Composite Higgs Meets Planck Scale: Partial Compositeness from Partial Unification

Cacciapaglia, Giacomo; Vatani, Shahram; Zhang, Chen

doi:10.48550/arxiv.1911.05454

Cited by 2 publications

(2 citation statements)

References 34 publications

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“…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. (The anomalous dimensions of chimera baryons are discussed for example in [40,61,110].) The study of these states is necessary in the context of top compositeness, as they are interpreted as top partners.…”

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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Section: Discussionmentioning

confidence: 99%

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

et al. 2020

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“…In Ref. [96] another type of UV complete composite Higgs models with fermion partial compositeness based on Sp(4) gauge theories with 6 antisymmetric and 12 fundamental Weyl flavors were considered, which will be denoted by CVZ in this work. Note that throughout this section and Appendix B we denote N R for the number of Weyl spinors if the representation is real or pseudoreal, and for the number of Dirac flavors if the representation is complex.…”

Section: Elsmentioning

confidence: 99%

Into the conformal window: Multirepresentation gauge theories

2020

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We investigate the conformal window of four-dimensional gauge theories with fermionic matter fields in multiple representations. Of particularly relevant examples are the ultra-violet complete models with fermions in two distinct representations considered in the context of composite Higgs and top partial-compositeness. We first discuss various analytical approaches to unveil the lower edge of the conformal window and their extension to the multiple matter representations. In particular, we argue that the scheme-independent series expansion for the anomalous dimension of a fermion bilinear at an infrared fixed point, γχ χ, IR , combined with the conjectured critical condition, γχ χ, IR = 1 or equivalently γχ χ, IR (2−γχ χ, IR ) = 1, can be used to determine the boundary of conformal phase transition on fully physical grounds. In illustrative cases of SU (2) and SU (3) theories with N R Dirac fermions in various representations, we assess our results by comparing to other analytical or lattice results. *

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Composite Higgs Meets Planck Scale: Partial Compositeness from Partial Unification

Cited by 2 publications

References 34 publications

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

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

Into the conformal window: Multirepresentation gauge theories

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