High-Precision Scale Setting with the Omega-Baryon Mass and Gradient Flow

2025/09/17 by A. Bazavov, Claude W. Bernard, Bazavov, Alexei +48
Physics and Astronomy · Computer Science · #Quantum Chromodynamics and Particle Interactions #Particle physics theoretical and experimental studies #Computational Physics and Python Applications

paper · pdf · doi:10.48550/arxiv.2509.14367

Abstract

The gradient-flow scale w₀ in lattice QCD is determined using the mass of the Ω^- baryon to set the physical scale. Nine ensembles using the highly improved staggered quark (HISQ) action with lattice spacings of 0.15 fm down to 0.04 fm are used, seven of which have nearly physical light-quark masses. Electromagnetic corrections to the Ω^- mass are defined in order to compute a pure-QCD Ω mass. The final result is w₀ = 0.17187(68) fm, corresponding to a relative uncertainty of 0.40% and a central value in good agreement with previous calculations in the literature.

Citations

• Filtered Rayleigh-Ritz is all you need
• FLAG Review 2024
• High precision calculation of the hadronic vacuum polarisation contribution to the muon anomaly
• Efficient integration of gradient flow in lattice gauge theory and properties of low-storage commutator-free Lie group methods
• An accurate calculation of the nucleon axial charge with lattice QCD

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