Toward NNLL Resummation for Hadron Production in Hadronic Collisions

TL;DR

This paper advances threshold resummation techniques in QCD for di-hadron production, incorporating color structure and extending beyond NLL accuracy, leading to more precise cross section predictions with reduced scale dependence.

Contribution

It introduces a method to extend threshold resummation beyond NLL order for hadron production, accounting for color structure in the hard and soft matrices.

Findings

Significant improvement over NLL results in cross section predictions.

Reduced scale dependence of the resummed cross section.

Potential extension of techniques to other hadronic observables.

Abstract

We present results relevant for the extension of threshold resummation beyond the next-to-leading logarithmic (NLL) order for QCD hard-scattering processes. As an example, we consider di-hadron production $H_1 H_2\to h_1 h_2 X$, where the produced pair has a large invariant mass. Taking into account the non-trivial color structure of the partonic hard-scattering process, we determine the hard and soft matrices in color space. In our numerical studies we find a significant improvement compared to previous results at NLL accuracy. In particular, the scale dependence of the resummed cross section is greatly reduced. In addition, we comment on the extension of the techniques developed in this work to other observables relevant for hadronic collisions.