Energy-scale dependence of the lepton flavor-mixing matrix

Abstract

We study an energy-scale dependence of the lepton-flavor-mixing matrix in the minimal supersymmetric standard model with the effective dimension-five operators which give the masses of neutrinos. We analyze the renormalization group equations of κ ij s which are coefficients of these effective operators under the approximation to neglect the corrections of O(κ 2 ). As a consequence, we find that all phases in κ do not depend on the energy-scale, and that only n g − 1 (n g : generation number) real independent parameters in the lepton-flavor-mixing matrix depend on the energyscale.

Can heavy neutrinos dominate neutrinoless double beta decay?

“…We have performed the computation in the basis in which the neutrino mass matrix takes the form given by Eq. (8), in such a way that the one-loop running equations [44][45][46] for these parameters can be directly obtained:…”

Non-vanishing Ue3 and cos2θ23 from a broken Grimus1, Joshipura2, Kaneko3 et al. 2005Nuclear Physics B1261690View full textAdd to dashboardCite

“…This breaking would radiatively induce non-zero U e3 and cos 2θ 23 [30]. This can be calculated by using the renormalization group equations (RGEs) of the effective neutrino mass operator [31,32,33]. These equations depend upon the detailed structure of the model below M X .…”

“…Integration of the RGEs allows us [31,32,33] to relate the neutrino mass matrix M νf (M X ) to the corresponding matrix at the low scale which we identify here with the Z mass M Z :…”

Flavor physics of leptons and dipole moments

“…-The mixing angles are comparatively stable with respect to the RG running in the case of normal hierarchical neutrino mass spectrum, m 1 m 2 m 3 even when tan is large [251][252][253][254][255][256][257] [257]. This constrains the models which predict the value of solar neutrino mixing angle at M R , 12 (M R ) > 12 (M Z ).…”