Sp(4) gauge theory on the lattice: towards SU(4)/Sp(4) composite Higgs (and beyond)

• Main Authors: Ed Bennett, Deog Ki Hong, Jong-Wan Lee, C.-J. David Lin, Biagio Lucini, Maurizio Piai, Davide Vadacchino
• Format: Article
• Language: English
• Published: SpringerOpen 2018-03-01
• Series: Journal of High Energy Physics
• Subjects: Lattice Quantum Field Theory; Confinement; Spontaneous Symmetry Breaking; Wilson ’t Hooft and Polyakov loops
• Online Access: http://link.springer.com/article/10.1007/JHEP03(2018)185

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.