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

Jakovác, Antal; Kaposvári, I.; Patkós, A.

doi:10.1142/s0217732317500110

Cited by 14 publications

(24 citation statements)

References 33 publications

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“…However, we were able to construct one particular family of generalized bare potentials that shows some convergence behavior. For this family an example was given that was able to diminish the lower bound below present consistency bounds obtained from finite-order generalizations of the bare action within the considered toy model [66,70,71]. Moreover, we demonstrated how bare potentials can be constructed via reverse engineering such that the effective potential does not suffer from a stability problem and is compatible with observed IR physics.…”

Section: Discussionmentioning

confidence: 95%

Nonpolynomial Higgs interactions and vacuum stability

Sondenheimer

2019

Eur. Phys. J. C

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The possible violation of the conventional lower Higgs mass stability bound by the discovered Higgs boson has far reaching consequences within particle physics and cosmology. We discuss the possibility that nonpolynomial bare interactions seeded at some high-momentum scale can considerably diminish the lower Higgs mass bound without introducing a metastability in the Higgs effective potential. For this, we classify various deformations of the usual quartic bare potential regarding their impact on stable IR physics. We perform the analysis in a large N f expansion, addressing the convergence of the obtained results by taking 1/N f corrections into account as well. In addition, we investigate the renormalization group flow of the scalar potential on a nonperturbative level. Within these approximations, we are able to identify bare potentials that lead to Higgs masses below stability mass bounds obtained from finite-order polynomial bare interactions without introducing a metastability in the effective potential.

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Section: Discussionmentioning

confidence: 95%

Nonpolynomial Higgs interactions and vacuum stability

Sondenheimer

2019

Eur. Phys. J. C

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“…In principle, higherorder modifications of the Yukawa sector could also be included, cf. [47][48][49]. We investigate three classes of modifications to the SM-Higgs potential:…”

Section: Modified Higgs Potentialsmentioning

confidence: 99%

“…The global properties of the Higgs potential are also intimately related to the questions of vacuum stability and Higgs mass bounds [20][21][22]. In fact, higher-dimensional operators can also increase the stability regime of the vacuum [13,16,[23][24][25][26][27]. The example Higgs potentials studied in this paper suggest new-physics scales well below a possible instability scale of 10 10···12 GeV of the Standard Model.…”

Section: Introductionmentioning

confidence: 99%

Probing baryogenesis through the Higgs boson self-coupling

et al. 2018

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The link between a modified Higgs self-coupling and the strong first-order phase transition necessary for baryogenesis is well explored for polynomial extensions of the Higgs potential. We broaden this argument beyond leading polynomial expansions of the Higgs potential to higher polynomial terms and to non-polynomial Higgs potentials. For our quantitative analysis we resort to the functional renormalization group, which allows us to evolve the full Higgs potential to higher scales and finite temperature. In all cases we find that a strong first-order phase transition manifests itself in an enhancement of the Higgs self-coupling by at least 50%, implying that such modified Higgs potentials should be accessible at the LHC. CONTENTS

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“…The non-Abelian Higgs model can be recovered from the general case by simply performing the substitutions in Eq. (83), thus ∂ t f reduces to…”

Section: B Weak Coupling Expansionmentioning

confidence: 99%

Scheme dependence of asymptotically free solutions

et al. 2019

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Recent studies have provided evidence for the existence of new asymptotically free trajectories in non-Abelian particle models without asymptotic symmetry in the high-energy limit. We extend these results to a general SU(NL) × SU(Nc) Higgs-Yukawa model that includes the non-Abelian sector of the standard model, finding further confirmation for such scenarios for a wide class of regularizations that account for threshold behavior persisting to highest energies. We construct these asymptotically free trajectories within conventional MS schemes and systematic weak coupling expansions. The existence of these solutions is argued to be a scheme-independent phenomenon, as demonstrated for mass-dependent schemes based on general momentum-space infrared regularizations. A change of scheme induces a map of the theory's coupling space onto itself, which in the present case also translates into a reparametrization of the space of asymptotically free solutions.

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

Cited by 14 publications

References 33 publications

Nonpolynomial Higgs interactions and vacuum stability

Nonpolynomial Higgs interactions and vacuum stability

Probing baryogenesis through the Higgs boson self-coupling

Scheme dependence of asymptotically free solutions

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