Baryon spectrum of SU(4) composite Higgs theory with two distinct fermion representations

Ayyar, Venkitesh; DeGrand, Thomas; Hackett, Daniel C.; Jay, Walter M.; Neil, Ethan T.; Shamir, Yigal; Svetitsky, Benjamin

doi:10.1103/physrevd.97.114505

Cited by 72 publications

(107 citation statements)

References 66 publications

(67 reference statements)

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“…(4.1), works so well without including any dependence onm 4 , the mass of the fundamental fermions. We have found before that the fundamental fermions have only a weak influence on quantities constructed from the sextet fermions [28,29]. We can test the stability of our fit against the inclusion of anm 4 term, as well as higher-order terms inm 6 andâ: "Base − p a + p aa ," which models the lattice-spacing dependence as quadratic instead of linear.…”

Section: C Lr In the Chiral And Continuum Limitmentioning

confidence: 88%

Radiative contribution to the composite-Higgs potential in a two-representation lattice model

et al. 2019

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Working in a two-representation lattice gauge theory that is close to a composite Higgs model, we calculate the low-energy constant C LR which controls the contribution of the electroweak gauge bosons to the Higgs potential. In QCD, the corresponding low-energy constant governs the mass splitting of the pion multiplet. Taking the continuum and chiral limits, we find that C LR , in units of the pseudoscalar decay constant, is roughly of the same size as its QCD counterpart.

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Section: C Lr In the Chiral And Continuum Limitmentioning

confidence: 88%

Radiative contribution to the composite-Higgs potential in a two-representation lattice model

et al. 2019

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“…This is a novel area of exploration for lattice gauge theories, for which the literature is somewhat limited (see for instance Refs. [21,27,29,33,38]). New fermion bound states, sometimes referred to as chimera baryons, can be sourced by operators that involve gauge-invariant combinations of fermions in mixed representations.…”

Section: Discussionmentioning

confidence: 99%

Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions

et al. 2020

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We perform lattice studies of meson mass spectra and decay constants of the Sp(4) gauge theory in the quenched approximation. We consider two species of (Dirac) fermions as matter field content, transforming in the 2-index antisymmetric and the fundamental representation of the gauge group, respectively. All matter fields are formulated as Wilson fermions. We extrapolate to the continuum and massless limits, and compare to each other the results obtained for the two species of mesons. In the case of two fundamental and three antisymmetric fermions, the long-distance dynamics is relevant for composite Higgs models. This is the first lattice study of this class of theories. The global SU (4) × SU (6) symmetry is broken to the Sp(4) × SO(6) subgroup, and the condensates align with the explicit mass terms present in the lattice formulation of the theory.The main results of our quenched calculations are that, with fermions in the 2-index antisymmetric representation of the group, the masses squared and decay constant squared of all the mesons we considered are larger than the corresponding quantities for the fundamental representation, by factors that vary between ∼ 1.2 and ∼ 2.7. We also present technical results that will be useful for future lattice investigations of dynamical simulations, of composite chimera baryons, and of the approach to large-N in the Sp(2N ) theories considered. We briefly discuss their high-temperature behaviour, where symmetry restoration and enhancement are expected. We acknowledge useful discussions withWe summarise in this Appendix our conventions in the treatment of spinors, which are useful, for example, in switching between the 2-component and the 4-component notation (see also Ref. [50]). The former is best suited to highlight the symmetries of the system, while the latter is the formalism adopted as a starting point for the lattice numerical

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“…Some results about the (quenched) spectrum of mesons in the theory with this field content will be presented in Ref. [83], but the implementation of fully dynamical calculations with multiple fermion representations will require a significant amount of development, with only few examples of calculations of this type existing in the current literature [28,32,37,85,118].…”

Section: Discussionmentioning

confidence: 99%

Sp (4) gauge theories on the lattice: Nf = 2 dynamical fundamental fermions

Bennett

Hong

Lee

et al. 2019

J. High Energ. Phys.

135

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We perform lattice studies of the gauge theory with Sp(4) gauge group and two flavours of (Dirac) fundamental matter. The global SU (4) symmetry is spontaneously broken by the fermion condensate. The dynamical Wilson fermions in the lattice action introduce a mass that breaks the global symmetry also explicitly. The resulting pseudo-Nambu-Goldstone bosons describe the SU (4)/Sp(4) coset, and are relevant, in the context of physics beyond the Standard Model, for composite Higgs models. We discuss scale setting, continuum extrapolation and finite volume effects in the lattice theory. We study mesonic composite states, which span representations of the unbroken Sp(4) global symmetry, and we measure masses and decay constants of the (flavoured) spin-0 and spin-1 states accessible to the numerical treatment, as a function of the fermion mass. With help from the effective field theory treatment of such mesons, we perform a first extrapolation towards the massless limit. We assess our results by critically comparing to the literature on other models and to the quenched results, and we conclude by outlining future avenues for further exploration. The results of our spectroscopic analysis provide new input data for future phenomenological studies in the contexts of composite Higgs models, and of dark matter models with a strongly coupled dynamical origin. arXiv:1909.12662v2 [hep-lat] 22 Nov 2019 7 Comparison to other gauge theories 37 8 Continuum results: summary 42 9 Conclusions and outlook 43 A Lattice action and numerical calculations: additional details 45 A.1 Hybrid Monte Carlo 45 A.2 Of diquarks 47 A.3 Effective mass and fitting procedure 48 B Low-energy constants and global fit 50 -1 -

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Baryon spectrum of SU(4) composite Higgs theory with two distinct fermion representations

Cited by 72 publications

References 66 publications

Radiative contribution to the composite-Higgs potential in a two-representation lattice model

Radiative contribution to the composite-Higgs potential in a two-representation lattice model

Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions

Sp (4) gauge theories on the lattice: Nf = 2 dynamical fundamental fermions

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