The QCD Axion and Electroweak Vacuum Stability

J. McDonald

The QCD Axion and Electroweak Vacuum Stability

High Energy Physics - Phenomenology 2017-05-05 v2

Authors: J. McDonald

Abstract

The complex field $\Phi$ containing the QCD axion has a natural portal coupling to the Higgs doublet of the form $\lambda_{h \phi}|\Phi|^2 |H|^2$ . Here we consider the possibility that $\lambda_{h \phi}$ has a natural magnitude for a dimensionless coupling, $\lambda_{h \phi} \sim 0.1-1$ . This is possible if the total mass squared parameter of the Higgs in the vacuum, including quadratic divergent and the $\Phi$ vacuum expectation value contributions, is renormalized to reproduce the observed Higgs boson mass. It is then possible for the axion sector to stabilize the electroweak vacuum. We show the requirement of electroweak vacuum stability implies that the axion decay constant satisfies $f_{a} < 1.3 \times 10^{10}$ GeV.

Keywords

gauge-higgs unification axion dark matter quantum chromodynamics

Cite

@article{arxiv.1703.04839,
  title  = {The QCD Axion and Electroweak Vacuum Stability},
  author = {J. McDonald},
  journal= {arXiv preprint arXiv:1703.04839},
  year   = {2017}
}

Comments

5 pages, 3 figures. Our discussion omits the dominant tree-level shift (discussed in 1203.0237) of the Higgs quartic coupling in the full theory relative to the Higgs quartic coupling of the low-energy effective Standard Model. This shift can easily the electroweak vacuum. Therefore our conclusions (and upper bound on $f_a$) are invalid

The QCD Axion and Electroweak Vacuum Stability

Abstract

Keywords

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