Vector correlator and scale determination in lattice QCD

Abstract

We implement a proposal made in [arXiv:1107.4388] to determine the lattice spacing by matching the lattice vector correlator at a reference distance scale with the same correlator obtained by a dispersion relation based on the $R$-ratio determined experimentally. We work with the isovector current, requiring a separation of the isovector hadronic final states on the phenomenological side. We also discuss the finite-size effect on the correlator, which must be controlled in order for the method to be applicable.

7 pages, 3 figures with 6 png files

References in corpus (5)

• High-precision scale setting in lattice QCD
• Lattice QCD at the physical point meets SU(2) chiral perturbation theory
• Tests of hadronic vacuum polarization fits for the muon anomalous magnetic moment
• Tests of hadronic vacuum polarization fits for the muon anomalous magnetic moment
• Antiscreening of the Ampere force in QED and QCD plasmas

Cited by in corpus (2)

• Leading hadronic contributions to the running of the electroweak coupling constants from lattice QCD
• Scale setting in lattice QCD