2014•arXiv (Cornell University)Open access

Constraints on light neutrino parameters derived from the study of\n neutrinoless double beta decay

Sabin Stoica, Andrei Neacsu

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Abstract

The study of the neutrinoless double beta ($0 \\beta\\beta$) decay mode can\nprovide us with important information on the neutrino properties, particularly\non the electron neutrino absolute mass. In this work we revise the present\nconstraints on the neutrino mass parameters derived from the $0 \\beta\\beta$\ndecay analysis of the experimentally interesting nuclei. We use the latest\nresults for the phase space factors (PSFs) and nuclear matrix elements (NMEs),\nas well as for the experimental lifetimes limits. For the PSFs we use values\ncomputed with an improved method reported very recently. For the NMEs we use\nvalues chosen from literature on a case-by-case basis, taking advantage of the\nconsensus reached by the community on several nuclear ingredients used in their\ncalculation. Thus, we try to restrict the range of spread of the NME values\ncalculated with different methods and, hence, to reduce the uncertainty in\nderiving limits for the Majorana neutrino mass parameter. Our results may be\nuseful to have an up-date image on the present neutrino mass sensitivities\nassociated with $0 \\beta\\beta$ measurements for different isotopes and to\nbetter estimate the range of values of the neutrino masses that can be explored\nin the future double beta decay (DBD) experiments.\n

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The study of the neutrinoless double beta ($0 \\beta\\beta$) decay mode can\nprovide us with important information on the neutrino properties, particularly\non the electron neutrino absolute mass. In this work we revise the present\nconstraints on the neutrino mass parameters derived from the $0 \\beta\\beta$\ndecay analysis of the experimentally interesting nuclei. We use the latest\nresults for the phase space factors (PSFs) and nuclear matrix elements (NMEs),\nas well as for the experimental lifetimes limits. For the PSFs we use values\ncomputed with an improved method reported very recently. For the NMEs we use\nvalues chosen from literature on a case-by-case basis, taking advantage of the\nconsensus reached by the community on several nuclear ingredients used in their\ncalculation. Thus, we try to restrict the range of spread of the NME values\ncalculated with different methods and, hence, to reduce the uncertainty in\nderiving limits for the Majorana neutrino mass parameter. Our results may be\nuseful to have an up-date image on the present neutrino mass sensitivities\nassociated with $0 \\beta\\beta$ measurements for different isotopes and to\nbetter estimate the range of values of the neutrino masses that can be explored\nin the future double beta decay (DBD) experiments.\n

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Available abstract

The study of the neutrinoless double beta ($0 \\beta\\beta$) decay mode can\nprovide us with important information on the neutrino properties, particularly\non the electron neutrino absolute mass. In this work we revise the present\nconstraints on the neutrino mass parameters derived from the $0 \\beta\\beta$\ndecay analysis of the experimentally interesting nuclei. We use the latest\nresults for the phase space factors (PSFs) and nuclear matrix elements (NMEs),\nas well as for the experimental lifetimes limits. For the PSFs we use values\ncomputed with an improved method reported very recently. For the NMEs we use\nvalues chosen from literature on a case-by-case basis, taking advantage of the\nconsensus reached by the community on several nuclear ingredients used in their\ncalculation. Thus, we try to restrict the range of spread of the NME values\ncalculated with different methods and, hence, to reduce the uncertainty in\nderiving limits for the Majorana neutrino mass parameter. Our results may be\nuseful to have an up-date image on the present neutrino mass sensitivities\nassociated with $0 \\beta\\beta$ measurements for different isotopes and to\nbetter estimate the range of values of the neutrino masses that can be explored\nin the future double beta decay (DBD) experiments.\n

Key concepts: Double beta decay, Neutrino, MAJORANA, Physics, Electron neutrino, Particle physics, BETA (programming language), Beta decay

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