TY - UNPB
T1 - On the mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations
AU - Bennett, Ed
AU - Forzano, Niccolò
AU - Hong, Deog Ki
AU - Hsiao, Ho
AU - Lee, J-W
AU - Lin, C.-J. David
AU - Lucini, Biagio
AU - Piai, Maurizio
AU - Vadacchino, Davide
AU - Zierler, Fabian
PY - 2024/5/9
Y1 - 2024/5/9
N2 - We provide the first extensive, numerical study of the non-trivial problem of mixing between flavor-singlet composite states emerging in strongly coupled lattice field theories with matter field content consisting of fermions transforming in different representations of the gauge group. The theory of interest is the minimal candidate for a composite Higgs model that also accommodates a mechanism for top partial compositeness: the $Sp(4)$ gauge theory coupled to two (Dirac) fermions transforming as the fundamental and three as the two-index antisymmetric representation of the gauge group, respectively. We apply an admixture of APE and Wuppertal smearings, as well as the generalized eigenvalue problem approach, to two-point functions involving flavor-singlet mesons, for ensembles having time extent longer than the space extent. We demonstrate that, in the region of lattice parameter space accessible to this study, both masses and mixing angles can be measured effectively, despite the presence of (numerically noisy) contributions from disconnected diagrams.
AB - We provide the first extensive, numerical study of the non-trivial problem of mixing between flavor-singlet composite states emerging in strongly coupled lattice field theories with matter field content consisting of fermions transforming in different representations of the gauge group. The theory of interest is the minimal candidate for a composite Higgs model that also accommodates a mechanism for top partial compositeness: the $Sp(4)$ gauge theory coupled to two (Dirac) fermions transforming as the fundamental and three as the two-index antisymmetric representation of the gauge group, respectively. We apply an admixture of APE and Wuppertal smearings, as well as the generalized eigenvalue problem approach, to two-point functions involving flavor-singlet mesons, for ensembles having time extent longer than the space extent. We demonstrate that, in the region of lattice parameter space accessible to this study, both masses and mixing angles can be measured effectively, despite the presence of (numerically noisy) contributions from disconnected diagrams.
U2 - 10.48550/arxiv.2405.05765
DO - 10.48550/arxiv.2405.05765
M3 - Preprint
BT - On the mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations
ER -