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arXiv 1902.07259hep-ph
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最简单的辐射狄拉克中微子质量模型

Simplest Radiative Dirac Neutrino Mass Models

Shaikh Saad

摘要:

如果中微子是狄拉克粒子,那么它们的右手伙伴一定存在于理论中。一旦引入标准模型(SM),重子数$B$和轻子数$L$之间的差异可以提升到局域$U(1)_{B-L}$对称性,因为相应的规范异常可以被右手中微子抵消。此外,如果中微子质量极小是由量子修正引起的,那么它也可以得到自然的解释。在这项工作中,我们提出了最简单的模型的辐射狄拉克中微子质量仅使用$U(1)_{B-L}$对称性,而不引入额外的费米子和不强加特设对称性。在这个简单的框架下,我们给出了狄拉克中微子质量出现在(i)单圈、(ii)双圈和(iii)三圈的极小模型.通过进行系统的分析,我们表明,最小的单循环模型需要三个超越SM标量多重态,而最小的两个循环和三个循环模型需要五个。本文提出的双圈和三圈狄拉克质量模型在文献中还没有出现过。

英文摘要:

If neutrinos are Dirac particles, their right-handed partners must be present in the theory. Once introduced in the Standard Model (SM), the difference between the baryon number $B$ and the lepton number $L$ can be promoted to a local $U(1)_{B-L}$ symmetry since the corresponding gauge anomalies can be canceled by the right-handed neutrinos. Furthermore, the extremely small neutrino mass can be explained naturally if it is originated from the quantum correction. In this work, we propose simplest models of radiative Dirac neutrino mass using only $U(1)_{B-L}$ symmetry, and without introducing additional fermions and without imposing ad hoc symmetries. In this simple framework, we provide minimal models where Dirac neutrino mass appears at the (i) one-loop, (ii) two-loop and (iii) three-loop. By performing systematic analysis, we show that the minimal one-loop model requires three beyond SM scalar multiplets, whereas minimal two-loop and three-loop models require five. The presented two-loop and three-loop Dirac mass models have not appeared in the literature before.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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