Spectral sum of current correlators from lattice QCD

We propose a method to use lattice QCD to compute the Borel transform of the vacuum polarization function appearing in the Shifman-Vainshtein-Zakharov QCD sum rule. We construct the spectral sum corresponding to the Borel transform from two-point functions computed on the Euclidean lattice. As a proof of principle, we compute the s (s) over bar correlators at three lattice spacings and take the continuum limit. We confirm that the method yields results that are consistent with the operator product expansion in the large Borel mass region. The method provides a ground on which the OPE analyses can be directly compared with nonperturbative lattice computations.

Automated summary

The proposed method utilizes lattice QCD to compute the Borel transform of the vacuum polarization function in the Shifman-Vainshtein-Zakharov QCD sum rule. By constructing the spectral sum corresponding to the Borel transform from two-point functions on the Euclidean lattice, the method is confirmed to be consistent with the operator product expansion in the large Borel mass region. This method provides a basis for direct comparison of OPE analyses with nonperturbative lattice computations.