Light scalar meson and decay constant in SU(3) gauge theory with eight dynamical flavors

Brower, R. C.; Owen, E.; Rebbi, C.; Culver, C.; Schaich, D.; Cushman, K. K.; Fleming, G. T.; Gasbarro, A.; Hasenfratz, A.; Neil, E. T.; Ingoldby, J.; Jin, X. Y.; Osborn, J. C.; Rinaldi, E.; Vranas, P.; Weinberg, E.; Witzel, O.

doi:10.1103/PhysRevD.110.054501

Title: Light scalar meson and decay constant in SU(3) gauge theory with eight dynamical flavors

Journal Article · 04 September 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.110.054501 · OSTI ID:2439636

Brower, R. C.;

;

; Gasbarro, A.;

;

; Weinberg, E.;

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 $σ (J^{P C} = 0^{+ +})$ in contrast to the $N_{f} = 2$ theory QCD. In this work, we study the finite-volume dependence of the $σ$ meson correlation function computed in lattice gauge theory and determine the $σ$ 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 $a_{0}$ . Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0015845; SC0019323; SC0019061; SC0010005; AC52-07NA27344; AC02-06CH11357; AC05-00OR22725

OSTI ID:: 2439636

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 5 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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