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