Vector two-point functions in finite volume using partially quenched chiral perturbation theory

Abstract

We calculate vector-vector correlation functions at two loops using partially quenched chiral perturbation theory including finite volume effects and twisted boundary conditions. We present expressions for the flavor neutral cases and the flavor charged case with equal masses. Using these expressions we give an estimate for the ratio of disconnected to connected contributions for the strange part of the electromagnetic current. We give numerical examples for the effects of partial quenching, finite volume and twisting and suggest the use of different twists to check the size of finite volume effects. The main use of this work is expected to be for lattice QCD calculations of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment.

31 pages, some sentences added regarding partial twisting, reformatted equations in appendix to make them more legible

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Cited by in corpus (19)

• The anomalous magnetic moment of the muon in the Standard Model
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• Window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• The anomalous magnetic moment of the muon in the Standard Model: an update
• Light quark vacuum polarization at the physical point and contribution to the muon $g-2$
• 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
• Light-quark connected intermediate-window contributions to the muon $g-2$ hadronic vacuum polarization from lattice QCD
• Lattice QCD and the anomalous magnetic moment of the muon
• The light-quark contribution to the leading HVP term of the muon $g-2$ from twisted-mass fermions
• The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD
• The muon anomalous magnetic moment with staggered fermions: is the lattice spacing small enough?
• Finite-volume effects in $(g-2{)}_{\mu }^{\text{HVP,LO}}$
• The anomalous magnetic moment of the muon: status of Lattice QCD calculations
• Finite-volume and thermal effects in the leading-HVP contribution to muonic $(g-2)$
• On the application of Effective Field Theory to finite-volume effects in $a_{\mu }^{\mathrm{HVP}}$
• Muon $g-2$: Lattice calculations of the hadronic vacuum polarization
• Finite-volume correction on the hadronic vacuum polarization contribution to muon g-2 in lattice QCD
• Hadronic vacuum polarization to three loops in chiral perturbation theory