Light Scalar Meson and Decay Constant in SU(3) Gauge Theory with Eight Dynamical Flavors



Collaboration, Lattice Strong Dynamics, Brower, RC, Owen, E, Rebbi, C, Culver, C, Schaich, D ORCID: 0000-0002-9826-2951, Cushman, KK, Fleming, GT, Gasbarro, A, Hasenfratz, A
et al (show 8 more authors) (2023) Light Scalar Meson and Decay Constant in SU(3) Gauge Theory with Eight Dynamical Flavors. [Preprint]

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Abstract

The SU(3) gauge theory with $N_f=8$ nearly massless Dirac fermions has long been of theoretical and phenomenological interest due to the near-conformality arising from its proximity to the conformal window. One particularly interesting feature is the emergence of a relatively light, stable flavor-singlet scalar meson $\sigma$ $(J^{PC}=0^{++})$ in contrast to the $N_f=2$ theory QCD. In this work, we study the finite-volume dependence of the $\sigma$ meson correlation function computed in lattice gauge theory and determine the $\sigma$ meson mass and decay constant extrapolated to the infinite-volume limit. We also determine the infinite volume mass and decay constant of the flavor-nonsinglet scalar meson $a_0$.

Item Type: Preprint
Additional Information: 36 pages, 11 figures, supplementary data in zenodo https://dx.doi.org/10.5281/zenodo.8007955
Uncontrolled Keywords: hep-lat, hep-lat, hep-ph
Divisions: Faculty of Science and Engineering > School of Physical Sciences
Depositing User: Symplectic Admin
Date Deposited: 17 Jul 2023 14:02
Last Modified: 15 Mar 2024 15:49
DOI: 10.48550/arxiv.2306.06095
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3171735