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

@article{Jakovc2017ScalarMS,
  title={Scalar mass stability bound in a simple Yukawa-theory from renormalization group equations},
  author={Antal Jakov{\'a}c and I. Kaposv{\'a}ri and Andr{\'a}s Patk{\'o}s},
  journal={Modern Physics Letters A},
  year={2017},
  volume={32},
  pages={1750011}
}
Functional renormalization 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 the help of power series expansions. Systematic investigation of the effect of a class of irrelevant operators on the lower (stability) bound allows a… 
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Renormalization group flow of the Higgs potential
  • H. Gies, Ren'e Sondenheimer
  • Physics
    Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2018
TLDR
It is demonstrated that the inclusion of higher-dimensional operators induced by an underlying theory at a high scale (GUT or Planck scale) can relax the conventional lower bound on the Higgs mass derived from the criterion of absolute stability.
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