Dynamical Majorana Neutrino Masses and Axions
Abstract
We discuss dynamical mass generation for fermions and pseudoscalar fields (axion-like particles (ALP)), in the context of effective theories containing Yukawa type interactions between the fermions and ALPs. We discuss both Hermitian and non-Hermitian Yukawa interactions, which are motivated in the context of some scenarios for radiative (anomalous) Majorana sterile neutrino masses in some effective field theories. The latter contain shift-symmetry breaking Yukawa interactions between sterile neutrinos and ALPs. We show that, for a Hermitian Yukawa interaction, there is no (pseudo)scalar dynamical mass generation, but there is fermion dynamical mass generation, provided one adds a bare (pseudo)scalar mass. The situation is opposite for an anti-Hermitian Yukawa model: there is (pseudo)scalar dynamical mass generation, but no fermion dynamical mass generation.In the presence of additional attractive four-fermion interactions, dynamical fermion mass generation can occur in these models, under appropriate conditions and range of their couplings.
Keywords
Cite
@article{arxiv.2004.04611,
title = {Dynamical Majorana Neutrino Masses and Axions},
author = {Jean Alexandre and Nick E. Mavromatos and Alex Soto},
journal= {arXiv preprint arXiv:2004.04611},
year = {2020}
}
Comments
24 pages revtex, one eps figure incorporated; section IIIC contains material related to arXiv:2004.03699 [hep-ph]. Minor restructuring on sections, with section II added. Also discussion added, along with Figure 2 and ref. [25], on resummation of four-fermion loops, which justifies our approximations. Minor typos corrected. No effects on conclusions. Version to be published in Nuclear Physics B