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Symplectic lattice gauge theories in the Grid framework: domain wall fermions and continuum extrapolations

Year: 2026
Type: preprint
Abstract: We report the results of the first numerical lattice study using domain-wall fermions in the Sp(4) gauge theory coupled to two flavours of (Dirac) fermions, transforming in the fundamental representation of the gauge group. This theory plays a prominent role in the literature on extensions of the Standard Model with composite dynamics. It provides a short-distance completion for a class of composite Higgs models, or, alternatively, of dark matter models based on the strongly interacting massive particle paradigm. We adopt the Möbius formulation of domain-wall fermions (MDWF), implemented within the Grid software environment. We report the results of extensive tests of the algorithm implementation, and of the optimisation of the choices of algorithmic parameters appearing in the MDWF action. We then measure masses and decay constants of the lightest flavoured mesons in ensembles with moderately large fermion masses and several choices of lattice coupling, and perform an extrapolation to the continuum. We compare our results for the physical observables to published measurements obtained in the same field theory, but derived on the lattice by employing Wilson fermions. We demonstrate that, with the deployment of moderate computational resources, the MDWF formulation can yield order-of-magnitude gains in the approach to the continuum limit, in regions of physical parameter space relevant to phenomenological applications of this theory.
DOI: 10.48550/arxiv.2609.19930
Authors: Bennett, Ed, Boyle, Peter A., Del Debbio, Luigi, Forzano, Niccolò, Hill, Ryan C., Hong, Deog Ki, Lee, Jong-Wan, Lin, C. -J. David, Lucini, Biagio, Piai, Maurizio, Simonetti, Gianmarco, Vadacchino, Davide, Verney-Provatas, Alexis
Institutions: Swansea University, Brookhaven National Laboratory, University of Edinburgh, Pusan National University, Institute for Basic Science, University of Plymouth
Language: English
Open Access status: green
Funders: UK Research and Innovation, European Commission, University of Edinburgh, Swansea University, National Science and Technology Council, Science and Technology Facilities Council
Awards: G1482949933, G1611887104, G2064752020, G3097014641, Amplitudes, Strings and Duality, G360231030, G4702408450, G507991764, Particle Theory at the Higgs Centre, G5501583532, European network for Particle physics, Lattice field theory and Extreme computing, G6222556801, G6638102323, Particle Theory at the Higgs Centre, Lattice investigations of strongly Interacting theories in the Standard Model and beyond., G7409390705, Theoretical Particle Physics and Cosmology, G936984502, STFC Swansea 2022 DTP
OpenAlex ID: W7213611710
Cites: 68
Cited by: 2
Related to: 10