Using the fact that neutrinos only participate in weak and gravitational interactions, we explore the possibility of having their masses emerged at the intersection between extended electroweak theory and theory of gravity. We describe how these two seemingly incompatible theories could be embedded in a lepton-number violating 5-dimensional Lagrangian ℒ5. A peculiar feature of this approach is its ability to generate effective Majorana neutrino masses via the spontaneous symmetry breaking (SSB) of Grand Unified Theory (GUT), GGUTMX→G(321)υEW→G(1) and 4 × 4 symmetric matrix of gravitational couplings. Within the purview of this theoretical framework, we obtain values for the effective Majorana mass Meffmass = 3.7126meV, and the Majorana neutrino masses m1 = 0.6672meV, m2 = 14.4498meV, m3 = 43.3494meV, m4 = 0meV and ∑ m = 0.0585eV. Our results are in good agreement with both experimental and cosmological data.

中文翻译：

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有效 ℒ5 拉格朗日和马约拉纳中微子质量

利用中微子只参与弱相互作用和引力相互作用的事实，我们探索了它们的质量出现在扩展电弱理论和引力理论的交叉点的可能性。我们描述了如何将这两个看似不相容的理论嵌入到违反 5 维拉格朗日的轻子数中ℒ5. 这种方法的一个特点是它能够通过大统一理论 (GUT) 的自发对称破缺 (SSB) 产生有效的马约拉纳中微子质量，G肠道米X→G(321)υ电子战→G(1)和 4 × 4引力耦合的对称矩阵。在这个理论框架的范围内，我们获得了有效马约拉纳质量的值米效果大量的 = 3.7126meV 和马约拉纳中微子质量米1 = 0.6672毫伏特，米2 = 14.4498毫伏特，米3 = 43.3494毫伏特，米4 = 0毫伏特和∑ 米 = 0.0585eV。我们的结果与实验和宇宙​​学数据非常一致。