On the mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations

Zierler, Fabian; Bennett, Ed; Piai, Maurizio; Forzano, Niccolo; Lucini, Biagio; Hong, Deog Ki; Hsiao, Ho; Lee, Jong-Wan; Lin, C.-J. David; Vadacchino, Davide

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On the mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations

Fabian Zierler, Ed Bennett

, Maurizio Piai

, Niccolo Forzano, Biagio Lucini

, Deog Ki Hong

, Ho Hsiao

, Jong-Wan Lee

, C.-J. David Lin

, Davide Vadacchino

Physical Review D

Swansea University Authors: Fabian Zierler, Ed Bennett , Maurizio Piai , Niccolo Forzano, Biagio Lucini

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Abstract

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 o...

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Published in:	Physical Review D
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first_indexed	2024-09-11T07:42:40Z
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spelling	v2 67646 2024-09-11 On the mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations 7eb526fdce1693fc0b79f33e74cc182d Fabian Zierler Fabian Zierler true false e1a8e7927d2b093acdc54e74eac95e38 0000-0002-1678-6701 Ed Bennett Ed Bennett true false 3ce295f2c7cc318bac7da18f9989d8c3 0000-0002-2251-0111 Maurizio Piai Maurizio Piai true false e60be1aa4478b6e530f4bdf6c1cf9857 Niccolo Forzano Niccolo Forzano true false 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2024-09-11 BGPS 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 ⁢⁡(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. Journal Article Physical Review D 0 0 0 0001-01-01 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University Not Required 2024-09-13T21:46:28.4948165 2024-09-11T08:32:49.1223742 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Fabian Zierler 1 Ed Bennett 0000-0002-1678-6701 2 Maurizio Piai 0000-0002-2251-0111 3 Niccolo Forzano 4 Biagio Lucini 0000-0001-8974-8266 5 Deog Ki Hong 0000-0002-3923-4184 6 Ho Hsiao 0000-0002-8522-5190 7 Jong-Wan Lee 0000-0002-4616-2422 8 C.-J. David Lin 0000-0003-3743-0840 9 Davide Vadacchino 0000-0002-5783-5602 10 67646__31338__6c36783c13684892b56515b7e608c2ce.pdf 2405.05765v2.pdf 2024-09-13T18:50:30.8794780 Output 959127 application/pdf Accepted Manuscript true false 268 Ed Bennett 0000-0002-1678-6701 E.J.Bennett@swansea.ac.uk true 10.5281/zenodo.13349269 false 271 Ed Bennett 0000-0002-1678-6701 E.J.Bennett@swansea.ac.uk true 10.5281/zenodo.13349298 false
title	On the mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations
spellingShingle	On the mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations Fabian Zierler Ed Bennett Maurizio Piai Niccolo Forzano Biagio Lucini
title_short	On the mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations
title_full	On the mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations
title_fullStr	On the mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations
title_full_unstemmed	On the mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations
title_sort	On the mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations
author_id_str_mv	7eb526fdce1693fc0b79f33e74cc182d e1a8e7927d2b093acdc54e74eac95e38 3ce295f2c7cc318bac7da18f9989d8c3 e60be1aa4478b6e530f4bdf6c1cf9857 7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv	7eb526fdce1693fc0b79f33e74cc182d_*_Fabian Zierler e1a8e7927d2b093acdc54e74eac95e38__Ed Bennett 3ce295f2c7cc318bac7da18f9989d8c3__Maurizio Piai e60be1aa4478b6e530f4bdf6c1cf9857__Niccolo Forzano 7e6fcfe060e07a351090e2a8aba363cf_**_Biagio Lucini
author	Fabian Zierler Ed Bennett Maurizio Piai Niccolo Forzano Biagio Lucini
author2	Fabian Zierler Ed Bennett Maurizio Piai Niccolo Forzano Biagio Lucini Deog Ki Hong Ho Hsiao Jong-Wan Lee C.-J. David Lin Davide Vadacchino
format	Journal article
container_title	Physical Review D
institution	Swansea University
college_str	Faculty of Science and Engineering
hierarchytype
hierarchy_top_id	facultyofscienceandengineering
hierarchy_top_title	Faculty of Science and Engineering
hierarchy_parent_id	facultyofscienceandengineering
hierarchy_parent_title	Faculty of Science and Engineering
department_str	School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str	1
active_str	0
description	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 ⁢⁡(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.
published_date	0001-01-01T21:46:29Z
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score	11.028798

On the mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations

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