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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[1]

Majorana E. Nuovo Cimento, 1937, 14: 171[2] Furry W H. Phys. Rev., 1939, 15: 1184[3] Bilenky S M, Hosek J, Petcov S T. Phys. Lett. B, 1980, 94: 495; Schechter J, Valle J W F. Phys. Rev. D, 1980, 22: 2227; Doi M, Kotani T, Nishiura H, Okuda K, Takasugi E. Phys. Lett. B, 1981, 102: 323[4] Maki Z, Nakagawa M, Sakata S. Prog. Theor. Phys., 1962, 28: 870; Pontecorvo B. Sov. Phys. JETP, 1968, 26: 984[5] Beringer J et al. (Particle Data Group). Phys. Rev. D, 2012, 86: 010001[6] Rodejohann W. Int. J. Mod. Phys. E, 2011, 20: 1833[7] Klapdor-Kleingrothaus H V, Pms H, Smirnov A Yu. Phys. Rev. D, 2001, 63: 073005; Lindner M, Merle A, Rodejohann W. Phys. Rev. D, 2006, 73: 053005[8] Capozzi F, Fogli G L, Lisi E, Marrone A, Montanino D, Palazzo A. Phys. Rev. D, 2014, 89: 093018. arXiv:1312.2878[9] XING Z Z. Phys. Rev. D, 2003, 68: 053002[10] Vissani F. JHEP, 1999, 9906: 022; Rodejohann W. Nucl. Phys. B, 2001, 597: 110; Dell'oro S, Marcocci S, Vissani F. Phys. Rev. D, 2014, 90: 033005. arXiv:1404.2616[11] Albert J B et al. (EXO-200 collaboration). Nature, 2014, 510: 229-234. arXiv:1402.6956[12] Agostini M et al. (GERDA collaboration). Phys. Rev. Lett., 2013, 111: 122503[13] Ade P A R et al. (Planck collaboration). Astron. Astrophys. A, 2014, 571: 16. arXiv:1303.5076[14] Fritzsch H, XING Z Z. Phys. Rev. D, 1998, 57: 594; XING Z Z. Chin. Phys. C (HEP NP), 2012, 36: 281[15] XING Z Z. Phys. Rev. D, 2013, 87: 053019; XING Z Z, ZHOU Y L. Phys. Rev. D, 2013, 88: 033002; Merle A, Rodejohann W. Phys. Rev. D, 2006, 73: 073012[16] LI Y F, LIU S S. Phys. Lett. B, 2012, 706: 406; XING Z Z. Phys. Rev. D, 2012, 85: 013008[17] Feynman R P. The Development of the Space Time View of Quantum Electrodynamics (Nobel lecture) reprinted in Physics Today August 1966, 31

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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
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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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