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PreprintCC BY 4.0arXiv

Progress on Sp(4) lattice theories with Grid: Möbius domain wall fermions and continuum extrapolations

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Abstract

We present preliminary results obtained in the first extensive study of the Möbius domain wall fermion (MDWF) lattice formulation of the four-dimensional Sp(4) gauge theory coupled to two dynamical fermions transforming in the fundamental representation. This theory is important for extensions of the Standard Model, as it provides the microscopic origin for both composite Higgs and dark matter models based on the SU(4)/Sp(4) coset. We scan the space of bare lattice parameters, including those entering the MDWF, and monitor spurious effects, such as the residual mass. We identify optimised regions of parameter space in which lattice artefacts affecting the global symmetries of the theory are suppressed. We then perform preliminary measurements of the lightest pseudoscalar and vector meson masses, together with the pseudoscalar decay constant. We demonstrate the potential of the MDWF formulation to enable continuum-limit extrapolations with reduced lattice discretisation effects.

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BibTeX
@misc{simonetti2026progress,
  title = {{Progress on $Sp(4)$ lattice theories with Grid: Möbius domain wall fermions and continuum extrapolations}},
  author = {Gianmarco Simonetti and 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 Davide Vadacchino and Alexis Verney-Provatas},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.37130},
  eprint = {2609.37130},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.37130},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Progress on Sp(4) lattice theories with Grid: Möbius domain wall fermions and continuum extrapolations
AU  - Gianmarco Simonetti
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  - Davide Vadacchino
AU  - Alexis Verney-Provatas
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.37130
UR  - https://arxiv.org/abs/2609.37130
AB  - We present preliminary results obtained in the first extensive study of the Möbius domain wall fermion (MDWF) lattice formulation of the four-dimensional Sp(4) gauge theory coupled to two dynamical fermions transforming in the fundamental representation. This theory is important for extensions of the Standard Model, as it provides the microscopic origin for both composite Higgs and dark matter models based on the SU(4)/Sp(4) coset. We scan the space of bare lattice parameters, including those entering the MDWF, and monitor spurious effects, such as the residual mass. We identify optimised regions of parameter space in which lattice artefacts affecting the global symmetries of the theory are suppressed. We then perform preliminary measurements of the lightest pseudoscalar and vector meson masses, together with the pseudoscalar decay constant. We demonstrate the potential of the MDWF formulation to enable continuum-limit extrapolations with reduced lattice discretisation effects.
ER  -