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On the double counting subtraction at NLO${}^\star$ of the high-energy factorization approach

A. Chernyshev, V. Saleev

TL;DR

This work addresses double counting in high-energy factorization when incorporating NLO-star corrections by refining the subtraction scheme between real NLO terms and UPDF resummation. The authors introduce a second rapidity-space constraint via an additional theta function to prevent oversubtraction at small rapidity differences, and apply the method to single photon production within the PRA framework. The improved subtraction yields IR-finite results for certain channels and provides a more consistent NLOHEF framework. The approach enhances predictive control over high-energy processes and mitigates a key systematic issue in HEF at NLO-star.

Abstract

We suggest improvements for double counting subtraction scheme, which is needed for the consistent treatment of real corrections in the high-energy limit, and apply it to the single photon production at the NLO${}^\star$ approximation of the high-energy factorization approach. The presented improvements allow us to avoid the oversubtraction problem.

On the double counting subtraction at NLO${}^\star$ of the high-energy factorization approach

TL;DR

This work addresses double counting in high-energy factorization when incorporating NLO-star corrections by refining the subtraction scheme between real NLO terms and UPDF resummation. The authors introduce a second rapidity-space constraint via an additional theta function to prevent oversubtraction at small rapidity differences, and apply the method to single photon production within the PRA framework. The improved subtraction yields IR-finite results for certain channels and provides a more consistent NLOHEF framework. The approach enhances predictive control over high-energy processes and mitigates a key systematic issue in HEF at NLO-star.

Abstract

We suggest improvements for double counting subtraction scheme, which is needed for the consistent treatment of real corrections in the high-energy limit, and apply it to the single photon production at the NLO approximation of the high-energy factorization approach. The presented improvements allow us to avoid the oversubtraction problem.

Paper Structure

This paper contains 3 sections, 11 equations, 2 figures.

Table of Contents

  1. Introduction
  2. HEF
  3. LO, NLO${}^\star$, and double counting subtraction

Figures (2)

  • Figure 1: LO, NLO${}^\star$ and corresponding subtraction terms plotted on the rapidity axis. Blue lines denotes boundaries of forward / backward regions.
  • Figure 2: Cross section as function of $Y$ (a) for (\ref{['eq:NLO1']}) and (b) for (\ref{['eq:NLO2']}). Different contributions are shown: NLO${}^\star$ (black lines) and subtraction terms without / with second factor in Eq. (\ref{['eq:Theta']}) (dotted / dashed blue lines).