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

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arxiv 2306.06095 v1 pith:LATASEYC submitted 2023-06-09 hep-lat hep-ph

classification hep-lathep-ph
keywords mesontheoryconstantdecaygaugescalarsigmadetermine
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $a_0$.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Dilaton Physics from Asymptotic Freedom

    hep-th 2025-01 conditional novelty 6.0 of 10

    In a large-N 3D Gross-Neveu-Yukawa theory, the endpoint of the conformal window spontaneously breaks scale symmetry, producing a massless dilaton whose decay constant and induced mass obey a universal product formula.

  2. Investigating SU(3) with Nf=8 fundamental fermions at strong renormalized coupling

    hep-lat 2024-12 conditional novelty 6.0 of 10

    Finite-size scaling of lattice data favors a merged fixed point governing the strong-to-weak coupling transition in SU(3) with eight fundamental flavors, suggesting this system sits at the opening of the conformal window.

  3. Naturally resonant two-mediator model of self-interacting dark matter with decoupled relic abundance

    hep-ph 2025-06 conditional novelty 5.0 of 10

    A two-mediator dark matter model with a near-threshold heavy resonance reconciles relic abundance with self-interactions, but a unit conversion error inflates its direct detection signal by a factor of 1000.

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