%0 Journal Article
%A Borsanyi, Sz.
%A Fodor, Z.
%A Hoelbling, C.
%A Kawanai, T.
%A Krieg, S.
%A Lellouch, L.
%A Malak, R.
%A Miura, K.
%A Szabo, Kalman
%A Torrero, C.
%A Toth, B. C.
%T Hadronic Vacuum Polarization Contribution to the Anomalous Magnetic Moments of Leptons from First Principles
%J Physical review letters
%V 121
%N 2
%@ 1079-7114
%C College Park, Md.
%I APS
%M FZJ-2018-04420
%P 022002
%D 2018
%X 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.
%F PUB:(DE-HGF)16
%9 Journal Article
%$ pmid:30085700
%U <Go to ISI:>//WOS:000438351300007
%R 10.1103/PhysRevLett.121.022002
%U https://juser.fz-juelich.de/record/850612