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On the gauge dependence of the Standard Model vacuum instability scale

Authors
  • Di Luzio, Luca
  • Mihaila, Luminita
Type
Preprint
Publication Date
Jun 11, 2014
Submission Date
Apr 29, 2014
Identifiers
DOI: 10.1007/JHEP06(2014)079
Source
arXiv
License
Yellow
External links

Abstract

After reviewing the calculation of the Standard Model one-loop effective potential in a class of linear gauges, we discuss the physical observables entering the vacuum stability analysis. While the electroweak-vacuum-stability bound on the Higgs boson mass can be formally proven to be gauge independent, the field value at which the effective potential turns negative (the so-called instability scale) is a gauge dependent quantity. By varying the gauge-fixing scheme and the gauge-fixing parameters in their perturbative domain, we find an irreducible theoretical uncertainty of at least two orders of magnitude on the scale at which the Standard Model vacuum becomes unstable.

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