1

Bhaskar Dutta

Texas A&M University

Dark Matter and neutrinos

Allahverdi, Campbell, Dutta, Phys.Rev. D85 (2012) 035004Allahverdi, Bornhauser, Dutta, Richardson-McDaniel Phys.Rev. D80 (2009) 055026Allahverdi, Dutta, Richardson-McDaniel, Santoso, Phys.Lett. B677 (2009) 172

MSSM x U(1)B-L

22

Only left-handed neutrinos have charges under SM

Under MSSM x U(1)B-L :

The new sneutrino: (inside ) can be a dark matter candidate of this model

N~

Non-zero neutrino masses are well accommodated in U(1)B-L

We have a new gauge boson: +SUSY partner'Z

W = WMSSM + l NcHuL + )(HH '2

'2

'1

ccNNfHLc contains ec and Nc Nc: Right Handed Neutrino

Fields: Q Qc L Lc QB-L : 1/6 -1/6 -1/2 1/2 1 -1

+ SUSY partners'2H

'1H

cL~

R. Allahverdi, B. Dutta,K. Richardson-Mcdaniel, Y. Santoso

Phys.Rev.D79:075005,2009

cNH ,' are MSSM singlets

MSSM x U(1)B-L and Unification

33

The gauge couplings unify => gB-L (TeV) ~ 0.4: Low scale breakingWe use the spectrum (from the previous page) :

MSSM x U(1)B-L can be unified in SO(10) GUT Dutta, Mimura, Mohapatra; Phys.Rev. D87 (2013) 075008

The unificationholds with QB-L for Higgs=3/2, -3/2 or(1, -1)

Phys.Lett.B677:172,2009

R. Allahverdi, B. Dutta,K. Richardson-Mcdaniel, Y. Santoso

The B-L symmetry is broken: between EW scale to GUT scale

MSSM x U(1)B-L and Dark Matter

44

Sneutrino annihilate into new Higgs/fermions

ff

NN

*

cc

*

N~N~ N~N~

N~N~ S-channel Z’, Higgs’

T channel Z’-ino

S-channel Z’, Higgs’

F, A: Heavy Higgs final states are also there, but are mostly kinematically suppressed

The annihilation cross-sections involving Higgs are governed by the D terms interactions involving MZ’

MSSM x U(1)B-L and ICECUBE

55

Case1: Sneutrinos annihilate to produce mostly taus, b’sAll these final states produce neutrinosIceCube

m neutrino flux from Sun m rates detection

taus, b’s produce left handed neutrino in 3 body decay processes

From Sun

MSSM x U(1)B-L and ICECUBE

66

Case 2: Sneutrinos annihilate to produce mostly Right-handed neutrinos which then decay into left handed neutrinos via Dirac coupling

mSUGRA: Hyperbolic branch/Focus point. Best case for mSUGRA at the IceCube

R. Allahverdi, S. Bornhauser, B. Dutta, K. Richardson-Mcdaniel

From Sun

7

Annihilation to Neutrinos

All-sky event rates for 150 GeV sneutrino DM scatters into 135 GeV RH neutrinos each of which decays to a light neutrino and SM Higgs

All-sky event rates for 150 GeV Neutralino DMtt (blue), WW (blue), bb (red)

Allahverdi, Campbell, Dutta

8

Majorana vs DiracCan we see the difference between Majorana – Dirac type neutrino?

Light Neutrino mass: 1) l nL <v> : Dirac type (l is very small) 2) : Majorana type (l is large, MR is 1 TeV or larger)

LHC? Any signal ? Indirect Detection? Any Signal

Also Neutrino mixing matrix introduces PMNS matrix flavor violation in the slepton sector: LHC signal? LFV In the context of mSUGRA: Allahverdi, Dutta, Kamon Krislock Phys.Rev. D86 (2012) 015026

TDR

D MMM )(1nn

9

Majorana vs Dirac

cc N~N~ NN

Dirac Case: Nc does not decay due to small l, DNeff > 0, current Planck: 0:48+0.48-0.45

Majorana case: Nc decays into n + Higgs

Higgs decays into bs, t’s: Photon signal (Fermi) and neutrino signal (IceCube)

Indirect Detection

Allahverdi, Campbell, Dutta, Gao, In preparation

10

Conclusion

Neutrino mass differences and mixing angles are well measured

Models which explain neutrino masses require new symmetry

These models can have new DM candidate, e.g., spin 0 sneutrino

The origin of neutrino mass can be distinguished indirect detection

The Lepton flavor violation arising in this model can be investigated at the LHC