Higgs critical exponents and conformal bootstrap in four dimensions

Antipin, Oleg; Mølgaard, Esben; Sannino, Francesco

doi:10.1007/jhep06(2015)030

Cited by 16 publications

(12 citation statements)

References 154 publications

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“…Recently, analyses using crossing symmetry in conformal field theories have added extra constraints for the scalar operator with the lowest dimension [27,28]. However, the constraints are not generally applicable to the operator relevant for flavor as demonstrated in [29].…”

Section: Introductionmentioning

confidence: 99%

Ideal walking dynamics via a gauged NJL model

2017

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According to the Ideal Walking Technicolor paradigm large mass anomalous dimensions arise in gauged Nambu-Jona-Lasinio (NJL) models when the four-fermion coupling is sufficiently strong to induce spontaneous symmetry breaking in an otherwise conformal gauge theory. We therefore study the SU (2) gauged NJL model with two adjoint fermions using lattice simulations. The model is in an infrared conformal phase at small NJL coupling while it displays a chirally broken phase at large NJL couplings. In the infrared conformal phase we find that the mass anomalous dimension varies with the NJL coupling reaching γm ∼ 1 close to the chiral symmetry breaking transition, de facto making the present model the first explicit realization of the Ideal Walking scenario.

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Section: Introductionmentioning

confidence: 99%

Ideal walking dynamics via a gauged NJL model

2017

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“…In this section, we analyze the symmetry breaking pattern induced by charge fixing and set up the semiclassical computation. After a Weyl map to the cylinder, our starting points are the cylinder action (68) and the spatially homogeneous ground state ansatz given by Eq. ( 69).…”

Section: A Charging the Systemmentioning

confidence: 99%

“…The classical energy E is given by evaluating the cylinder Lagrangian L cyl in (68) with an appropriate boundary term − N i=1 µ i ∂L cyl ∂µ i , which implements the charge fixing. We obtain…”

Section: A Charging the Systemmentioning

confidence: 99%

Untangling scaling dimensions of fixed charge operators in Higgs Theories

Antipin,

Bersini,

Sannino

et al. 2021

Preprint

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CONTENTS I. Introduction 2 II. Review of semiclassical methods at fixed charge in weakly coupled theories 3 A. The U(1) model in 4 − and 3 − dimensions 3 B. The O(N) model in 4 − and 3 − dimensions 7 III. From group theory to operators: The map 11 A. The power of symmetries 11 B. The nature of charge fixing 13 C. Group-theoretic analysis: U(1) and O(N) vector models 14 D. Group-theoretic analysis: the U(N) × U(M) linear sigma model 15 1. Introduction 15 2. The correspondence between weight and charge configuration 17 3. Scaling dimension and operator construction 20 IV. Semiclassics and anomalous dimensions in the U(N) × U(M) model 22 A. Charging the system 23 B. On how to identify the fixed-charge operators 28 V. Conclusions 33 Acknowledgements 34 A. The functions ρ(x * , M, N, s, A h * , A * v ) and σ( , x * , M, N, s, A h * , A * v ) 34 References 35

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“…that of an elementary scalar field), while the dimension of (ψ T ψ) 2 , that induces a mass for the pNGB Higgs, needs to be close to 4. Bootstrap techniques have been used to prove the existence of an upper limit on the anomalous dimensions of scalar operators that seem to disprove the above situation[44,45].However, the bound applies to the anomalous dimension of the operator with smallest dimension, which may not be the one associated to the Higgs mass (see Ref [46]. for a counter-example).…”

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confidence: 99%

Vacuum alignment in a composite 2HDM

Cai

Zhang

Cacciapaglia

2019

J. High Energ. Phys.

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We study in detail the vacuum structure of a composite two Higgs doublet model based on a minimal underlying theory with 3 Dirac fermions in pseudo-real representations of the condensing gauge interactions, leading to the SU(6)/Sp (6) symmetry breaking pattern. We find that, independently on the source of top mass, the most general CP-conserving vacuum is characterised by three non-vanishing angles. A special case occurs if the Yukawas are aligned, leading to a single angle. In the latter case, a Dark Matter candidate arises, protected by a global U(1) symmetry.

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Higgs critical exponents and conformal bootstrap in four dimensions

Cited by 16 publications

References 154 publications

Ideal walking dynamics via a gauged NJL model

Ideal walking dynamics via a gauged NJL model

Untangling scaling dimensions of fixed charge operators in Higgs Theories

Vacuum alignment in a composite 2HDM

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