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| Journal Article | PUBDB-2024-07239 |
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2024
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Please use a persistent id in citations: doi:10.1007/JHEP03(2024)172 doi:10.3204/PUBDB-2024-07239
Report No.: CERN-TH-2024-011; MITP-24-011; arXiv:2401.11895
Abstract: We present results for the short-distance window observable of the hadronic vacuum polarization contribution to the muon g – 2, computed via the time-momentum representation (TMR) in lattice QCD. A key novelty of our calculation is the reduction of discretization effects by a suitable subtraction applied to the TMR kernel function, which cancels the leading ${x}_{0}^{4}$-behaviour at short distances. To compensate for the subtraction, one must substitute a term that can be reliably computed in perturbative QCD. We apply this strategy to our data for the vector current collected on ensembles generated with 2 + 1 flavours of O(a)-improved Wilson quarks at six values of the lattice spacing and pion masses in the range 130 – 420 MeV. Our estimate at the physical point contains a full error budget and reads ${\left({a}_{\mu }^{{\text{hvp}}}\right)}^{{\text{SD}}}$ = 68.85(14)$_{stat}$ (42)$_{syst}$·10$^{−10}$, which corresponds to a relative precision of 0.7%. We discuss the implications of our result for the observed tensions between lattice and data-driven evaluations of the hadronic vacuum polarization.
Keyword(s): vacuum polarization: hadronic ; current: vector ; quantum chromodynamics: perturbation theory ; quark: Wilson ; pi: mass ; effect: discrete ; muon ; lattice ; magnetic moment ; lattice field theory ; tension ; flavor ; Hadronic Spectroscopy ; Structure and Interactions ; Lattice QCD
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Preprint
Hadronic vacuum polarization in the muon g − 2: the short-distance contribution from lattice QCD
[10.3204/PUBDB-2025-00411]
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