Symplectic lattice gauge theories in the Grid framework: domain wall fermions and continuum extrapolations
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.
Related
- Progress on Sp(4) lattice theories with Grid: Möbius domain wall fermions and continuum extrapolations
- A Note On Lattice Definition of Gauge Theories With Chiral Fermions
- Progress on meson-glueball mixing in lattice gauge theories coupled to fermions in multiple representations
- Symplectic Chern-Simons theories dual to Abelian rank-$0$ theories
- QCD-like theories at next-to-next-to-leading order with NF=2 non-degenerate fermions
BibTeX
@misc{bennett2026symplectic,
title = {{Symplectic lattice gauge theories in the Grid framework: domain wall fermions and continuum extrapolations}},
author = {Ed Bennett and Peter A. Boyle and Luigi Del Debbio and Niccolò Forzano and Ryan C. Hill and Deog Ki Hong and Jong-Wan Lee and C. -J. David Lin and Biagio Lucini and Maurizio Piai and Gianmarco Simonetti and Davide Vadacchino and Alexis Verney-Provatas},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.19930},
eprint = {2609.19930},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.19930},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Symplectic lattice gauge theories in the Grid framework: domain wall fermions and continuum extrapolations
AU - Ed Bennett
AU - Peter A. Boyle
AU - Luigi Del Debbio
AU - Niccolò Forzano
AU - Ryan C. Hill
AU - Deog Ki Hong
AU - Jong-Wan Lee
AU - C. -J. David Lin
AU - Biagio Lucini
AU - Maurizio Piai
AU - Gianmarco Simonetti
AU - Davide Vadacchino
AU - Alexis Verney-Provatas
PY - 2026
DA - 2026/09/17
PB - arXiv
DO - 10.48550/arxiv.2609.19930
UR - https://arxiv.org/abs/2609.19930
AB - 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.
ER -