DIS structure functions in the NLO approximation of the Parton Reggeization Approach

TL;DR

This paper discusses next-to-leading order calculations of structure functions in Deep Inelastic Scattering within the Parton Reggeization Approach, resolving double counting issues and matching with collinear factorization.

Contribution

It introduces a consistent NLO calculation framework in the Parton Reggeization Approach that aligns with standard collinear PDFs and addresses double counting.

Findings

Resolved double counting between LO and NLO contributions.

Established matching procedure with collinear Parton Model results.

Demonstrated compatibility with $ar{MS}$-scheme PDFs.

Abstract

The main ideas of the NLO calculations in Parton Reggeization Approach are illustrated on the example of the simplest NLO subprocess, which contributes to DIS: $\gamma^\star+R\to q + \bar{q}$. The double counting with the LO contribution $\gamma^\star + Q \to q$ is resolved. The problem of matching of the NLO results for single-scale observables in the Parton Reggeization Approach on the corresponding NLO results in the Collinear Parton Model is considered. In the developed framework, the usual NLO PDFs in the $\overline{MS}$-scheme can be consistently used as the collinear input for the NLO calculation in the Parton Reggeization Approach.