Perturbative realization of Miransky scaling

Antipin, Oleg; Chiara, Stefano Di; Mojaza, Matin; Mølgaard, Esben; Sannino, Francesco

doi:10.1103/physrevd.86.085009

Cited by 27 publications

(30 citation statements)

References 68 publications

(104 reference statements)

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“…The microscopic theories investigated here are SU(N c ) gauge theories featuring N f Dirac fermions transforming according to the fundamental representation of the gauge group, adjoint Weyl fermions, and N 2 f complex scalars, encapsulated in the Higgs matrix H. The scalars are coupled to the fermion and gauge sectors via Yukawa interactions. The existence of Banks-Zaks (BZ) [100] interacting fixed points in such a model has been established in [75,[101][102][103][104]. Furthermore, in [54] the reader will find an in depth study of the asymptotic safety scenario and crucial properties which are guaranteed to exist for some of these theories.…”

Section: Introductionmentioning

confidence: 99%

Higgs critical exponents and conformal bootstrap in four dimensions

Antipin

Mølgaard

Sannino

2015

J. High Energ. Phys.

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Abstract:We investigate relevant properties of composite operators emerging in nonsupersymmetric, four-dimensional gauge-Yukawa theories with interacting conformal fixed points within a precise framework. The theories investigated in this work are structurally similar to the standard model of particle interactions, but differ by developing perturbative interacting fixed points. We investigate the physical properties of the singlet and the adjoint composite operators quadratic in the Higgs field, and discover, via a direct computation, that the singlet anomalous dimension is substantially larger than the adjoint one. The numerical bootstrap results are, when possible, compared to our precise findings associated to the four dimensional conformal field theoretical results. To accomplish this, it was necessary to calculate explicitly the crossing symmetry relations for the global symmetry group SU(N ) × SU(N ).

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Section: Introductionmentioning

confidence: 99%

Higgs critical exponents and conformal bootstrap in four dimensions

Antipin

Mølgaard

Sannino

2015

J. High Energ. Phys.

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“…This theory has been investigated in much detail recently in [16][17][18][19][20] for a large number of interesting properties, not directly connected with compositeness. It has been studied earlier in connection with top-quark condensate models in [22,23], albeit in a different setup and limit that we here are taking.…”

Section: The Composite Templatementioning

confidence: 99%

“…The RG structure of this theory is quite rich and has been intensively studied in recent years [4,5,[16][17][18][19][20][21]. Here, we are interested in a new point-of-view, which concerns compositeness.…”

Section: Next-to-next-to-leading Order: the Awakening Of The Scalarsmentioning

confidence: 99%

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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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“…In the Higgs-Yukawa framework, if one were formally to take a Yukawa coupling to infinity, the problem of the apparently anomalous low-energy effective theory would be circumvented by the appearance of a nonperturbative topological Wess-Zumino term in the action [25]. However, there are complications with trying to take a Yukawa coupling to be arbitrarily large, because the beta function for the Yukawa coupling has an infrared zero at the value zero (the "triviality" property of Yukawa theories), as was shown by nonperturbative lattice measurements [26] and perturbative beta function calculations (e.g., [27] and references therein).…”

Section: Anomaly Freedom Of a Low-energy Effective Theory Arisinmentioning

confidence: 99%

Renormalization-group evolution and nonperturbative behavior of chiral gauge theories with fermions in higher-dimensional representations

Shi

Shrock

2015

Phys. Rev. D

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We study the ultraviolet to infrared evolution and nonperturbative behavior of a simple set of asymptotically free chiral gauge theories with an SU(N ) gauge group and an anomaly-free set of nS k copies of chiral fermions transforming as the symmetric rank-k tensor representation, S k , and nĀ ℓ copies of fermions transforming according to the conjugate antisymmetric rank-ℓ tensor representation,Ā ℓ , of this group with k, ℓ ≥ 2. As part of our study, we prove a general theorem guaranteeing that a low-energy effective theory resulting from the dynamical breaking of an anomalyfree chiral gauge theory is also anomaly-free. We analyze the theories with k = ℓ = 2 in detail and show that there are only a finite number of these. Depending on the specific theory, the ultraviolet to infrared evolution may lead to a non-Abelian Coulomb phase, or may involve confinement with massless composite fermions, or fermion condensation with dynamical gauge and global symmetry breaking. We show that S kĀk chiral gauge theories with k ≥ 3 are not asymptotically free. We also analyze theories with fermions in S k andĀ ℓ representations of SU(N ) with k = ℓ and k, ℓ ≥ 2.

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Perturbative realization of Miransky scaling

Cited by 27 publications

References 68 publications

Higgs critical exponents and conformal bootstrap in four dimensions

Higgs critical exponents and conformal bootstrap in four dimensions

Four-fermion limit of gauge-Yukawa theories

Renormalization-group evolution and nonperturbative behavior of chiral gauge theories with fermions in higher-dimensional representations

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