Lattice investigations of the chimera baryon spectrum in the Sp(4) gauge theory
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arXiv
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2023
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| author | Bennett, Ed Hong, Deog Ki Hsiao, Ho Lee, Jong-Wan Lin, C. -J. David Lucini, Biagio Piai, Maurizio Vadacchino, Davide |
| author_facet | Bennett, Ed Hong, Deog Ki Hsiao, Ho Lee, Jong-Wan Lin, C. -J. David Lucini, Biagio Piai, Maurizio Vadacchino, Davide |
| contents | We report the results of lattice numerical studies of the Sp(4) gauge theory coupled to fermions (hyperquarks) transforming in the fundamental and two-index antisymmetric representations of the gauge group. This strongly-coupled theory is the minimal candidate for the ultraviolet completion of composite Higgs models that facilitate the mechanism of partial compositeness for generating the top-quark mass. We measure the spectrum of the low-lying, half-integer spin, bound states composed of two fundamental and one antisymmetric hyperquarks, dubbed chimera baryons, in the quenched approximation. In this first systematic, non-perturbative study, we focus on the three lightest parity-even chimera-baryon states, in analogy with QCD, denoted as $Λ_{\rm CB}$, $Σ_{\rm CB}$ (both with spin 1/2), and $Σ_{\rm CB}^\ast$(with spin 3/2). The spin-1/2 such states are candidates of the top partners. The extrapolation of our results to the continuum and massless-hyperquark limit is performed using formulae inspired by QCD heavy-baryon Wilson chiral perturbation theory. Within the range of hyperquark masses in our simulations, we find that $Σ_{\mathrm{CB}}$ is not heavier than $Λ_{\mathrm{CB}}$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2311_14663 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Lattice investigations of the chimera baryon spectrum in the Sp(4) gauge theory Bennett, Ed Hong, Deog Ki Hsiao, Ho Lee, Jong-Wan Lin, C. -J. David Lucini, Biagio Piai, Maurizio Vadacchino, Davide High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory We report the results of lattice numerical studies of the Sp(4) gauge theory coupled to fermions (hyperquarks) transforming in the fundamental and two-index antisymmetric representations of the gauge group. This strongly-coupled theory is the minimal candidate for the ultraviolet completion of composite Higgs models that facilitate the mechanism of partial compositeness for generating the top-quark mass. We measure the spectrum of the low-lying, half-integer spin, bound states composed of two fundamental and one antisymmetric hyperquarks, dubbed chimera baryons, in the quenched approximation. In this first systematic, non-perturbative study, we focus on the three lightest parity-even chimera-baryon states, in analogy with QCD, denoted as $Λ_{\rm CB}$, $Σ_{\rm CB}$ (both with spin 1/2), and $Σ_{\rm CB}^\ast$(with spin 3/2). The spin-1/2 such states are candidates of the top partners. The extrapolation of our results to the continuum and massless-hyperquark limit is performed using formulae inspired by QCD heavy-baryon Wilson chiral perturbation theory. Within the range of hyperquark masses in our simulations, we find that $Σ_{\mathrm{CB}}$ is not heavier than $Λ_{\mathrm{CB}}$. |
| title | Lattice investigations of the chimera baryon spectrum in the Sp(4) gauge theory |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2311.14663 |