Abstract
In the light of recent experimental results on θ pmns13 , we re-investigate the complementarity between the quark and lepton mixing matrices and obtain predictions for most unsettled neutrino mixing parameters like θ pmns23 and CP violating phase invariants J, S 1 and S 2. This paper is motivated by our previous work where in a QLC model we predicted the value for θ pmns13 = (9 + 1− 2 )°, which was found to be in strong agreement with the experimental results. In the QLC model the non-trivial correlation between CKM and PMNS mixing matrices is given by a correlation matrix (V c ). We do numerical simulation and estimate the texture of the V c and in our findings we get a small deviation from the Tri-Bi-Maximal (TBM) texture and a large from the Bi-Maximal one, which is consistent with the work already reported in literature. In the further investigation we obtain quite constrained limits for sin2 θ pmns23 = 0. 4235 + 0.0032– 0.0043 that is narrower to the existing ones. We also obtain the constrained limits for the three CP violating phase invariants J , S 1 and S 2:as J < 0.0315, S 1 < 0.12 and S 2 < 0.08, respectively.
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Sharma, G., Chauhan, B. Quark-lepton complementarity predictions for θ pmns23 and CP violation. J. High Energ. Phys. 2016, 75 (2016). https://doi.org/10.1007/JHEP07(2016)075
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DOI: https://doi.org/10.1007/JHEP07(2016)075