Abstract
The Sp(4) gauge theory with two Dirac fundamental flavours provides a candidate for the microscopic origin of composite-Higgs models based on the SU(4)/Sp(4) coset. We employ a combination of two different, complementary strategies for the numerical lattice calculations, based on the Hybrid Monte Carlo and on the Heat Bath algorithms. We perform pure Yang-Mills, quenched computations and exploratory studies with dynamical Wilson fermions.
We present the first results in the literature for the spectrum of glueballs of the pure Sp(4) Yang-Mills theory, an EFT framework for the interpretation of the masses and decay constants of the lightest pion, vector and axial-vector mesons, and a preliminary calculation of the latter in the quenched approximation. We show the first numerical evidence of a bulk phase transition in the lattice theory with dynamical Wilson fermions, and perform the technical steps necessary to set up future investigations of the mesonic spectrum of the full theory.
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Bennett, E., Hong, D.K., Lee, JW. et al. Sp(4) gauge theory on the lattice: towards SU(4)/Sp(4) composite Higgs (and beyond). J. High Energ. Phys. 2018, 185 (2018). https://doi.org/10.1007/JHEP03(2018)185
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DOI: https://doi.org/10.1007/JHEP03(2018)185