Ústav technické a experimentální fyziky Institute of Experimental and Applied Physics

Interpolating formula for the 0 nu beta beta-decay half-life in the case of light and heavy neutrino mass mechanisms

NázevTitle
Interpolating formula for the 0 nu beta beta-decay half-life in the case of light and heavy neutrino mass mechanismsInterpolating formula for the 0 nu beta beta-decay half-life in the case of light and heavy neutrino mass mechanisms
Druh výsledkuResult type
Článek v časopiseJournal article
AutořiAuthors
A. Babič, S. Kovalenko, M. I. Krivoruchenko, F. Šimkovic
DOIDOI
10.1103/PhysRevD.98.015003
Časopis / citaceJournal / citation
PHYSICAL REVIEW D. 2018, 98(1), ISSN 2470-0010.
RokYear
2018
JazykLanguage
eng
WoSWoS
000437112700005
ScopusScopus
2-s2.0-85051023914
RIVRIV
RIV/68407700:21340/18:00325920!RIV19-MSM-21340___
ProjektProject
Technologie potlačení pozadí, detektorové techniky v jaderné fyzice a jejich aplikaceTechnologies of background suppression, detection techniques in nuclear physics and their applications; Podzemní laboratoř LSM - česká účast ve výzkumné infrastruktuře evropského významuUnderground laboratory LSM - Czech participation to European-level research infrastructure

AbstraktAbstract

We revisit the "interpolating formula" proposed in our previous publication. It allows one to calculate the 0 nu beta beta-decay half-life for arbitrary neutrino mass without the involvement of the complicated results for nuclear matrix elements (NMEs) obtained within specific nuclear structure models. The formula derives from the finding that the value of a properly normalized ratio of the NMEs for the light and heavy neutrino mass mechanisms weakly depends on the isotope. From this fact, it follows, in particular, that the light and heavy neutrino mass mechanisms can hardly be distinguished in a model-independent way searching for 0 nu beta beta decay of different nuclei. Here, we show that this formula holds for all the known nuclear structure approaches. We give a mathematical justification of our results examining analytical properties of the NMEs. We also consider several simplified benchmark scenarios within left-right symmetric models and analyze the conditions for the dominance of the light or heavy neutrino mass mechanisms in 0 nu beta beta decay.

We revisit the "interpolating formula" proposed in our previous publication. It allows one to calculate the 0 nu beta beta-decay half-life for arbitrary neutrino mass without the involvement of the complicated results for nuclear matrix elements (NMEs) obtained within specific nuclear structure models. The formula derives from the finding that the value of a properly normalized ratio of the NMEs for the light and heavy neutrino mass mechanisms weakly depends on the isotope. From this fact, it follows, in particular, that the light and heavy neutrino mass mechanisms can hardly be distinguished in a model-independent way searching for 0 nu beta beta decay of different nuclei. Here, we show that this formula holds for all the known nuclear structure approaches. We give a mathematical justification of our results examining analytical properties of the NMEs. We also consider several simplified benchmark scenarios within left-right symmetric models and analyze the conditions for the dominance of the light or heavy neutrino mass mechanisms in 0 nu beta beta decay.