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arxiv: 1711.04980 · v2 · pith:AJJIDNUWnew · submitted 2017-11-14 · ✦ hep-lat · hep-ph

Hadronic vacuum polarization contribution to the anomalous magnetic moments of leptons from first principles

Budapest-Marseille-Wuppertal collaboration: Sz. Borsanyi , Z. Fodor , C. Hoelbling , T. Kawanai , S. Krieg , L. Lellouch , R. Malak , K. Miura
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K. K. Szabo C. Torrero B. C. Toth
This is my paper
classification ✦ hep-lat hep-ph
keywords mathrmlo-hvptimesanomalouscontributionfirstlatticemagnetic
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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. 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.

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