Physical region for three-neutrino mixing angles
Physical Review D
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.
D. C. Latimer and D. J. Ernst, "Physical Region for Three-Neutrino Mixing Angles." Physical Review. D, Particles Fields. 71.1 (2005). Print.