Finite-volume correction on the hadronic vacuum polarization contribution to the muon g?2 in lattice QCD

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Abstract

We study the finite-volume correction on the hadronic vacuum polarization contribution to the muon g?2 (ahvpμ) in lattice QCD at (near) physical pion mass using two different volumes: (5.4??fm)4 and (8.1??fm)4. We use an optimized AMA technique for noise reduction on Nf=2+1 PACS gauge configurations with stout-smeared clover-Wilson fermion action and Iwasaki gauge action at a single lattice cut-off a?1=2.33??GeV. The calculation is performed for the quark-connected light-quark contribution in the isospin symmetric limit. We take into account the effects of backward state propagation by extending a temporal boundary condition. In addition, we study a quark-mass correction to tune to the exact same physical pion mass on different volume and compare those correction with chiral perturbation. We find 10(26)×10?10 difference for light quark ahvpμ between (5.4??fm)4 and (8.1??fm)4 lattice in 146 MeV pion.

Journal

  • Physical review D

    Physical review D 98 (5), 54505-, 2018-09

    American Physical Society

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