Partial compositeness and baryon matrix elements on the lattice

Abstract

Partial compositeness is a mechanism for the generation of fermion masses which replaces a direct Higgs coupling to the fermions by a linear mixing with heavy composite partners. We present the first calculation of the relevant matrix element in a lattice model which is very close to a candidate theory containing a composite Higgs boson and a partially composite top quark. Specifically, our model is an SU(4) gauge theory coupled to dynamical fermions in the fundamental and two-index antisymmetric (sextet) representations. The matrix element we obtain is small and hence our result disfavors the scenario of obtaining a realistic top mass in this model.

Updated title and version accepted for publication in PRD

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• 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
• Gauge/gravity dynamics for composite Higgs models and the top mass
• Composite Higgs and Dark Matter Model in SU(6)/SO(6)
• A Near-Conformal Composite Higgs Model
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