Hadronic vacuum polarization in finite volume using NNLO ChPT

Abstract

We present results for the leading hadronic contribution to the muon $g-2$ from configurations with 2+1+1 flavors of HISQ quarks. The ensembles have been generated by the MILC collaboration at three lattice spacings. Using the time-momentum representation of the electromagnetic current correlator, we calculate the finite volume effects up to next-to-next-to-leading-order in Chiral Perturbation Theory.

arXiv comment7 pages, 3 figures, 2 tables. To appear in the Proceedings of 37th International Symposium on Lattice Field Theory - Lattice2019, 16-22 June 2019, Wuhan, China

References in corpus (7)

• Reevaluation of the Hadronic Contributions to the Muon g-2 and to alpha(MZ)
• Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• Pion and Kaon masses in Staggered Chiral Perturbation Theory
• Hadronic vacuum polarization contribution to the anomalous magnetic moments of leptons from first principles
• Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
• Light quark vacuum polarization at the physical point and contribution to the muon $g-2$
• The light-quark contribution to the leading HVP term of the muon $g-2$ from twisted-mass fermions