One-loop gauge invariant amplitudes with a space-like gluon

TL;DR

This paper computes virtual contributions for space-like one-jet processes using the auxiliary parton method, aiding high-precision small x physics predictions and confirming a recent conjecture to bridge leading and NLO calculations.

Contribution

It provides explicit one-loop gauge invariant amplitude calculations for space-like gluons, confirming a conjecture and enhancing the precision of small x physics within the hybrid k_T-factorization scheme.

Findings

Explicit virtual contributions for key processes computed.

Results confirm the conjecture in Ref. \\cite{vanHameren:2022mtk}.

Bridges gap between lowest order and NLO calculations.

Abstract

Nowadays the particle physics has entered an era where high precision calculations are required in order to compare the theoretical predictions with the experimental data. In this paper, we explicitly compute the virtual contributions for the space-like one-jet processes, $\procgg,\procqq,\procH$ and $\procee$ within the auxiliary parton method. Our results, which are expected to play an important role in high precision description of small $x$ physics, explicitly confirm the conjecture developed in Ref. \cite{vanHameren:2022mtk}, thus helping to bridge the gap between lowest order calculations and NLO corrections within hybrid $k_T$-factorization scheme.