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Abstract

We provide the first extensive, numerical study of the nontrivial 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 smearing 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.

Publication Date

2024-10-07

Publication Title

Physical Review D

Volume

110

Issue

7

ISSN

2470-0010

Acceptance Date

2024-09-10

Deposit Date

2024-12-12

Funding

We would like to thank Giacomo Cacciapaglia, Gabriele Ferretti, Thomas Flacke, Anna Hasenfratz, Chulwoo Jung, and Sarada Rajeev, for useful discussions during the “PNU Workshop on Composite Higgs: Lattice study and all,” at Haeundae, Busan, in February 2024, where preliminary results of this study were presented. The work of E. B. and B. L. is supported in part by the EPSRC ExCALIBUR programme ExaTEPP (Project No. EP/X017168/1). The work of E. B., B. L., M. P., and F. Z. has been supported by the STFC Consolidated Grant No. ST/X000648/1. The work of E. B. has also been supported by the UKRI Science and Technology Facilities Council (STFC) Research Software Engineering Fellowship No. EP/V052489/1. The work of N. F. has been supported by the STFC Doctoral Partnership Grant No. ST/X508834/1. The work of D. K. H. was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1D1A1B06033701). The work of D. K. H. was further supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2021R1A4A5031460). The work of J. W. L. is supported by IBS under the Project Code, No. IBS-R018-D1. The work of H. H. and C. J. D. L. is supported by the Taiwanese MoST Grant No. 109-2112-M-009-006-MY3 and NSTC Grant No. 112-2112-M-A49-021-MY3. The work of C. J. D. L. is also supported by Taiwanese National Science and Technology Council (NSTC) Grants No. 112-2639-M-002-006-ASP and No. 113-2119-M-007-013. The work of B. L. and M. P. has been further supported in part by the STFC Consolidated Grant No. ST/T000813/1. B. L. and M. P. received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program under Grant Agreement No. 813942. The work of D. V. is supported by STFC under Consolidated Grant No. ST/X000680/1. Numerical simulations have been performed on the DiRAC Extreme Scaling service at the University of Edinburgh, and on the DiRAC Data Intensive service at Leicester. The DiRAC Extreme Scaling service is operated by the Edinburgh Parallel Computing Centre on behalf of the STFC DiRAC HPC Facility (www.dirac.ac.uk). This equipment was funded by BEIS capital funding via STFC capital Grant No. ST/R00238X/1 and STFC DiRAC Operations Grant No. ST/R001006/1. DiRAC is part of the National e-Infrastructure.

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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