Neutrino mixing and the Frobenius group T₁₃

TY - JOUR

T1 - Neutrino mixing and the Frobenius group T13

AU - Hartmann, Christine

AU - Zee, A

PY - 2011/12/1

Y1 - 2011/12/1

N2 - We show that the Frobenius group T13=Z13⋊Z3 is a suitable family symmetry group, to study neutrino oscillations. Our approach is to catalog all possibilities within an effective field theory approach, assuming only SU(2) × U(1), supplemented by family symmetry. We will use tribimaximal mixing as a guide to place a constraint on the otherwise various possibilities. This leads to an exact fit between the neutrino and charged lepton sector. Such a fit has not been achieved with any other group so far. The results of this paper may then be useful in future studies on the compatibility of this Frobenius group with other models and mechanisms.

AB - We show that the Frobenius group T13=Z13⋊Z3 is a suitable family symmetry group, to study neutrino oscillations. Our approach is to catalog all possibilities within an effective field theory approach, assuming only SU(2) × U(1), supplemented by family symmetry. We will use tribimaximal mixing as a guide to place a constraint on the otherwise various possibilities. This leads to an exact fit between the neutrino and charged lepton sector. Such a fit has not been achieved with any other group so far. The results of this paper may then be useful in future studies on the compatibility of this Frobenius group with other models and mechanisms.

U2 - 10.1016/j.nuclphysb.2011.07.023

DO - 10.1016/j.nuclphysb.2011.07.023

M3 - Journal article

SN - 0550-3213

VL - 853

SP - 105

EP - 124

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1

ER -