Lattice calculation of hadronic tensor of the nucleon

TL;DR

This paper explores calculating nucleon structure functions using lattice QCD by reconstructing the hadronic tensor through an inverse Laplace transform, employing the Backus-Gilbert method for analytic continuation.

Contribution

It introduces a novel approach to compute deep inelastic scattering structure functions from lattice data using the Backus-Gilbert reconstruction method.

Findings

Successful application of the Backus-Gilbert method to lattice data

Demonstration of the feasibility of extracting structure functions

Potential for improved understanding of nucleon structure

Abstract

We report an attempt to calculate the deep inelastic scattering structure functions from the hadronic tensor calculated on the lattice. We used the Backus-Gilbert reconstruction method to address the inverse Laplace transformation for the analytic continuation from the Euclidean to the Minkowski space.