Eur. Phys. J. C (2013) 73: 2579
https://doi.org/10.1140/epjc/s10052-013-2579-3

Regular Article - Theoretical Physics

Properties of the neutrino mixing matrix

¹ Physics Group, CGE, Chang Gung University, Kwei-Shan, 333, Taiwan
² Department of Physics, Purdue University, West Lafayette, IN, 47907, USA

^* e-mail: schiu@mail.cgu.edu.tw

Received: 14 July 2013
Published online: 25 September 2013

Abstract

For neutrino mixing we propose to use the parameter set X _i (=|V _ei |²) and Ω _i (=ϵ _ijk |V _μj |²|V _τk |²), with two constraints. These parameters are directly measurable since the neutrino oscillation probabilities are their quadratic functions. Physically, the set Ω _i signifies a quantitative measure of μ–τ asymmetry. Available neutrino data indicate that all the Ω _i ’s are small (<O(10⁻¹)), but with large uncertainties. The behavior of Ω _i as functions of the induced neutrino mass in matter is found to be simple, which should facilitate the analyses of long baseline experiments.