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PreprintCC BY 4.0arXiv

Progress on meson-glueball mixing in lattice gauge theories coupled to fermions in multiple representations

Abstract

We present preliminary results from our numerical lattice investigation of the low-lying flavour-singlet bound states in the Sp(4) gauge theory coupled to fermions transforming in the fundamental and two-index antisymmetric representations. We use the Wilson gauge action and Wilson fermions. We employ the generalized eigenvalue problem (GEVP) method with a basis of smeared glueball and meson interpolating operators. We analyse two high-statistics ensembles with the same lattice coupling and different fermion mass. We study both the scalar and pseudoscalar states. We observe the first evidence for meson-glueball mixing in this theory. We improve upon previous determinations of the energy eigenstates and mixing angles in the flavour-singlet pseudoscalar sector.

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BibTeX
@misc{brito2026progress,
  title = {{Progress on meson-glueball mixing in lattice gauge theories coupled to fermions in multiple representations}},
  author = {Nuno Brito and Ed Bennett and Deog Ki Hong and Jong-Wan Lee and C. -J. David Lin and Biagio Lucini and Maurizio Piai and Davide Vadacchino and Fabian Zierler},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.29861},
  eprint = {2610.29861},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.29861},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Progress on meson-glueball mixing in lattice gauge theories coupled to fermions in multiple representations
AU  - Nuno Brito
AU  - Ed Bennett
AU  - Deog Ki Hong
AU  - Jong-Wan Lee
AU  - C. -J. David Lin
AU  - Biagio Lucini
AU  - Maurizio Piai
AU  - Davide Vadacchino
AU  - Fabian Zierler
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.29861
UR  - https://arxiv.org/abs/2610.29861
AB  - We present preliminary results from our numerical lattice investigation of the low-lying flavour-singlet bound states in the Sp(4) gauge theory coupled to fermions transforming in the fundamental and two-index antisymmetric representations. We use the Wilson gauge action and Wilson fermions. We employ the generalized eigenvalue problem (GEVP) method with a basis of smeared glueball and meson interpolating operators. We analyse two high-statistics ensembles with the same lattice coupling and different fermion mass. We study both the scalar and pseudoscalar states. We observe the first evidence for meson-glueball mixing in this theory. We improve upon previous determinations of the energy eigenstates and mixing angles in the flavour-singlet pseudoscalar sector.
ER  -