Lattice investigations of the chimera baryon spectrum in the Sp(4) gauge theory
| Autor: | Bennett, Ed, Hong, Deog Ki, Hsiao, Ho, Lee, Jong-Wan, Lin, C. -J. David, Lucini, Biagio, Piai, Maurizio, Vadacchino, Davide |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 $\Lambda_{\rm CB}$, $\Sigma_{\rm CB}$ (both with spin 1/2), and $\Sigma_{\rm CB}^\ast$(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 $\Sigma_{\mathrm{CB}}$ is not heavier than $\Lambda_{\mathrm{CB}}$. Comment: 36 pages, 12 figures, 19 tables; minor improvements and corrections; aligning numbers in Data release; version accepted for publication in PRD |
| Databáze: | arXiv |
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