We compute the leading, strong-interaction contribution to the anomalous magnetic moment of the electron, muon and tau using lattice quantum chromodynamics (QCD) simulations. Calculations include the effects of $u$, $d$, $s$ and $c$ quarks and are performed directly at the physical values of the quark masses and in volumes of linear extent larger than $6\,\mathrm{ fm}$. All connected and disconnected Wick contractions are calculated. Continuum limits are carried out using six lattice spacings. We obtain $a_e^\mathrm{ LO-HVP}=189.3(2.6)(5.6)\times 10^{ -14}$, $a_\mu^\mathrm{ LO-HVP}=711.1(7.5)(17.4)\times 10^{ -10}$ and $a_\tau^\mathrm{ LO-HVP}=341.0(0.8)(3.2)\times 10^{ -8}$, where the first error is statistical and the second is systematic.
Categories: hep-lat hep-ph