Composite Higgs Dynamics on the Lattice

Abstract

We investigate the spectrum of the SU(2) gauge theory with $N_f$ = 2 flavors of fermions in the fundamental representation, in the continuum, using lattice simulations. This model provides a minimal template which has been used for different strongly coupled extensions of the Standard Model ranging from composite (Goldstone) Higgs models to intriguing types of dark matter candidates, such as the SIMPs. Here we will focus on the composite Goldstone Higgs paradigm, for which this model provides a minimal UV complete realization in terms of a new strong sector with fermionic matter. After introducing the relevant Lattice methods used in our simulations, we will discuss our numerical results. We show that this model features a SU(4)/Sp(4) $\sim$ SO(6)/SO(5) flavor symmetry breaking pattern, and estimate the value of its chiral condensate. Finally, we present our results for the mass spectrum of the lightest spin one and zero resonances, analogue to the QCD $\rho$, $a_1$, $\sigma$, ${\eta }^{\prime }$, $a_0$ resonances, which are relevant for searches of new, exotic resonances at the LHC.

11 pages, 6 figures, prepared for the proceedings of the "XIIth Quark Confinement and the Hadron Spectrum" conference

References in corpus (9)

• High-precision scale setting in lattice QCD
• Dark Matter from new Technicolor Theories
• Ultra Minimal Technicolor and its Dark Matter TIMP
• Towards Working Technicolor: Effective Theories and Dark Matter
• SIMP Spectroscopy
• Fundamental Composite Higgs Dynamics on the Lattice: SU(2) with Two Flavors
• Fundamental partial compositeness
• Resonant SIMP dark matter
• $A_k\bar{F}$ Chiral Gauge Theories

Cited by in corpus (12)

• Sp(4) gauge theory on the lattice: towards SU(4)/Sp(4) composite Higgs (and beyond)
• Sp(4) gauge theories on the lattice: $N_f=2$ dynamical fundamental fermions
• Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions
• A Near-Conformal Composite Higgs Model
• Lattice studies of the $Sp(4)$ gauge theory with two fundamental and three antisymmetric Dirac fermions
• Glueballs and Strings in $Sp(2N)$ Yang-Mills theories
• $Sp(2N)$ Yang-Mills theories on the lattice: scale setting and topology
• Dark matter in (partially) composite Higgs models
• Towards top-down holographic composite Higgs: minimal coset from maximal supergravity
• Toward minimal composite Higgs models from regular geometries in bottom-up holography
• Real and Complex Fundamental Partial Compositeness
• Composite two-Higgs doublet model from dilaton effective field theory