Eur. Phys. J. C (2011) 71: 1598
https://doi.org/10.1140/epjc/s10052-011-1598-1

Regular Article - Theoretical Physics

Spontaneous CP violating phase as the phase in PMNS matrix

¹ INPAC, Department of Physics, Shanghai Jiao Tong University, Shanghai, P.R. China
² Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei, Taiwan

^* e-mail: d98222002@ntu.edu.tw

Received: 24 December 2010
Revised: 23 February 2011
Published online: 17 March 2011

Abstract

We study the possibility of identifying the CP violating phases in the PMNS mixing matrix in the lepton sector and also that in the CKM mixing matrix in the quark sector with the phase responsible for the spontaneous CP violation in the Higgs potential, and some implications. Since the phase in the CKM mixing matrix is determined by experimental data, the phase in the lepton sector is also fixed. The mass matrix for neutrinos is constrained, leading to constraints on the Jarlskog CP violating parameter J, and the effective mass 〈m _ββ 〉 for neutrinoless double beta decay. The Yukawa couplings are also constrained. Different ways of identifying the phases have different predictions for and . Future experimental data can be used to distinguish different models.