The real corrections to the Higgs impact factor at next-to-leading order with finite top mass

TL;DR

This paper calculates the real corrections to the Higgs impact factor at next-to-leading order, maintaining full top-quark mass dependence, and confirms consistency with BFKL factorization and previous infinite-mass results.

Contribution

It provides the first full computation of real corrections with finite top mass for the Higgs impact factor at NLO, aligning with BFKL framework.

Findings

Results match the infinite-top-mass limit

Divergences are properly subtracted within BFKL scheme

The calculation confirms theoretical consistency with known limits

Abstract

This work presents the computation of real corrections to the impact factor for forward Higgs boson production, preserving the full dependence on the top-quark mass. The results are shown to align with the BFKL factorization framework, particularly in reproducing the expected rapidity divergence. Additionally, the subtraction of this divergence has been demonstrated using the appropriate counterterm within the BFKL scheme. In the infinite-top-mass limit, our findings reproduce the previously established result.