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

2002/12/31 by Michele Frigerio, Alexei Yu. Smirnov
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.1088/1126-6708/2003/02/004

published as JHEP 0302 (2003) 004 · 22 pages, 5 eps figures, JHEP3.cls, some clarifications and one reference added

openalex publication_date 2003/02/03 · arxiv created 2003/02/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 m_Z 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 m_X intermediate between m_Z 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) M_ee and M_μτ; (iii)M_ee 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.

Citations

• Super-Kamiokande atmospheric neutrino results
• Exploring the neutrino mass matrix at theMRscale
• Can radiative magnification of mixing angles occur for two-zero neutrino mass matrix textures?
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• Can neutrinos be degenerate in mass?
• Measurement of Day and Night Neutrino Energy Spectra at SNO and Constraints on Neutrino Mixing Parameters
• Renormalization of the neutrino mass operator
• New Supersymmetric Source of Neutrino Masses and Mixings
• Neutrino masses in SU(2) ⊗ U(1) theories
• Zeroes of the neutrino mass matrix
• Nearly degenerate neutrinos, supersymmetry and radiative corrections
• Measurement of the rate of nu_e + d --> p + p + e^- interactions produced by 8B solar neutrinos at the Sudbury Neutrino Observatory