Naturally small neutrino mass with asymptotic safety and gravitational-wave signatures
arXiv:2308.06114 · doi:10.1007/JHEP11(2023)224
Abstract
We revisit the dynamical generation of an arbitrarily small neutrino Yukawa coupling in the Standard Model with trans-Planckian asymptotic safety and apply the same mechanism to the gauged model. We show that thanks to the presence of additional irrelevant couplings, the described neutrino-mass generation in the model is potentially more in line with existing theoretical calculations in quantum gravity. Interestingly, the model can accommodate, in full naturalness and without extensions, the possibility of purely Dirac, pseudo-Dirac, and Majorana neutrinos with any see-saw scale. We investigate eventual distinctive signatures of these cases in the detection of gravitational waves from first-order phase transitions. We find that, while it is easy to produce a signal observable in new-generation interferometers, its discriminating features are washed out by the strong dependence of the gravitational-wave spectrum on the relevant parameters of the scalar potential.
arXiv comment39 pages, 5 figures, 2 tables. References added, typos corrected, matches the published version
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