English

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

High Energy Physics - Phenomenology 2009-11-07 v2

Abstract

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 mZm_Z to the scale m0m_0 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 mXm_X intermediate between mZm_Z and m0m_0. 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 m0m_0. The set of non-zero elements at m0m_0 can be formed by (i) diagonal elements (unit matrix); (ii) MeeM_{ee} and MμτM_{\mu\tau}; (iii)MeeM_{ee} and μτ\mu\tau-block elements; (iv) μτ\mu\tau-block elements. In the case of unit matrix, both atmospheric and solar mixing angles and mass squared differences are generated radiatively.

Keywords

Cite

@article{arxiv.hep-ph/0212263,
  title  = {Radiative corrections to neutrino mass matrix in the Standard Model and beyond},
  author = {Michele Frigerio and Alexei Yu. Smirnov},
  journal= {arXiv preprint arXiv:hep-ph/0212263},
  year   = {2009}
}

Comments

22 pages, 5 eps figures, JHEP3.cls, some clarifications and one reference added