A lattice study of a chirally invariant Higgs–Yukawa model including a higher dimensional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="normal">Φ</mml:mi></mml:mrow><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msup></mml:math>-term

Chu, David Y.-J.; Jansen, Karl; Knippschild, Bastian; Lin, C.-J. David; Nagy, Attila

doi:10.1016/j.physletb.2015.03.050

Cited by 20 publications

(40 citation statements)

References 26 publications

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“…Beyond perturbation theory one can use first principle lattice studies [11][12][13][14][15] for which our results can be viewed exploratory in nature.…”

Section: The Composite Facet Of Gauge Yukawa Theoriesmentioning

confidence: 99%

Four-fermion limit of gauge-Yukawa theories

2015

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We elucidate and extend the conditions that map gauge-Yukawa theories at low energies into time-honoured gauged four-fermion interactions at high energies. These compositeness conditions permit to investigate theories of composite dynamics through gauge-Yukawa theories. Here we investigate whether perturbative gauge-Yukawa theories can have a strongly coupled limit at high-energy, that can be mapped into a four-fermion theory. Interestingly, we are able to precisely carve out a region of the perturbative parameter space supporting such a composite limit. This has interesting implications on our current view on models of particle physics. As a template model we use an SU(N C ) gauge theory with N F Dirac fermions transforming according to the fundamental representation of the gauge group. The fermions further interact with a gauge singlet complex N F × N F Higgs that ceases to be a physical degree of freedom at the ultraviolet composite scale, where it gives away to the four-fermion interactions. We compute the hierarchy between the ultraviolet and infrared composite scales of the theory and show that they are naturally large and well separated. Our results show that some weakly coupled gauge-Yukawa theories can be viewed, in fact, as composite theories. It is therefore tantalising to speculate that the standard model, with its phenomenological perturbative Higgs sector, could hide, in plain sight, a composite theory.

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“…Beyond perturbation theory one can use first principle lattice studies [11][12][13][14][15] for which our results can be viewed exploratory in nature.…”

Section: The Composite Facet Of Gauge Yukawa Theoriesmentioning

confidence: 99%

Four-fermion limit of gauge-Yukawa theories

2015

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“…Recently adding perturbatively irrelevant operators to the Higgs potential was shown to increase the maximal allowed cutoff considerably 14,15,16 . It is not clear yet if there exist any absolute lower bound in this wider sense, since no systematic exploration of the coupling space has been conducted to date.…”

Section: Introductionmentioning

confidence: 99%

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

2016

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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.

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“…Certainly, this study should be continued in several aspects, before conclusions drawn from first experience could be generalized. First, higher dimensional operators should be included into the scalar potential and check that they influence the lower bound of m σ as was signalled in [15,18]. Here the analytic continuation of the Taylor expanded potential into a functional form obeying the RGE dictated asymptotic behavior is of central interest [23].…”

Section: Discussionmentioning

confidence: 99%

“…Now the lower bound arising from requiring the stability of the Higgs potential is more in the focus. In particular, the possibility of the higher dimensional operators playing an essential role in the stability of the model is now actively investigated [14,15,16,17,18]. In finding a reliable answer the accuracy of the renormalisation group equations (RGE) connecting the low energy momentum range with the operator content of the theory defined at the cutoff is of outstanding importance.…”

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confidence: 99%

Renormalisation group determination of scalar mass bounds in a simple Yukawa-model

Jakovác

Kaposvári

Patkós

2016

Int. J. Mod. Phys. A

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The scalar mass is determined in the simplest scalar-fermion Yukawa-model in the whole range of stability of the scalar potential. Two versions of the Functional Renormalisation Group (FRG) equations are solved, where also composite fermionic background is taken into account. The close agreement of the results with previous studies taking into account exclusively the effect of the scalar condensate, supports a rather small systematic truncation error of FRG due to the omission of higher dimensional operators.1 Motivation: from "Moscow-zero" to Higgs-mass boundsThe discovery of the "Moscow-zero" [1] (alias Landau-pole) appears from modern perspective as a true Archimedean "fixed point" on the historical path of renormalized quantum field theories. Its real importance has been recognized after desperate discussions concerning the very sense of quantum field theory. The present conference gives the opportunity to quote from the history notes of A.A. Anselm [2] that researchers of the Theory Division of the Leningrad (at present Petersburg) Nuclear Physics Institute under the "natural scientific leadership" of V.N. Gribov contributed "many important papers during the 50's and the beginning of the 60's to the development of the "null-charge" problem." And the interest of Volodia Gribov did not diminish with time [3].At present two alternative attitudes are taken concerning the exact nature of the field theories which in the framework of (resummed) perturbation theory appear to possess Landau-pole. The concept of asymptotic safety [4] envisages the existence of an UV-attractive fixed point in the renormalisation flow of the model under study. The energy scale of this fixed point should be lower than the scale of the Landau-pole. Assuming the existence of such a fixed point in the joint theory of gravity and the Standard Model at the scale of the Planck-mass a quite accurate prediction(!) of the mass of the Higgs particle was achieved [5]. Some recent papers [6] express very optimistic views concerning the existence of a UV-safe completion of the Standard Model on its own, but to present date no such interactive fixed point could have been found.

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A lattice study of a chirally invariant Higgs–Yukawa model including a higher dimensionalΦ6-term

Cited by 20 publications

References 26 publications

Four-fermion limit of gauge-Yukawa theories

Four-fermion limit of gauge-Yukawa theories

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

Renormalisation group determination of scalar mass bounds in a simple Yukawa-model

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