Regular Article - Theoretical Physics
Properties of the neutrino mixing matrix
Physics Group, CGE, Chang Gung University, Kwei-Shan, 333, Taiwan
2 Department of Physics, Purdue University, West Lafayette, IN, 47907, USA
* e-mail: firstname.lastname@example.org
Published online: 25 September 2013
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.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013