Geometry of the effective Majorana neutrino mass in the 0<em>&nu;</em>&beta;&beta; decay

XING Zhi-Zhong; ZHOU Ye-Ling

doi:10.1088/1674-1137/39/1/011001

Chinese Physics C> 2015, Vol. 39> Issue(1) : 011001 DOI: 10.1088/1674-1137/39/1/011001

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

XING Zhi-Zhong ^1,2,, ,
ZHOU Ye-Ling ^1,,

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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>_eμ, <m>_eτ, <m>_μμ, <m>_μτ and <m>_ττ which may appear in some other lepton-number violating processes.

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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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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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

Corresponding author: XING Zhi-Zhong,

Corresponding author: ZHOU Ye-Ling,

Received Date: 2014-06-03

Accepted Date: 1900-01-01

Available Online: 2015-01-05

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>_eμ, <m>_eτ, <m>_μμ, <m>_μτ and <m>_ττ which may appear in some other lepton-number violating processes.

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

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

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