On the spectrum of mesons in quenched $Sp(2N)$ gauge theories

التفاصيل البيبلوغرافية
العنوان: On the spectrum of mesons in quenched $Sp(2N)$ gauge theories
المؤلفون: Bennett, Ed, Holligan, Jack, Hong, Deog Ki, Lee, Jong-Wan, Lin, C. -J. David, Lucini, Biagio, Piai, Maurizio, Vadacchino, Davide
سنة النشر: 2023
المجموعة: High Energy Physics - Lattice
مصطلحات موضوعية: High Energy Physics - Lattice
الوصف: We report the findings of our extensive study of the spectra of flavoured mesons in lattice gauge theories with symplectic gauge group and fermion matter content treated in the quenched approximation. For the $Sp(4)$, $Sp(6)$, and $Sp(8)$ gauge groups, the (Dirac) fermions transform in either the fundamental, or the 2-index, antisymmetric or symmetric, representations. This study sets the stage for future precision calculations with dynamical fermions in the low mass region of lattice parameter space. Our results have potential phenomenological applications ranging from composite Higgs models, to top (partial) compositeness, to dark matter models with composite, strong-coupling dynamical origin. Having adopted the Wilson flow as a scale-setting procedure, we apply Wilson chiral perturbation theory to extract the continuum and massless limits for the observables of interest. The resulting measurements are used to perform a simplified extrapolation to the large-$N$ limit, hence drawing a preliminary connection with gauge theories with unitary groups. We conclude with a brief discussion of the Weinberg sum rules.
Comment: 31 pages, 28 figures, 7 tables. Version accepted for publication
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2312.08465
رقم الأكسشن: edsarx.2312.08465
قاعدة البيانات: arXiv