Renormalization Group Running of Neutrino Parameters

Abstract

The concept and techniques of renormalization group running have been extensively applied to study critical phenomena (e.g., phase transitions in condensed matter physics) and fundamental interactions (e.g., asymptotic freedom of quantum chromodynamics in particle physics) in Nature. In this review, we present a comprehensive and compact overview on recent development in the applications of renormalization group approach to neutrino physics. The generic features of renormalzation-group running of lepton masses, flavor mixing angles and CP-violating phases, which bridges up the gap between theoretical predictions and experimental measurements, are highlighted. In particular, we report on the evolution of the leptonic mixing angles from the experimental low-energy scale to a theoretically chosen superhigh-energy scale in various models such as the Standard Model, the Minimal Supersymmetric Standard Model, and extra-dimensional models.