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Hadronic vacuum polarization in the muon $g-2$: The short-distance contribution from lattice QCD

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arxiv 2401.11895 v1 pith:6AHULXBO submitted 2024-01-22 hep-lat hep-ph

classification hep-lathep-ph
keywords latticehadronicpolarizationvacuumcomputedcontributionmuonshort-distance
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $(a_\mu^{\rm hvp})^{\rm SD}=68.85(14)_{\rm stat}\,(42)_{\rm syst}\cdot10^{-10}$, 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.

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Cited by 6 Pith papers

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    hep-lat 2026-07 accept novelty 6.5 of 10

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  2. Comparison of the hadronic vacuum polarization between hadronic $\tau$-decay data and lattice QCD

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    Lattice QCD and tau-decay dispersive calculations of isospin-one HVP generally agree, except for a significant difference in the 2π−π+π0 four-pion mode contribution to window quantities.

  3. BMW/DMZ calculation of the hadronic vacuum polarisation for the muon magnetic moment

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    A hybrid lattice-QCD plus e+e- data determination of the hadronic vacuum polarisation gives a Standard Model muon g-2 prediction 0.5σ from experiment, at 0.45% precision.

  4. The hadronic contribution to the running of $\alpha$ and the electroweak mixing angle

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    A lattice QCD update computes the high-energy window of the hadronic vacuum polarization for the running of α and sin²θ_W with improved control of discretization errors.

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  6. Run 2/3 measurement of the muon anomalous magnetic moment by the Muon g-2 experiment at Fermilab

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