Probing Effective Field Theory Approach in the CP Violating Minimal Linear $\sigma$ Model
Abstract
The Minimal Linear Model is a useful theoretical laboratory. One can investigate in a perturbative renormalisable model the properties of the Higgs boson as a pseudo-Goldstone boson, the phenomenological effects of the radial mode of the field which spontaneously breaks the global symmetry and the validity of conclusions based on the Effective Field Theory approach with the field in the spectrum, after the decoupling of heavy degrees of freedom. In this paper all those issues are discussed in the framework of the Minimal Linear Model with CP violating phases leading to pseudoscalar components in the effective Standard Model Yukawa couplings. Also the character of the electroweak phase transition in the presence of the field is investigated.
Cite
@article{arxiv.2012.03990,
title = {Probing Effective Field Theory Approach in the CP Violating Minimal Linear $\sigma$ Model},
author = {J. Alonso-Gonzalez and J. M. Lizana and V. Martinez-Fernandez and L. Merlo and S. Pokorski},
journal= {arXiv preprint arXiv:2012.03990},
year = {2021}
}
Comments
32 pages, 6 figures, V2: improved discussion on the EFT treatment and on first order phase transition; references added; main results unchanged; version accepted for publication on EPJC