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

Akerlund, Oscar; Forcrand, Philippe de

doi:10.1103/physrevd.93.035015

Cited by 12 publications

(12 citation statements)

References 17 publications

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“…Nevertheless, the scalar sector of the SM is widely believed to be trivial [1][2][3], therefore the cut-off is indispensable. This makes its predictions of low-energy quantities, such as the Higgs boson mass, sensitive to new physics effects which can appear as higherdimensional irrelevant operators [4][5][6][7]. In view of this, it is desirable to find an alternative EWSB model in which the interaction is described by a relevant operator.…”

Section: Introductionmentioning

confidence: 99%

The Yang-Mills gradient flow and SU(3) gauge theory with 12 massless fundamental fermions in a colour-twisted box

Lin

Ogawa

Ramos

2015

J. High Energ. Phys.

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Abstract:We perform the step-scaling investigation of the running coupling constant, using the gradient-flow scheme, in SU(3) gauge theory with twelve massless fermions in the fundamental representation. The Wilson plaquette gauge action and massless unimproved staggered fermions are used in the simulations. Our lattice data are prepared at high accuracy, such that the statistical error for the renormalised coupling, g GF , is at the subpercentage level. To investigate the reliability of the continuum extrapolation, we employ two different lattice discretisations to obtain g GF . For our simulation setting, the corresponding gauge-field averaging radius in the gradient flow has to be almost half of the lattice size, in order to have this extrapolation under control. We can determine the renormalisation group evolution of the coupling up to g 2 GF ∼ 6, before the onset of the bulk phase structure. In this infrared regime, the running of the coupling is significantly slower than the two-loop perturbative prediction, although we cannot draw definite conclusion regarding possible infrared conformality of this theory. Furthermore, we comment on the issue regarding the continuum extrapolation near an infrared fixed point. In addition to adopting the fit ansätz a'la Symanzik for performing this task, we discuss a possible alternative procedure inspired by properties derived from low-energy scale invariance at strong coupling. Based on this procedure, we propose a finite-size scaling method for the renormalised coupling as a means to search for infrared fixed point. Using this method, it can be shown that the behaviour of the theory around g 2 GF ∼ 6 is still not governed by possible infrared conformality.

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Section: Introductionmentioning

confidence: 99%

The Yang-Mills gradient flow and SU(3) gauge theory with 12 massless fundamental fermions in a colour-twisted box

Lin

Ogawa

Ramos

2015

J. High Energ. Phys.

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“…(8), which leads effectively to a larger cutoff for a fixed Higgs mass. Besides implications for the Higgs mass an additional φ 6 operator affects also tunneling rates in case a second minimum is present [87][88][89][90][91], see also [92] for a specific beyond the standard model scenario, or the electroweak phase transition [93,94].…”

Section: A Higgs Mass Consistency Bound For Polynomial Bare Potentialsmentioning

confidence: 99%

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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“…Figure 3 shows the results of the fits for ϕ , χ and Q in the pure-scalar O(4) model using the scaling formulae in Eqs. (13) and (14). The fit parameters are λ m R and A (ϕ,χ) .…”

Section: Finite-size Scaling For the Higgs-yukawa Model Near The Gausmentioning

confidence: 99%

Higgs-Yukawa model on the lattice

et al. 2018

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Abstract. We present results from two projects on lattice calculations for the HiggsYukawa model. First we report progress on the search of first-order thermal phase transitions in the presence of a dimension-six operator, with the choices of bare couplings that lead to viable phenomenological predictions. In this project the simulations are performed using overlap fermions. Secondly, our study for applying finite-size scaling techniques near the Gaussian fixed point of the Higgs-Yukawa model is presented. We discuss the analytical formulae for the Higgs Yukawa model and show results for a first numerical study in the pure O(4) scalar sector of the theory.

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

Cited by 12 publications

References 17 publications

The Yang-Mills gradient flow and SU(3) gauge theory with 12 massless fundamental fermions in a colour-twisted box

The Yang-Mills gradient flow and SU(3) gauge theory with 12 massless fundamental fermions in a colour-twisted box

Nonpolynomial Higgs interactions and vacuum stability

Higgs-Yukawa model on the lattice

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