Title

Physical region for three-neutrino mixing angles

Document Type

Article

Publication Date

2005

Publication Title

Physical Review D

Department

Physics

Abstract

We derive a set of symmetry relations for the three-neutrino mixing angles, including the Mikheyev-Smirnov-Wolfenstein (MSW) matter effect. Though interesting in their own right, these relations are used to choose the physical region of the mixing angles such that oscillations are parametrized completely and uniquely. We propose that the preferred way of setting the bounds on the mixing angles should be ?12?[0,?/2], ?13?[??/2,?/2], ?23?[0,?/2], and ??[0,?). No CP violation then results simply from setting ?=0. In the presence of the MSW effect, this choice of bounds is a new result. Since the size of the asymmetry about ?13=0 is dependent on the details of the data analysis and is a part of the results of the analysis, we argue that the negative values of ?13 should not be ignored.

ISSN

1550-7998