Radiative contribution to the effective potential in composite Higgs models from lattice gauge theory

Abstract

We develop methods to calculate the electroweak gauge boson contribution to the effective Higgs potential in the context of composite Higgs models, using lattice gauge theory. The calculation is analogous to that of the electromagnetic mass splitting of the pion multiplet in QCD. We discuss technical details of carrying out this calculation, including modeling of the momentum and fermion-mass dependence of the underlying current-current correlation function; direct integration of the correlation function over momentum; and fits based on the minimal-hadron approximation. We show results of a numerical study using valence overlap fermions, carried out in an SU(4) gauge theory with two flavors of Dirac fermions in the two-index antisymmetric representation.

34 pages, 10 figures

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Cited by in corpus (15)

• Spectroscopy of SU(4) composite Higgs theory with two distinct fermion representations
• Light scalars in composite Higgs models
• Third-family quark-lepton unification with a fundamental composite Higgs
• Higgs Physics: It ain't over till it's over
• Effective potential in ultraviolet completions for composite Higgs models
• Radiative contribution to the composite-Higgs potential in a two-representation lattice model
• Looking behind the Standard Model with lattice gauge theory
• A UV Complete Compositeness Scenario: LHC Constraints Meet The Lattice
• Electroweak Top Couplings, Partial Compositeness and Top Partner Searches
• Same-sign W pair production in composite Higgs models
• Low-energy constant $L_{10}$ in a two-representation lattice theory
• Radiative contribution to the effective potential in a composite Higgs model
• Towards a composite Higgs and a partially composite top quark
• SU(2) gauge theory with one and two adjoint fermions towards the continuum limit
• More on the flavor dependence of $m_{\varrho }/f_{\pi }$