论文标题
对中微子质量和Majoraana CP阶段的未来$0νβ$ -DECAY实验的暂定灵敏度
Tentative sensitivity of future $0νββ$-decay experiments to neutrino masses and Majorana CP phases
论文作者
论文摘要
在不久的将来，中准双β（$0νβ$）的衰减实验有望达到对有效中微子质量$ | m^{} _ {βββ} | $的敏感性。在本文中，我们暂时检查了未来$0νβ$ -DECAY实验对中微子质量和主要CP阶段的敏感性，并遵循贝叶斯统计方法。提供了与$ | M^{} _ {ββ} |的灵敏度相对应的实验设置| \ simeq 1〜 {\ rm mev} $，在正常中微子质量下订购的情况下，$0νβ$衰变的零观察会导致非常有竞争力的最轻的中微子质量$ m^{} _ 1 $。也就是说，$ 95 \％$可信的间隔被证明为$ 1.6〜 {\ rm mev} \ sillssim m^{} _ 1 \ sillsim 7.3〜 {\ rm mev} $或$ 0.3〜在$ m^{} _ 1/{\ rm ev} $或$ \ log^{} _ {10}（m^{} _ 1/{\ rm ev}）$上的统一先验。此外，严格限制了两个Majorana CP阶段之一，即$ 140^\ circ \ sillsimρ\ lyseSim 220^\ circ $ courc $ courc $均为$ m^{} _ 1 $。相反，如果$ | m^{} _ {ββ} |的灵敏度相对较差。假定\ simeq 10〜 {\ rm mev} $，相应的约束将变为0.6〜 {\ rm mev} \ lyseSim m^{} _ 1 \ sillesim 26〜 {\ rm mev} $或$ 0 \ $ 0 \ sime sim sim m^{}} $ _ 1 \ s. 1 \ sim 6.1 \ s.1 \ s.1 \ s.1 \ s.1 \ s.11阶段本质上是不受限制的。在相同的统计框架中，还讨论了在$0νβ$ -DECAY实验中确定中微子质量排序和大规模中微子之间的歧视的前景。给定$ | m^{} _ {ββ} |的实验灵敏度\ simeq 10〜 {\ rm mev} $（或$ 1〜 {\ rm mev} $），发现在$0νβ$衰减的无效观察下排除Majorana性质的证据强度是不确定的（或强），无论是在$ m^{} _ 1 $的$ M^{} _ 1 $的两个授权方面，即
In the near future, the neutrinoless double-beta ($0νββ$) decay experiments will hopefully reach the sensitivity of a few ${\rm meV}$ to the effective neutrino mass $|m^{}_{ββ}|$. In this paper, we tentatively examine the sensitivity of future $0νββ$-decay experiments to neutrino masses and Majorana CP phases by following the Bayesian statistical approach. Provided experimental setups corresponding to the sensitivity of $|m^{}_{ββ}| \simeq 1~{\rm meV}$, the null observation of $0νββ$ 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 turns out to be $1.6~{\rm meV} \lesssim m^{}_1 \lesssim 7.3~{\rm meV}$ or $0.3~{\rm meV} \lesssim m^{}_1 \lesssim 5.6~{\rm meV}$ when the uniform prior on $m^{}_1/{\rm eV}$ or on $\log^{}_{10}(m^{}_1/{\rm eV})$ is adopted. Moreover, one of two Majorana CP phases is strictly constrained, i.e., $140^\circ \lesssim ρ\lesssim 220^\circ$ for both priors of $m^{}_1$. In contrast, if a relatively worse sensitivity of $|m^{}_{ββ}| \simeq 10~{\rm meV}$ is assumed, the constraint becomes accordingly $0.6~{\rm meV} \lesssim m^{}_1 \lesssim 26~{\rm meV}$ or $0 \lesssim m^{}_1 \lesssim 6.1~{\rm meV}$, 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 $0νββ$-decay experiments are also discussed. Given the experimental sensitivity of $|m^{}_{ββ}| \simeq 10~{\rm meV}$ (or $1~{\rm meV}$), the strength of evidence to exclude the Majorana nature under the null observation of $0νββ$ decays is found to be inconclusive (or strong), no matter which of two priors on $m^{}_1$ is taken.
