Lattice study of finite volume effect in HVP for muon g-2
RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, NY 11973, USA.
2 High Energy Theory Group, Brookhaven National Laboratory, Upton, NY 11973, USA.
3 Center for Computational Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan.
4 RIKEN Advanced Institute for Computational Science, Kobe, Hyogo 650-0047, Japan.
* Speaker, e-mail: firstname.lastname@example.org
Published online: 26 March 2018
We study the finite volume effect of the hadronic vacuum polarization contribution to muon g-2, ,in lattice QCD by comparison with two different volumes, L4 = (5.4)4 and (8.1)4 fm4, at physical pion. We perform the lattice computation of highly precise vector-vector current correlator with optimized AMA technique on Nf = 2 + 1 PACS gauge configurations in Wilson-clover fermion and stout smeared gluon action at one lattice cut-off, a−1 = 2.33 GeV. We compare two integrals of , momentum integral and time-slice summation, on the lattice and numerically show that the different size of finite volume effect appears between two methods. We also discuss the effect of backward-state propagation into the result of with the different boundary condition. Our model-independent study suggest that the lattice computation at physical pion is important for correct estimate of finite volume and other lattice systematics in .
© The Authors, published by EDP Sciences, 2018
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