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#### Tentative sensitivity of future 0νββ-decay experiments to neutrino masses and Majorana CP phases

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##### Citation

Huang, G., & Zhou, S. (2021). Tentative sensitivity of future 0νββ-decay experiments
to neutrino masses and Majorana CP phases.* Journal of high energy physics: JHEP,* *2021*(3): 84. doi:10.1007/JHEP03(2021)084.

Cite as: https://hdl.handle.net/21.11116/0000-000A-4B00-2

##### Abstract

In the near future, the neutrinoless double-beta (0 nu beta beta) decay

experiments will hopefully reach the sensitivity of a few meV to the

effective neutrino mass |m(beta beta)|. In this paper, we tentatively

examine the sensitivity of future 0 nu beta beta -decay experiments to

neutrino masses and Majorana CP phases by following the Bayesian

statistical approach. Provided experimental setups corresponding to the

experimental sensitivity of |m(beta beta)| similar or equal to 1 meV,

the null observation of 0 nu beta beta decays in the case of normal

neutrino mass ordering leads to a very competitive bound on the lightest

neutrino mass m(1). Namely, the 95% credible interval in the Bayesian

approach turns out to be 1.6 meV less than or similar to m(1) less than

or similar to 7.3 meV or 0.3 meV less than or similar to m(1) less than

or similar to 5.6 meV when the uniform prior on m(1)/eV or on

log(10)(m(1)/eV) is adopted. Moreover, one of two Majorana CP phases is

strictly constrained, i.e., 140 degrees less than or similar to rho less

than or similar to 220 degrees for both scenarios of prior distributions

of m(1). In contrast, if a relatively worse experimental sensitivity of

|m(beta beta)| similar or equal to 10 meV is assumed, the constraint on

the lightest neutrino mass becomes accordingly 0.6 meV less than or

similar to m(1) less than or similar to 26 meV or 0 less than or similar

to m(1) less than or similar to 6.1 meV, while two Majorana CP phases

will be essentially unconstrained. In the same statistical framework,

the prospects for the determination of neutrino mass ordering and the

discrimination between Majorana and Dirac nature of massive neutrinos in

the 0 nu beta beta -decay experiments are also discussed. Given the

experimental sensitivity of |m(beta beta)| similar or equal to 10 meV

(or 1 meV), the strength of evidence to exclude the Majorana nature

under the null observation of 0 nu beta beta decays is found to be

inconclusive (or strong), no matter which of two priors on m(1) is

taken.

experiments will hopefully reach the sensitivity of a few meV to the

effective neutrino mass |m(beta beta)|. In this paper, we tentatively

examine the sensitivity of future 0 nu beta beta -decay experiments to

neutrino masses and Majorana CP phases by following the Bayesian

statistical approach. Provided experimental setups corresponding to the

experimental sensitivity of |m(beta beta)| similar or equal to 1 meV,

the null observation of 0 nu beta beta decays in the case of normal

neutrino mass ordering leads to a very competitive bound on the lightest

neutrino mass m(1). Namely, the 95% credible interval in the Bayesian

approach turns out to be 1.6 meV less than or similar to m(1) less than

or similar to 7.3 meV or 0.3 meV less than or similar to m(1) less than

or similar to 5.6 meV when the uniform prior on m(1)/eV or on

log(10)(m(1)/eV) is adopted. Moreover, one of two Majorana CP phases is

strictly constrained, i.e., 140 degrees less than or similar to rho less

than or similar to 220 degrees for both scenarios of prior distributions

of m(1). In contrast, if a relatively worse experimental sensitivity of

|m(beta beta)| similar or equal to 10 meV is assumed, the constraint on

the lightest neutrino mass becomes accordingly 0.6 meV less than or

similar to m(1) less than or similar to 26 meV or 0 less than or similar

to m(1) less than or similar to 6.1 meV, while two Majorana CP phases

will be essentially unconstrained. In the same statistical framework,

the prospects for the determination of neutrino mass ordering and the

discrimination between Majorana and Dirac nature of massive neutrinos in

the 0 nu beta beta -decay experiments are also discussed. Given the

experimental sensitivity of |m(beta beta)| similar or equal to 10 meV

(or 1 meV), the strength of evidence to exclude the Majorana nature

under the null observation of 0 nu beta beta decays is found to be

inconclusive (or strong), no matter which of two priors on m(1) is

taken.