Higgs-Yukawa model with higher dimension operators via extended mean field theory

Abstract

Using extended mean field theory (EMFT) on the lattice, we study properties of the Higgs-Yukawa model as an approximation of the standard model Higgs sector, and the effect of higher dimension operators. We note that the discussion of vacuum stability is completely modified in the presence of a ${\varphi }^6$ term, and that the Higgs mass no longer appears fine tuned. We also study the finite temperature transition. Without higher dimension operators the transition is found to be second order (crossover with gauge fields) for the experimental value of the Higgs mass $M_h=125$ GeV. By taking a ${\varphi }^6$ interaction in the Higgs potential as a proxy for a UV completion of the standard model, the transition becomes stronger and turns first order if the scale of new physics, i.e. the mass of the lightest mediator particle, is around $1.5$ TeV. This implies that electroweak baryogenesis may be viable in models which introduce new particles around that scale.

9 pages, 9 figures, v2: Improved discussion and added table, made to match published version

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Cited by in corpus (6)

• Brout-Englert-Higgs physics: From foundations to phenomenology
• Probing Baryogenesis through the Higgs Self-Coupling
• Asymptotic freedom in $Z_2$-Yukawa-QCD models
• Study of the Question of an Ultraviolet Zero in the Six-Loop Beta Function of the O($N$) $\lambda |\vec{\varphi }{|}^4$ Theory
• Renormalization Group Flow of the Higgs Potential
• The Yukawa Model in One Space - One Time Dimensions