Geometry of the effective Majorana neutrino mass in the 0νββ decay  

作　　者：刑志忠 周也铃 

机构地区：[1]Institute of High Energy Physics,Chinese Academy of Sciences [2]Center for High Energy Physics,Peking University

出　　处：《Chinese Physics C》2015年第1期1-6,共6页中国物理C（英文版）

基　　金：Supported by National Natural Science Foundation of China(11135009)

摘　　要：The neutrinoless double-beta （0vββ） decay is a unique process used to identify the Majorana nature of massive neutrinos, and its rate depends on the size of the effective Majorana neutrino mass （m）ee- We put forward a novel ＇coupling-rod＇ diagram to describe （m）ee in the complex plane, by which the effects of the neutrino mass ordering and CP-violating phases on （m）ee are intuitively understood. We show that this geometric language allows us to easily obtain the maximum and minimum of I（m）eel. It remains usable even if there is a kind of new physics contributing to （m）ee, and it can also be extended to describe the effective Majorana masses （m）eμ, （m）eτ, （m）μμ, （m）,μτ and （m）ττ which may appear in some other lepton-number violating processes.The neutrinoless double-beta （0vββ） decay is a unique process used to identify the Majorana nature of massive neutrinos, and its rate depends on the size of the effective Majorana neutrino mass （m）ee- We put forward a novel ＇coupling-rod＇ diagram to describe （m）ee in the complex plane, by which the effects of the neutrino mass ordering and CP-violating phases on （m）ee are intuitively understood. We show that this geometric language allows us to easily obtain the maximum and minimum of I（m）eel. It remains usable even if there is a kind of new physics contributing to （m）ee, and it can also be extended to describe the effective Majorana masses （m）eμ, （m）eτ, （m）μμ, （m）,μτ and （m）ττ which may appear in some other lepton-number violating processes.

关 键 词：Majorana particles neutrino mass 0vββ decay 

分 类 号：O572.321[理学—粒子物理与原子核物理] G633.63[理学—物理]