CP and CPT violation in leptonic sector

Abstract

In this work, we estimate the CP violation and time reversal (TRV) violation for the oscillation between muon neutrino 11/. and electron neutrino lie (VI' H vel. In or· der to evaluate these observables first we find the transition probability 1'(11,. -+ lie) by using the S - matrix theory. Furthermore, to calculate the numerical values of said violations, we take the known values of parameters which appear in the rela· tions such as PMNS parameters (J. = ~~flrad, Oil = :rad, Or = go and the squared mass differences ~mil and .6.m~l are 7.6 x 1O-~e 2 and 2.4 x 1O- 3eV2, respec· tively while to see the maximum CP and Time reversal violations, the val ue of CP violation phase bcp is set to be 1f/2. For the energy E and baseline length L, we use the typical values of different experimentru setups such as IvIINOS, Mini· BooNE, Kamioka and CHOOZ. It is found that fo r both CP and Time Reversal are maximally violated at low energy limits of neutrinos and decrease with the increment in the values of neutrino energies.