TL;DR
This paper reviews recent lattice simulation progress in exploring strongly-coupled gauge theories, aiming to understand their role in models of electroweak symmetry breaking with composite Higgs bosons.
Contribution
It provides an overview of non-perturbative lattice methods applied to complex gauge theories relevant for beyond Standard Model physics.
Findings
Advances in lattice simulation techniques for strongly-coupled theories
Identification of rich phase structures in theories with many fermions
Insights into dynamical electroweak symmetry breaking mechanisms
Abstract
Strongly-coupled gauge theories are an important ingredient in the construction of many extensions of the standard model, particularly for models of electroweak symmetry breaking in which the Higgs boson is a composite object. There is a large parameter space of such gauge theories with a rich phase structure, particularly in the presence of large numbers of fermionic degrees of freedom. Lattice simulation provides a non-perturbative way to explore this space of strongly-coupled theories, and to search for interesting dynamical features. Here I review recent progress in the simulation of such theories, with an eye towards applications to dynamical electroweak symmetry breaking.
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