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Four-Flavour Leading Hadronic Contribution To The Muon Anomalous Magnetic Moment

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(Aug 20, 2013)

Abstract

We present a four-flavour lattice calculation of the leading-order hadronic vacuum polarisation contribution to the anomalous magnetic moment of the muon, \$a\_\mu^hvp\$, arising from quark-connected Feynman graphs. It is based on ensembles featuring \$N\_f=2+1+1\$ dynamical twisted mass fermions generated by the European Twisted Mass Collaboration (ETMC). Several light quark masses are used in order to yield a controlled extrapolation to the physical pion mass. We employ three lattice spacings to examine lattice artefacts and several different volumes to check for finite-size effects. Including the complete first two generations of quarks allows for a direct comparison with phenomenological determinations of \$a\_\mu^hvp\$. Our final result involving an estimate of the systematic uncertainty \$\$a\_\mu^\rm hvp = 6.74(21)(18) 10^-8\$\$ shows a good overall agreement with these computations.

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