Eur. Phys. J. C (2015) 75: 619
https://doi.org/10.1140/epjc/s10052-015-3805-y

Regular Article - Theoretical Physics

Unifying CP violations of quark and lepton sectors

¹ Department of Physics, Kyung Hee University, 26 Gyungheedaero, Dongdaemun-Gu, Seoul, 02447, Republic of Korea
² Center for Axion and Precision Physics Research (IBS), 291 Daehakro, Yuseong-Gu, Taejon, 34141, Republic of Korea
³ Department of Physics, Seoul National University, 1 Gwanakro, Gwanak-Gu, Seoul, 08826, Republic of Korea

^* e-mail: jihnekim@gmail.com

Received: 25 August 2015
Accepted: 23 November 2015
Published online: 8 January 2016

Abstract

A preliminary determination of the Dirac phase in the PMNS matrix is . A rather accurately determined Jarlskog invariant J in the CKM matrix is close to the maximum. Since the phases in the CKM and PMNS matrices will be accurately determined in the future, it is an interesting problem to relate these two phases. This can be achieved in a families-unified grand unification if the weak CP violation is introduced spontaneously à la Froggatt and Nielsen at a high energy scale, where only one meaningful Dirac CP phase appears.