Abstract
Recently, the reactor mixing angle has been measured precisely by Daya Bay, RENO, and T2K experiments with a moderately large value. However, the standard form of neutrino mixing patterns such as bimaximal, tri-bimaximal, golden ratio of types A and B, hexagonal, etc., which are based on certain flavor symmetries, predict vanishing . Using the fact that the neutrino mixing matrix can be represented as , where Ul and result from the diagonalization of the charged lepton and neutrino mass matrices and is a diagonal matrix containing Majorana phases, we explore the possibility of accounting for the large reactor mixing angle by considering deviations both in the charged lepton and neutrino sector. In the charged lepton sector we consider the deviation as an additional rotation in the (12) and (13) planes, whereas in the neutrino sector we consider deviations to various neutrino mixing patterns through (13) and (23) rotations. We find that with the inclusion of these deviations it is possible to accommodate the observed large reactor mixing angle , and one can also obtain limits on the charge-conjugation parity-violating Dirac phase and Jarlskog invariant JCP for most of the cases. We then explore whether our findings can be tested in the currently running NuMI Off-axis ve Appearance experiment with three years of data taking in neutrino mode followed by three years with the anti-neutrino mode.
Highlights
The phenomenon of neutrino oscillation is found to be the first substantial evidence for physics beyond standard model
The recent observation of moderately large reactor mixing angle θ13 has ignited a lot of interest to understand the mixing pattern in the lepton sector
The precise determination of θ13, in addition to providing a complete picture of neutrino mixing pattern could be a signal of underlying physics responsible for lepton mixing and for the physics beyond the standard model
Summary
The phenomenon of neutrino oscillation is found to be the first substantial evidence for physics beyond standard model. This aspect has been widely studied in the literature, see for example [18, 19, 24, 26,27,28], the main difference between the previous studies and our work is, we have considered a very simple form of deviation matrix in terms of minimal number of new independent parameters, which can provide corrections to both charged lepton and the standard neutrino mixing matrices This in turn accommodates the observed mixing angles and constrains the Dirac CP violating phase δCP.
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