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

• Published in: The journal of high energy physics Vol. 2018; no. 3; pp. 1 - 70
• Main Authors: Bennett, Ed, Hong, Deog Ki, Lee, Jong-Wan, Lin, C.-J. David, Lucini, Biagio, Piai, Maurizio, Vadacchino, Davide
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-03-2018; Springer Nature B.V; SpringerOpen
• Subjects: Classical and Quantum Gravitation; Computer simulation; Confinement; Elementary Particles; Fermions; Flavor (particle physics); Gauge theory; High energy physics; Lattice Quantum Field Theory; Lattice theory; Mathematical models; Mesons; Phase transitions; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Quenching; Regular Article - Theoretical Physics; Relativity Theory; Spontaneous Symmetry Breaking; String Theory; Vector mesons; Wilson ’t Hooft and Polyakov loops; Yang-Mills theory; Lattice Quantum Field Theory; Wilson ’t Hooft and Polyakov loops; Confinement; Spontaneous Symmetry Breaking
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP03(2018)185

A
bstract
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.