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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