A high-precision continuum limit study of the HVP short-distance window

2024/10/22 by Sebastian Spiegel, Christoph Lehner, Spiegel, Sebastian +1 · 3 citations
Engineering · #Computational Fluid Dynamics and Aerodynamics #Power System Optimization and Stability #Real-time simulation and control systems

paper · pdf · doi:10.48550/arxiv.2410.17053

Abstract

The separation of the hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment into Euclidean windows allows for a tailored approach to address the different dominant challenges at short, intermediate, and long distances. We present a novel approach to compute the short-distance window without the need for using perturbative QCD. We combine a quenched continuum extrapolation using 18 lattice spacings (1.6 GeV \lesssim a^-1 \lesssim 6.1 GeV) with a separate continuum extrapolation of the sea-quark effects. This method allows for the computationally expensive sea-quark effects to be estimated using only a smaller number of ensembles at coarser lattice spacings, while largely confining the logarithmic dependency of the continuum extrapolation to the quenched component.

Cited by

• Hadronic contributions to a_μ within Resonance Chiral Theory
• Perturbative QCD below charm threshold: theory and tensions with e⁺e^- data
• Vectorlike lepton imprints at lepton g-2 measurements and e⁺e^- colliders

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