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

¹ Swansea Academy of Advanced Computing, Swansea University, Singleton Park, Swansea, SA2 8PP, UK
² Department of Physics, Pusan National University, Busan 46241, Korea
³ Extreme Physics Institute, Pusan National University, Busan 46241, Korea
⁴ Institute of Physics, National Chiao-Tung University, Hsinchu 30010, Taiwan
⁵ Department of Mathematics, Swansea University, Singleton Park, Swansea, SA2 8PP, UK
⁶ Department of Physics, Swansea University, Singleton Park, Swansea, SA2 8PP, UK

^* Combined contributions of B. Lucini (e-mail: b.lucini@swansea.ac.uk) and J.-W. Lee (e-mail: wlee823@pusan.ac.kr).

Published online: 26 March 2018

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.