Majorana neutrino masses from neutrinoless double-beta decays and lepton-number-violating meson decays
The Schechter–Valle theorem states that a positive observation of neutrinoless double-beta (0νββ) decays implies a finite Majorana mass term for neutrinos when any unlikely fine-tuning or cancellation is absent. In this note, we reexamine the quantitative impact of the Schechter–Valle theorem, and f...
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doaj-52d56336b552489185466056c5e7ce512020-11-24T23:39:41ZengElsevierPhysics Letters B0370-26931873-24452016-09-01760C57157610.1016/j.physletb.2016.07.043Majorana neutrino masses from neutrinoless double-beta decays and lepton-number-violating meson decaysJun-Hao Liu0Jue Zhang1Shun Zhou2Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, ChinaInstitute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, ChinaInstitute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, ChinaThe Schechter–Valle theorem states that a positive observation of neutrinoless double-beta (0νββ) decays implies a finite Majorana mass term for neutrinos when any unlikely fine-tuning or cancellation is absent. In this note, we reexamine the quantitative impact of the Schechter–Valle theorem, and find that current experimental lower limits on the half-lives of 0νββ-decaying nuclei have placed a restrictive upper bound on the Majorana neutrino mass |δmνee|<7.43×10−29 eV radiatively generated at the four-loop level. Furthermore, we generalize this quantitative analysis of 0νββ decays to that of the lepton-number-violating (LNV) meson decays M−→M′++ℓα−+ℓβ− (for α,β=e or μ). Given the present upper limits on these rare LNV decays, we have derived the loop-induced Majorana neutrino masses |δmνee|<9.7×10−18 eV, |δmνeμ|<1.6×10−15 eV and |δmνμμ|<1.0×10−12 eV from K−→π++e−+e−, K−→π++e−+μ− and K−→π++μ−+μ−, respectively. A partial list of radiative neutrino masses from the LNV decays of D, Ds and B mesons is also given.http://www.sciencedirect.com/science/article/pii/S0370269316303847 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Jun-Hao Liu Jue Zhang Shun Zhou |
spellingShingle |
Jun-Hao Liu Jue Zhang Shun Zhou Majorana neutrino masses from neutrinoless double-beta decays and lepton-number-violating meson decays Physics Letters B |
author_facet |
Jun-Hao Liu Jue Zhang Shun Zhou |
author_sort |
Jun-Hao Liu |
title |
Majorana neutrino masses from neutrinoless double-beta decays and lepton-number-violating meson decays |
title_short |
Majorana neutrino masses from neutrinoless double-beta decays and lepton-number-violating meson decays |
title_full |
Majorana neutrino masses from neutrinoless double-beta decays and lepton-number-violating meson decays |
title_fullStr |
Majorana neutrino masses from neutrinoless double-beta decays and lepton-number-violating meson decays |
title_full_unstemmed |
Majorana neutrino masses from neutrinoless double-beta decays and lepton-number-violating meson decays |
title_sort |
majorana neutrino masses from neutrinoless double-beta decays and lepton-number-violating meson decays |
publisher |
Elsevier |
series |
Physics Letters B |
issn |
0370-2693 1873-2445 |
publishDate |
2016-09-01 |
description |
The Schechter–Valle theorem states that a positive observation of neutrinoless double-beta (0νββ) decays implies a finite Majorana mass term for neutrinos when any unlikely fine-tuning or cancellation is absent. In this note, we reexamine the quantitative impact of the Schechter–Valle theorem, and find that current experimental lower limits on the half-lives of 0νββ-decaying nuclei have placed a restrictive upper bound on the Majorana neutrino mass |δmνee|<7.43×10−29 eV radiatively generated at the four-loop level. Furthermore, we generalize this quantitative analysis of 0νββ decays to that of the lepton-number-violating (LNV) meson decays M−→M′++ℓα−+ℓβ− (for α,β=e or μ). Given the present upper limits on these rare LNV decays, we have derived the loop-induced Majorana neutrino masses |δmνee|<9.7×10−18 eV, |δmνeμ|<1.6×10−15 eV and |δmνμμ|<1.0×10−12 eV from K−→π++e−+e−, K−→π++e−+μ− and K−→π++μ−+μ−, respectively. A partial list of radiative neutrino masses from the LNV decays of D, Ds and B mesons is also given. |
url |
http://www.sciencedirect.com/science/article/pii/S0370269316303847 |
work_keys_str_mv |
AT junhaoliu majorananeutrinomassesfromneutrinolessdoublebetadecaysandleptonnumberviolatingmesondecays AT juezhang majorananeutrinomassesfromneutrinolessdoublebetadecaysandleptonnumberviolatingmesondecays AT shunzhou majorananeutrinomassesfromneutrinolessdoublebetadecaysandleptonnumberviolatingmesondecays |
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