Higgs compositeness in Sp(2N) gauge theories - Determining the low-energy constants with lattice calculations

Abstract

As a first step towards a quantitative understanding of the SU(4)/Sp(4) composite Higgs model through lattice calculations, we discuss the low energy effective field theory resulting from the SU(4) $\to$ Sp(4) global symmetry breaking pattern. We then consider an Sp(4) gauge theory with two Dirac fermion flavours in the fundamental representation on a lattice, which provides a concrete example of the microscopic realisation of the SU(4)/Sp(4) composite Higgs model. For this system, we outline a programme of numerical simulations aiming at the determination of the low-energy constants of the effective field theory and we test the method on the quenched theory. We also report early results from dynamical simulations, focussing on the phase structure of the lattice theory and a calculation of the lowest-lying meson spectrum at coarse lattice spacing.

arXiv comment16 pages, 7 figures, 4 tables. Combined contributions of B. Lucini and J.-W. Lee to the Lattice 2017 Symposium. To appear in EPJ Web Conf

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Cited by in corpus (8)

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• Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions
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• Vacuum misalignment and pattern of scalar masses in the SU(5)/SO(5) composite Higgs model
• Glueballs and Strings in $Sp(2N)$ Yang-Mills theories
• Higgs compositeness in $\mathrm{Sp}(2N)$ gauge theories --- Resymplecticisation, scale setting and topology
• The Left-Right Symmetric Composite Higgs