Abstract
We report the first lattice QCD calculation of the hadronic vacuum polarization (HVP) disconnected contribution to the muon anomalous magnetic moment at physical pion mass. The calculation uses a refined noise-reduction technique that enables the control of statistical uncertainties at the desired level with modest computational effort. Measurements were performed on the 48^{3}×96 physical-pion-mass lattice generated by the RBC and UKQCD Collaborations. We find the leading-order hadronic vacuum polarization a_{μ}^{HVP(LO)disc}=-9.6(3.3)(2.3)×10^{-10}, where the first error is statistical and the second systematic.
Highlights
We report the first lattice quantum chromodynamics (QCD) calculation of the hadronic vacuum polarization (HVP) disconnected contribution to the muon anomalous magnetic moment at physical pion mass
New physics contributions to al are expected to scale as al − aSlM ∝ ðm2l=Λ2NPÞ for lepton l 1⁄4 e, μ, τ and new physics scale ΛNP
The current standard model (SM) prediction for the hadronic light-by-light (HLBL) contribution [11] is based on a model of quantum chromodynamics (QCD); important progress towards a first-principles computation has been made recently [12,13,14]
Summary
AHμ VP ðLOÞ disc at physical pion mass. We report the result for the combined up, down, and strange-quark contributions. The current SM prediction for the HLBL contribution [11] is based on a model of quantum chromodynamics (QCD); important progress towards a first-principles computation has been made recently [12,13,14]. One of the main challenges in the first-principles computation of the HVP contribution with percent or subpercent uncertainties is the control of statistical noise for the quark-disconnected contribution (see Fig. 1) at physical pion mass. Significant progress has been made recently in the computation of an upper bound [15,16,17], an estimate using lattice QCD data at heavy pion mass [18], and towards a first-principles computation at physical pion mass [19]. We compute Πðq2Þ using the kernel function of Refs. [21,22], Πðq2Þ
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