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) → 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.
Highlights
In its conventional formulation, the Standard Model includes an elementary Higgs field, whose condensate breaks the electroweak symmetry
Even assuming that we can solve the hierarchy problem with a non-elementary Higgs, we still need to face a question related to the naturaleness of the scales involved, since the Higgs mass would anyhow be significantly lower than that of other states of the novel strong interaction
Examples of recent and current numerical work on relevant models include [9,10,11,12,13,14]. In this contribution we provide the first numerical study of the Sp(4) gauge theory with N f = 2 fundamental Dirac fermions
Summary
In its conventional (and currently accepted) formulation, the Standard Model includes an elementary Higgs field, whose condensate breaks the electroweak symmetry. Lattice studies in this direction have started to appear only quite recently. Examples of recent and current numerical work on relevant models (some of which have been reviewed in [8]) include [9,10,11,12,13,14] In this contribution we provide the first (and still preliminary) numerical study of the Sp(4) gauge theory with N f = 2 fundamental Dirac fermions. Two companion contributions describe respectively the study of the spectrum of Sp(4) Yang-Mills theory [15] and some more technical details (in particular, scale setting and topology) of Monte Carlo calculations in Yang-Mills Sp(4) and in the theory with dynamical fermions [16]
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