论文标题

进一步的dirac中微子限制

Further swampland constraint on Dirac Neutrino

论文作者

Harada, Taiga, Nakayama, Yu

论文摘要

关于赃物猜想的最新研究(例如,非任务广告猜想或ADS距离猜想)预测,(最轻的)中微子必须是狄拉克,并且质量必须是宇宙学上的$ m <cλ^{1/4} _ {\ cc} _ {\ text {cc}}}} \ sim 10 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ fext {mev} $。 Dirac Neutrino自然伴随$ u(1)$对称性,可以嵌入无异常的$ u(1)_ {b-l} $标准模型的全局对称性。我们指出,使用$ u(1)$对称扭曲导致进一步限制的swampland猜想适用于圆圈压实。特别是,必须将$ u(1)$对称性分解为$ \ mathbb {z} _4 $,$ \ mathbb {z} _8 $或$ \ mathbb {z} _ {10} $在正常状态的情况下,以及$ \ mathbb {z} _4 $ nirancart的nirancart,nirancarch量子重力中的对称性。我们还预测,每种情况下中微子质量的上微子质量的上微子上微子更受限。

Recent studies on swampland conjectures (e.g. non-SUSY AdS conjecture or AdS distance conjecture) predict that the (lightest) neutrino must be Dirac and the mass must be cosmologically small $m < c Λ^{1/4}_{\text{cc}}\sim 10 \ \text{meV}$. The Dirac neutrino naturally accompanies a $U(1)$ symmetry that can be embedded in the anomaly-free $U(1)_{B-L}$ global symmetry of the standard model. We point out that the swampland conjectures applied to a circle compactification with the $U(1)$ symmetry twisting lead to further constraints. In particular, the $U(1)$ symmetry must be broken down to $\mathbb{Z}_4$,$\mathbb{Z}_8$ or $\mathbb{Z}_{10}$ in the case of normal hierarchy, and $\mathbb{Z}_4$ in the case of inverted hierarchy, providing evidence for the absence of continuous global symmetry in quantum gravity. We also predict a more constrained upper bound of the neutrino mass for each case.

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