Lattice studies of Sp(2N) gauge theories using GRID

TL;DR

This paper reports on the implementation and initial testing of lattice simulations for Sp(2N) gauge theories, specifically Sp(4), using the Grid framework to facilitate studies relevant for new physics models.

Contribution

First implementation of Sp(2N) gauge theories in Grid, enabling quantitative lattice studies of these theories for phenomenological applications.

Findings

Successful implementation of Sp(4) gauge theory with Wilson-Dirac fermions

Preliminary tests demonstrating the framework's functionalities

Initial results indicating the viability of the approach

Abstract

Four-dimensional gauge theories based on symplectic Lie groups provide elegant realisations of the microscopic origin of several new physics models. Numerical studies pursued on the lattice provide quantitative information necessary for phenomenological applications. To this purpose, we implemented Sp(2N) gauge theories using Monte Carlo techniques within Grid, a performant framework designed for the numerical study of quantum field theories on the lattice. We show the first results obtained using this library, focusing on the case-study provided by the Sp(4) theory coupled to Nas = 4 Wilson-Dirac fermions transforming in the 2-index antisymmetric representation. In particular, we discuss preliminary tests of the algorithm and we test some of its main functionalities.