2 research outputs found
Renormalisation group corrections to neutrino mixing sum rules
Neutrino mixing sum rules are common to a large class of models based on the
(discrete) symmetry approach to lepton flavour. In this approach the neutrino
mixing matrix is assumed to have an underlying approximate symmetry form
\tildeU_\nu, which is dictated by, or associated with, the employed
(discrete) symmetry. In such a setup the cosine of the Dirac CP-violating phase
can be related to the three neutrino mixing angles in terms of a sum
rule which depends on the symmetry form of \tildeU_\nu. We consider five
extensively discussed possible symmetry forms of \tildeU_\nu: i)
bimaximal (BM) and ii) tri-bimaximal (TBM) forms, the forms corresponding to
iii) golden ratio type A (GRA) mixing, iv) golden ratio type B (GRB) mixing,
and v) hexagonal (HG) mixing. For each of these forms we investigate the
renormalisation group corrections to the sum rule predictions for in
the cases of neutrino Majorana mass term generated by the Weinberg (dimension
5) operator added to i) the Standard Model, and ii) the minimal SUSY extension
of the Standard Model