Effective Majorana mass and neutrinoless double beta decay

Abstract

The probability distribution for the effective Majorana mass as a function of the lightest neutrino mass in the standard three neutrino scheme is computed via a random sampling from the distributions of the involved mixing angles and squared mass differences. A flat distribution in the [0, 2π ] range for the Majorana phases is assumed, and the dependence of small values of the effective mass on the Majorana phases is highlighted. The study is then extended with the addition of the cosmological bound on the sum of the neutrino masses. Finally, the prospects for 0νββ decay search with 76 Ge, 130 Te and 136 Xe are discussed, as well as those for the measurement of the electron neutrino mass.

One-loop radiative seesaw dark matter and neutrinoless double beta decay with two zero flavor neutrino mass texture

“…[55][56][57][58] This type of matrix is called the two zero flavor neutrino mass texture. If we require a nonvanishing effective neutrino mass M ee for the neutrino less double beta decay, 59,60 only four textures are compatible with observed data in the two zero flavor neutrino mass texture scheme.…”

“…The upper limit of the magnitude of the effective neutrino mass is currently restricted to be |M ee | ≤ 0.20 − 2.5 eV; 85 however, in the future experiments, a desired sensitivity |M ee | ≃ a few 10 −2 eV will be reached. 93 Upcoming experiments for neutrinoless double beta decay and dark matter search to be useful to probe the possible linkage between M ee and M 1 .…”

Testing creation of matter with neutrinoless double beta decay

“…In particular, the latter case has smaller |m ν e ν e | but it is consistent with a U(1) selection rule. It is also possible to random-generate the values of the Majorana phases [12,13,14]. In this case, one typically expects largish values of |m ν e ν e |.…”

Another look at the impact of an eV-mass sterile neutrino on the effective neutrino mass of neutrinoless double-beta decays

“…It is suggested that | m * ee | = 1 meV may be regarded as a target value for the sensitivity of future experiments in case that NMO is verified by the forthcoming neutrino oscillation experiments [20]. This suggestion is justified by the fact that the probability for | m ee | to be lying below | m * ee | = 1 meV is tiny, given the latest neutrino oscillation data and the cosmological bound on neutrino masses [21,22,23,24,25]. For illustration, we have reproduced the three-dimensional graph of | m ee | in Fig.…”

“…(8), requiring m 123 = 0, we get two familiar conditions α 12 = σ ± π and m 12 = m 3 tan 2 θ 13 , which are the same for | m ee | = 0 for the standard case of three-flavor mixing and have been extensively discussed in Refs. [19,20,21]. Therefore, the location of the contact point in the (ρ, m 1 )-plane depends on the exact value of σ.…”