2n)!FX"MP
Wednesday, 12 September 2012
Tomas E. Gonzalo Velasco University College LondonSUSY SO(10)
•SUSY SO(10) Lagrangian
LSO(10) = Lkingauge,16F ,10H ,! + Lsoft + Y16F 10H16F ! V (10H ,!)
•D-terms
LD!terms = !12g210
!1̃6
"F T a1̃6F + !"HT a!H + 10"HT a10H
"2
m216F
= (k16 + n216)
|!FX"|2
M2P
, m210H
= (k10 + n210)
|!FX"|2
M2P
m2D =
14g210V
2
Wednesday, 12 September 2012
Tomas E. Gonzalo Velasco University College LondonSUSY SO(10)
•Boundary conditions
M1 = M2 = M3 = m1/2,
Au = Ad = Ae = A0,
m2Q = m2
u = m2e = m2
16F1 + m2
D1,
m2L = m2
d = m216F
1! 3m2D1,
m2! = m2
16F1 + 5m2
D1,
m2Hd
= m210H
+ 2m2D,
m2Hu
= m210H
! 2m2D.
Wednesday, 12 September 2012
Tomas E. Gonzalo Velasco University College LondonSUSY SO(10)
•Benchmark point
O. Buchmueller et al., arXiv:1207.7315 [hep-ph]
m16F = 240 GeV,
m210H
= !6.5" 106 GeV2,
m1/2 = 970,
A0 = !1860 GeV,
tan! = 16.
Wednesday, 12 September 2012
Tomas E. Gonzalo Velasco University College LondonSUSY SO(10)
•Results
Wednesday, 12 September 2012
Tomas E. Gonzalo Velasco University College LondonSUSY SO(10)
•Results
LSP, mH , b! s!, Bs ! µ+µ!, B+ ! "+#! , aµ
Wednesday, 12 September 2012