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.
%0 Generic
%1 Burger2013FourFlavour
%A Burger, Florian
%A Feng, Xu
%A Hotzel, Grit
%A Jansen, Karl
%A Petschlies, Marcus
%A Renner, Dru B.
%D 2013
%K g-2
%T Four-Flavour Leading Hadronic Contribution To The Muon Anomalous Magnetic Moment
%U http://arxiv.org/abs/1308.4327
%X 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.
@misc{Burger2013FourFlavour,
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}^{\rm 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}^{\rm hvp}\$. Our final result
involving an estimate of the systematic uncertainty \$\$a\_{\mathrm{\mu}}^{\rm
hvp} = 6.74(21)(18) \cdot 10^{-8}\$\$ shows a good overall agreement with these
computations.},
added-at = {2019-02-23T22:09:48.000+0100},
archiveprefix = {arXiv},
author = {Burger, Florian and Feng, Xu and Hotzel, Grit and Jansen, Karl and Petschlies, Marcus and Renner, Dru B.},
biburl = {https://www.bibsonomy.org/bibtex/2cd9c0fe3bcc1ad649b34cef70f76d128/cmcneile},
citeulike-article-id = {12595872},
citeulike-linkout-0 = {http://arxiv.org/abs/1308.4327},
citeulike-linkout-1 = {http://arxiv.org/pdf/1308.4327},
day = 20,
eprint = {1308.4327},
interhash = {5bc178ee586d15a5f0a267b8c3a06ddc},
intrahash = {cd9c0fe3bcc1ad649b34cef70f76d128},
keywords = {g-2},
month = aug,
posted-at = {2013-08-27 09:51:30},
priority = {2},
timestamp = {2019-02-23T22:15:27.000+0100},
title = {{Four-Flavour Leading Hadronic Contribution To The Muon Anomalous Magnetic Moment}},
url = {http://arxiv.org/abs/1308.4327},
year = 2013
}