Large x Resummation in Q^2 Evolution

TL;DR

This paper improves the solution to the DGLAP equation by resumming large x divergences, reducing theoretical errors across a broad x range with explicit NLO and NLL results.

Contribution

It introduces a resummation technique for large x divergences in DGLAP evolution, enhancing accuracy of the analytic solution.

Findings

Resummation reduces theoretical errors in DGLAP solutions.

Explicit NLO and NLL results are provided.

Numerical analysis shows improved accuracy over a wide x range.

Abstract

The standard analytic solution to the DGLAP equation in Mellin space is improved by resumming the large x divergences. Explicit results are given to next-to-leading order and next-to-leading logarithmic accuracy. Numerically, the theoretical error is found to be reduced by the resummation for a large range of x.