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We compute the leading, strong-interaction contribution to the anomalous magnetic moment of the electron, muon and tau using lattice quantum chromodynamics (QCD) simulations.
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This analysis yields a value of w 0 w_{0} which is compatible with the value used by HPQCD in Chakraborty et al. 2017 , w 0 = 0.1715 ( 9 ) fm w_{0}=0.1715(9)\mathrm{fm} Dowdall et al. 2013 , within less than one combined standard deviation. Thus, the origin of the tension with HPQCD on a μ , u d LO-HVP a_{\mu,ud}^{\text{LO-HVP}} , discussed in Sec. X of the SM, cannot attributed to a different value of w 0 w_{0} . In fact, this is confirmed by our excellent agreement with HPQCD on the connected strange and charm contributions to the HVP, which have the same sensitivity to lattice spacing as a μ , u d LO-HVP a_{\mu,ud}^{\text{LO-HVP}} . The reporting of a complete analysis of w 0 w_{0} is left for a future publication
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