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

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 $\mathcal{O}({\alpha }^2)$ 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.

3 pages. Contribution to the proceedings of Lattice 2004 (Fermilab)

References in corpus (6)

• Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
• Updated Estimate of the Muon Magnetic Moment Using Revised Results from e+e- Annihilation
• Lattice calculation of the lowest order hadronic contribution to the muon anomalous magnetic moment
• Domain wall fermions with improved gauge actions
• Isospin violating effects in e+e- vs. tau measurements of the pion form factor |F_pi|^2 (s)
• Vacuum Polarisation and Hadronic Contribution to muon g-2 from Lattice QCD

Cited by in corpus (3)

• Calculating the hadronic vacuum polarization and leading hadronic contribution to the muon anomalous magnetic moment with improved staggered quarks
• Current Physics Results from Staggered Chiral Perturbation Theory
• On the Time Momentum Representation of Hadronic Vacuum Polarization and ${\mathbf{g}}_{\mathbf{\mu }}-2$