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Higgs mass bounds from renormalization flow for a simple Yukawa model

Holger Gies1,*, Clemens Gneiting2,†, and René Sondenheimer1,‡

  • 1Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, D-07743 Jena, Germany
  • 2Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Straße 3, D-79104 Freiburg, Germany

  • *holger.gies@uni-jena.de
  • †clemens.gneiting@physik.uni-freiburg.de
  • ‡rene.sondenheimer@uni-jena.de
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Phys. Rev. D 89, 045012 – Published 19 February, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.045012

Abstract

We study the functional renormalization group flow of a Higgs-Yukawa toy model mimicking the top-Higgs sector of the standard model. This approach allows for treating arbitrary bare couplings. For the class of standard bare potentials of ϕ4 type at a given ultraviolet cutoff, we show that a finite infrared Higgs mass range emerges naturally from the renormalization group flow itself. Higgs masses outside the resulting bounds cannot be connected to any conceivable set of bare parameters in this standard model ϕ4 class. By contrast, more general bare potentials allow us to diminish the lower bound considerably. We identify a simple renormalization group mechanism for this depletion of the lower bound. If this depletion is also active in the full standard model, Higgs masses smaller than the conventional infrared window do not necessarily require new physics at low scales or give rise to instability problems.

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Phys. Rev. D 89, 045012– Published 19 February, 2014
  • Received 12 September 2013

© 2014 American Physical Society

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