Finite-volume corrections to the leading-order hadronic contribution to $g_{\mu }-2$

Abstract

We present preliminary results of a 2+1-flavor study of finite-volume effects in the lattice QCD computation of the leading-order hadronic contribution to the muon anomalous magnetic moment. We also present methods for obtaining directly the invariant hadronic polarization function, $\Pi (Q^2)$, and the Adler function at all discrete lattice values of $Q^2$, including $Q^2=0$. Results are obtained with HEX-smeared clover fermions.

arXiv comment7 pages, 2 figures, Contribution to the Proceedings of the 32nd International Symposium on Lattice Field Theory (Lattice 2014), 23-28 June 2014, Columbia University, New York, NY, USA

References in corpus (2)

• Ab initio calculation of the neutron-proton mass difference
• The New Muon g-2 experiment at Fermilab

Cited by in corpus (8)

• Hadronic vacuum polarization contribution to the anomalous magnetic moments of leptons from first principles
• The hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Lattice QCD and the anomalous magnetic moment of the muon
• Muon g-2 estimates : Can one trust Effective Lagrangians and global fits ?
• Finite-volume effects in the muon anomalous magnetic moment on the lattice
• Hadronic vacuum polarization and muon g-2 from magnetic susceptibilities on the lattice
• Leading hadronic contributions to the running of the electroweak coupling constants from lattice QCD
• Position space method for the nucleon magnetic moment in lattice QCD