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Lattice calculation of the lowest-order hadronic contribution to the muon anomalous magnetic momen

T. Blum
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Abstract

I present quenched domain wall fermion and 2+1 flavor improved Kogut-Susskind fermion calculations of the hadronic vacuum polarization which are used to calculate the ${\cal O}(α^2)$ hadronic contribution to the anomalous magnetic moment of the muon. Together with previous quenched calcuations, the new results confirm that in the quenched theory the hadronic contribution is signifcantly smaller ($\sim 30%$) than the value obtained from the total cross section of $e^+e^-$ annhilation to hadrons. The 2+1 flavor results show an increasing contribution to $g-2$ as the quark mass is reduced.

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T. Blum. 2004-11-02. Lattice calculation of the lowest-order hadronic contribution to the muon anomalous magnetic momen. https://doi.org/10.1016/j.nuclphysbps.2004.11.175

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