Scalar mass stability bound in a simple Yukawa-theory from renormalisation group equations

Abstract

Functional Renormalisation Group (FRG) equations are constructed for a simple Yukawa-model with discrete chiral symmetry, including also the effect of a nonzero composite fermion background beyond the conventional scalar condensate. The evolution of the effective potential of the model, generically depending on two invariants, is explored with help of power series expansions. Systematic investigation of the effect of a class of irrelevant operators on the lower (stability) bound allows a non-perturbative extension of the maximal cut-off value consistent with any given mass of the scalar field.

16 pages, 7 figures, lower mass bound derived with significantly extended operator set in FRGE's, version matching the article to appear in MPLA

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• Asymptotic freedom in $Z_2$-Yukawa-QCD models
• Scheme dependence of asymptotically free solutions
• An asymptotically safe SU(5) GUT
• Renormalization Group Flow of the Higgs Potential
• Pseudo-Periodic Natural Higgs Inflation
• Pseudo-Goldstone excitations in chiral Yukawa-theories with quadratic explicit symmetry breaking