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,,

Abstract
HTML
Reference
Related

PDF

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.

References

[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

[1]	Jun-Gang Deng , Jie-Cheng Zhao , Jiu-Long Chen , Xi-Jun Wu , Xiao-Hua Li . α decay properties of ²⁹⁶Og within the two-potential approach. Chinese Physics C, 2018, 42(4): 044102. doi: 10.1088/1674-1137/42/4/044102
[2]	Jing Zhang , De-Jun E , Hong-Fei Zhang . Effects of shell correction on α decay properties. Chinese Physics C, 2018, 42(9): 094101. doi: 10.1088/1674-1137/42/9/094101
[3]	Jun-Gang Deng , Jun-Hao Cheng , Bo Zheng , Xiao-Hua Li . α decay properties of ²⁹⁷Og within the two-potential approach. Chinese Physics C, 2017, 41(12): 124109. doi: 10.1088/1674-1137/41/12/124109
[4]	Wenjin Tan , Dongdong Ni , Zhongzhou Ren . Calculations of the β-decay half-lives of neutron-deficient nuclei. Chinese Physics C, 2017, 41(5): 054103. doi: 10.1088/1674-1137/41/5/054103
[5]	Jie Zhao , Liang-Jian Wen , Yi-Fang Wang , Jun Cao . Physics potential of searching for 0vββ decays in JUNO. Chinese Physics C, 2017, 41(5): 053001. doi: 10.1088/1674-1137/41/5/053001
[6]	Ji-Feng Chen , Ke-Zhu Song , Jia-Cheng Liu . Dedicated 4πβ (LS)-γ (HPGe) digital coincidence system based on synchronous high-speed multichannel data acquisition. Chinese Physics C, 2016, 40(3): 036101. doi: 10.1088/1674-1137/40/3/036101
[7]	Yong Zhang , Jun-Xia Wu , Guang-Yu Zhu , Huan Jia , Zong-Heng Xue , Hai Zheng , Hong-Ming Xie , Xin-Cai Kang , Yuan He , Lin Li , Jean Claude Denard . Capacitive beam position monitors for the low-β beam of the Chinese ADS proton linac. Chinese Physics C, 2016, 40(2): 027003. doi: 10.1088/1674-1137/40/2/027003
[8]	Liangjian Wen , Shenghu Zhang , Yongming Li , Ruoxu Wang , Hao Guo , Cong Zhang , Huan Jia , Tiancai Jiang , Chunlong Li , Yuan He . Study of medium beta elliptical cavities for CADS. Chinese Physics C, 2016, 40(2): 027004. doi: 10.1088/1674-1137/40/2/027004
[9]	LIN Ye , FANG Fang , REN Jia-Fu , HE Lin-Feng , TANG Fang-Dong , XU Yi-He , DING Wei-Cheng . A measurement system for alpha and beta surface emissionrate using MWPC. Chinese Physics C, 2015, 39(5): 056001. doi: 10.1088/1674-1137/39/5/056001
[10]	HE Shou-Bo , ZHANG Cong , YUE Wei-Ming , WANG Ruo-Xu , XU Meng-Xin , WANG Zhi-Jun , HUANG Shi-Chun , HUANG Yu-Lu , JIANG Tian-Cai , WANG Feng-Feng , ZHANG Sheng-Xue , HE Yuan , ZHANG Sheng-Hu , ZHAO Hong-Wei . Mechanical design and analysis of a low beta squeezedhalf-wave resonator. Chinese Physics C, 2014, 38(8): 087005. doi: 10.1088/1674-1137/38/8/087005
[11]	HENG Zong-Qiang , SHU Liang-Ping , MENG Ying , HU Ji-Gang , QIAN Jian-Fa . Competition between α-decay and β-decay for heavy andsuperheavy nuclei. Chinese Physics C, 2014, 38(12): 124101. doi: 10.1088/1674-1137/38/12/124101
[12]	LIU Zhen-Chao , GAO Jie , LI Zhong-Quan , ZHAI Ji-Yuan , ZHAO Tong-Xian , LI Da-Zhang , LIU Yi-Lin , SUN Yi . ADS 650 MHz medium beta cavity study and design. Chinese Physics C, 2013, 37(1): 017005. doi: 10.1088/1674-1137/37/1/017005
[13]	XU Bo , LI Han , ZHANG Juan , SHA Peng , WANG Qun-Yao , LIN Hai-Ying , HUANG Hong , DAI Jian-Ping , SUN Yi , WANG Guang-Wei , PAN Wei-Min . Low beta spoke cavity multipacting analysis. Chinese Physics C, 2013, 37(12): 127003. doi: 10.1088/1674-1137/37/12/127003
[14]	LI Han , SHA Peng , DAI Jian-Ping , HUANG Hong , WANG Qun-Yao . Design study on very low Beta spoke cavityfor China-ADS. Chinese Physics C, 2012, 36(8): 761-764. doi: 10.1088/1674-1137/36/8/014
[15]	LIU Jing-Jing . Beta decay of nuclide ⁵⁶Fe, ⁵⁶Co, ⁵⁶Ni, ⁵⁶Mn, ⁵⁶Cr and ⁵⁶V due to strong electron screening in stellar interiors. Chinese Physics C, 2010, 34(11): 1700-1703. doi: 10.1088/1674-1137/34/11/006
[16]	CHEN Guang-Ling , TIAN Shun-Qiang , JIANG Bo-Cheng , LIU Gui-Min . A GUI tool for beta function measurement using MATLAB. Chinese Physics C, 2009, 33(4): 297-300. doi: 10.1088/1674-1137/33/4/012
[17]	Xu Xiaoji , Huang Wenxue , Ma Ruichang , Gu Zhongdao , Yang Yongfeng , Wang Yanyu , Dong Chengfu . Observation of Beta-Delayed Proton Decay of⁶⁹Kr. Chinese Physics C, 1997, 21(S1): 443-446.
[18]	Xu Shuwei , Liu Manqing . Energy Calibration for a Plastic Scintillator Beta-Detector Telescope. Chinese Physics C, 1990, 14(S1): 101-104.
[19]	YAN Chen , ZHAO Yu-Min , SUN Han-Cheng , YANG Chang-Gen , TANG Xiao-Wei . THE STUDY OF AN ELECTROSTATIC SPHERICAL GRID RETARDING SPECTROMETER FOR THE STUDY OF NEUTRINO REST MASS BY MEASURING BETA SPECTRUM FROM TRITIUM DECAY. Chinese Physics C, 1988, 12(6): 721-725.
[20]	XU Shu-Wei , . BETA STRENGTH FUNCTION OF ¹⁰⁰Sr-DECAY EXTRACTED FROM BETA SPECTRUM. Chinese Physics C, 1986, 10(4): 466-473.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2014-06-03
Revised: 1900-01-01

Article Metric

Article Views(1993)
PDF Downloads(516)
Cited by(0)

Policy on re-use

To reuse of Open Access content published by CPC, for content published under the terms of the Creative Commons Attribution 3.0 license (“CC CY”), the users don’t need to request permission to copy, distribute and display the final published version of the article and to create derivative works, subject to appropriate attribution.

通讯作者: 陈斌, bchen63@163.com

1.
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.

HTML

Reference (1)

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

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

Corresponding author: XING Zhi-Zhong,

Corresponding author: ZHOU Ye-Ling,

HTML

目录