https://doi.org/10.1051/epjconf/201817506020
Lattice study of finite volume effect in HVP for muon g-2
1
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: shintani@riken.jp
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
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
