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The leptonic CP phase is determined by an equation involving the PMNS matrix elements

High Energy Physics - Phenomenology 2017-02-21 v2 High Energy Physics - Experiment

Abstract

Several approximate equalities among the matrix elements of CKM and PMNS imply that hidden symmetries may exist and be common for both quark and neutrino sectors. The CP phase of the CKM matrix (δCKM\delta_{\rm CKM}) is involved in these equalities and can be investigated when these equalities turn into several equations. As we substitute those experimentally measured values of the three mixing angles into the equations for quarks, it is noted that one of the equations which holds exactly has a solution δCKM=68.95\delta_{\rm CKM}=68.95^\circ. That value accords with (69.13.85+2.02)(69.1^{+2.02}_{-3.85})^\circ determined from available data. Generalizing the scenario to the lepton sector, the same equality determines the leptonic CP phase δPMNS\delta_{\rm PMNS} to be 276.10 276.10^\circ. Thus we predict the value of δPMNS\delta_{\rm PMNS} from the equation. So far there is no direct measurement on δPMNS\delta_{\rm PMNS} yet, but a recent analysis based on the neutrino oscillation data prefers the phase close to 270270^\circ.

Keywords

Cite

@article{arxiv.1603.02769,
  title  = {The leptonic CP phase is determined by an equation involving the PMNS matrix elements},
  author = {Hong-Wei Ke and Jia-Hui Zhou and Xue-Qian Li},
  journal= {arXiv preprint arXiv:1603.02769},
  year   = {2017}
}

Comments

4 pages, 1 figure. Some references added