https://doi.org/10.1140/epjc/s10052-016-4300-9
Regular Article - Theoretical Physics
Global flow of the Higgs potential in a Yukawa model
1
Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743, Jena, Germany
2
Abbe Center of Photonics, Friedrich Schiller University Jena, Max Wien Platz 1, 07743, Jena, Germany
3
Helmholtz-Institut Jena, Fröbelstieg 3, 07743, Jena, Germany
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Received:
5
April
2016
Accepted:
1
August
2016
Published online:
23
August
2016
Abstract
We study the renormalization flow of the Higgs potential as a function of both field amplitude and energy scale. This overcomes limitations of conventional techniques that rely, e.g., on an identification of field amplitude and RG scale, or on local field expansions. Using a Higgs–Yukawa model with discrete chiral symmetry as an example, our global flows in field space clarify the origin of possible metastabilities, the fate of the pseudo-stable phase, and provide new information as regards the renormalization of the tunnel barrier. Our results confirm the relaxation of the lower bound for the Higgs mass in the presence of more general microscopic interactions (higher-dimensional operators) to a high quantitative accuracy.
© The Author(s), 2016
