Matter neutrino oscillations, an approximation in a parametrization-free framework

30th Annual Meeting of the Division of Particles and Fields (DPyC) of the Mexican Physical Society

Flores, L.J.^1 ; Miranda, O.G.^1

Departamento de Fisica, Centro de Investigación y de Estudios Avanzados Del IPN, Apdo. Postal 14-740, Mexico, DF

07000, Mexico^1

关键词: Constant density;    Mixing matrix;    Neutrino oscillations;    Parametrizations;    Solar neutrino problem;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/761/1/012041/pdf
DOI  :  10.1088/1742-6596/761/1/012041

来源: IOP

【 摘 要 】

Neutrino oscillations are one of the most studied and successful phenomena since the establishment of the solar neutrino problem in late 1960's. In this work we discuss the exact expressions for the probability Pαβ in a constant density medium, in terms of the standard vacuum parameters and the medium density. Besides of being compact, these expressions are independent of any particular parametrization, which could be helpful in the application of unitary tests of the mixing matrix. In addition, we introduce a new approximation on Pαβ and compare it with the most commonly used, discussing their main differences.