Hadronic vacuum polarization contribution to the muon g?2 with (2+1)-flavor lattice QCD on a larger than (10??fm)4 lattice at the physical point

摘要

We study systematic uncertainties in the lattice QCD computation of the hadronic vacuum polarization (HVP) contribution to the muon g ? 2 . We investigate three systematic effects: the finite volume (FV) effect, the cutoff effect, and integration scheme dependence. We evaluate the FV effect at the physical pion mass on two different volumes of ( 5.4 ? ? fm ) 4 and ( 10.8 ? ? fm ) 4 using the PACS10 configurations at the same cutoff scale. For the cutoff effect, we compare two types of lattice vector operators, which are local and conserved (point-splitting) currents, by varying the cutoff scale on a larger than ( 10 ? ? fm ) 4 lattice at the physical point. For the integration scheme dependence, we compare the results between the coordinate- and momentum-space integration schemes at the physical point on a ( 10.8 ? ? fm ) 4 lattice. Our result for the HVP contribution to the muon g ? 2 is given by a μ hvp = 737 ( 9 ) ( ? ? 18 + 13 ) × 10 ? 10 in the continuum limit, where the first error is statistical and the second one is systematic.