Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10724098 | Physics Letters B | 2010 | 7 Pages |
Abstract
In the flavor basis where the mass eigenstates of three charged leptons are identified with their flavor eigenstates, one may diagonalize a 3Ã3 Majorana neutrino mass matrix Mν by means of the standard parametrization of the 3Ã3 neutrino mixing matrix V. In this treatment the unphysical phases of Mν have to be carefully factored out, unless a special phase convention for neutrino fields is chosen so as to simplify Mν to MνⲠwithout any unphysical phases. We choose this special flavor basis and establish some exact analytical relations between the matrix elements of Mνâ²Mνâ²â and seven physical parameters - three neutrino masses (m1, m2, m3), three flavor mixing angles (θ12, θ13, θ23) and the Dirac CP-violating phase (δ). Such results allow us to derive the conditions for the μ-Ï flavor symmetry with θ23=Ï/4 and maximal CP violation with δ=±Ï/2, which should be useful for discussing specific neutrino mass models. In particular, we show that θ23=Ï/4 and δ=±Ï/2 keep unchanged when constant matter effects are taken into account for a long-baseline neutrino oscillation experiment.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Nuclear and High Energy Physics
Authors
Zhi-zhong Xing, Ye-Ling Zhou,