Radiative corrections to neutrino mass matrix in the Standard Model and beyond

الأصل · EN

We study the effect of radiative corrections on the structure of neutrino mass matrix. We analyze the renormalization of the matrix from the electroweak scale mZ to the scale m₀ at which the effective operator that gives masses to neutrinos is generated. Apart from Standard Model and MSSM, non-standard extensions of SM are considered at a scale mₓ intermediate between mZ and m₀. We find that the dominant structure of the neutrino mass matrix does not change. SM and MSSM corrections produce small (few percents) independent renormalization of each matrix element. Non-standard (flavor changing) corrections can modify strongly small (sub-dominant) matrix elements, which are important for the low energy phenomenology. In particular, we show that all sub-dominant elements can have purely radiative origin, being zero at m₀. The set of non-zero elements at m₀ can be formed by (i) diagonal elements (unit matrix); (ii) Mee and Mμτ; (iii)Mee and μτ-block elements; (iv) μτ-block elements. In the case of unit matrix, both atmospheric and solar mixing angles and mass squared differences are generated radiatively.