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

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XING Zhi-Zhong and ZHOU Ye-Ling. Geometry of the effective Majorana neutrino mass in the 0νββ decay[J]. Chinese Physics C, 2015, 39(1): 011001. doi: 10.1088/1674-1137/39/1/011001
XING Zhi-Zhong and ZHOU Ye-Ling. Geometry of the effective Majorana neutrino mass in the 0νββ decay[J]. Chinese Physics C, 2015, 39(1): 011001.  doi: 10.1088/1674-1137/39/1/011001 shu
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Received: 2014-06-03
Revised: 1900-01-01
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Geometry of the effective Majorana neutrino mass in the 0νββ decay

    Corresponding author: XING Zhi-Zhong,
    Corresponding author: ZHOU Ye-Ling,

Abstract: The neutrinoless double-beta (0νββ) 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 |<m>ee|. 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>, <m>, <m>μμ, <m>μτ and <m>ττ which may appear in some other lepton-number violating processes.

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