English

An underlying symmetry determines all elements of CKM and PMNS up to a universal constant?

High Energy Physics - Phenomenology 2015-12-09 v2 High Energy Physics - Experiment

Abstract

Observing the CKM matrix elements written in different parametrization schemes, one can notice obvious relations among the sine-values of the CP phases in those schemes. Using the relations, we establish a few parametrization-independent equations, by which the matrix elements of the CKM matrix can be completely fixed up to a universal parameter. If it is true, we expect that there should exist a hidden symmetry in the nature which determines the relations. Moreover, it requires a universal parameter, naturally it would be the famous Jarlskog invariant which is also parametrization independent. Thus the four parameters (three mixing angles and one CP phase) of the CKM matrix are not free, but determined by the symmetry and the universal parameter. As we generalize the rules to the PMNS matrix for neutrino mixing, the CP phase of the lepton sector is predicted to be within a range of 0590\sim 59^\circ centered at 3939^\circ (in the Pa_a parametrization) which will be tested in the future experiments.

Keywords

Cite

@article{arxiv.1412.0116,
  title  = {An underlying symmetry determines all elements of CKM and PMNS up to a universal constant?},
  author = {Hong-Wei Ke and Xue-Qian Li},
  journal= {arXiv preprint arXiv:1412.0116},
  year   = {2015}
}

Comments

11 pages, 2 figures and 3 tables. Accepted by Communications in Theoretical Physics