Naumov- and Toshev-like relations in the renormalization-group evolution of quarks and Dirac neutrinos

作     者：Zhi-zhong Xing Shun Zhou 邢志忠;周顺

作者机构：Institute of High Energy PhysicsChinese Academy of SciencesBeijing 100049China School of Physical SciencesUniversity of Chinese Academy of SciencesBeijing 100049China Center for High Energy PhysicsPeking UniversityBeijing 100871China 

出 版 物：《Chinese Physics C》 (中国物理C（英文版）)

年 卷 期：2018年第42卷第10期

页      面：38-43页

核心收录：

学科分类：07[理学] 070202[理学-粒子物理与原子核物理] 0702[理学-物理学] 

基　　金：Supported by the National Natural Science Foundation of China(11775231) and (11775232) the National Youth Thousand Talents Program the CAS Center for Excellence in Particle Physics 

主　　题：fermion flavor mixing CP violation renormalization-group equations 

摘      要：In an analytical way of studying matter effects on neutrino oscillations, the Naumov and Toshev relations have been derived to respectively link the Jarlskog invariant of CP violation and the Dirac phase in the standard parametrization of the 3×3 flavor mixing matrix to their matter-corrected counterparts. Here we show that there exist similar relations for Dirac neutrinos and charged leptons evolving with energy scales via the one-loop renormalizationgroup （RG） equations in the tau-dominance approximation, and for the running behaviors of up- and down-type quarks in the top-dominance approximation, provided a different parametrization is taken into account.