Transverse Momentum Resummation for Dijet Correlation in Hadronic Collisions

TL;DR

This paper develops a detailed transverse momentum resummation framework for dijet correlations in hadronic collisions, employing the Collins-Soper-Sterman formalism and performing complete one-loop calculations.

Contribution

It provides the first complete one-loop calculation of dijet transverse momentum resummation within the collinear factorization framework, including all relevant logarithms and soft divergence cancellations.

Findings

Soft divergences cancel between diagrams, confirming theoretical consistency.

Leading and sub-leading logarithms are explicitly identified.

Resummation formulas are derived and applied to phenomenology.

Abstract

We study the transverse momentum resummation for dijet correlation in hadron collisions based on the Collins-Soper-Sterman formalism. The complete one-loop calculations are carried out in the collinear factorization framework for the differential cross sections at low imbalance transverse momentum between the two jets. Important cross checks are performed to demonstrate that the soft divergences cancelled out between different diagrams, and in particular, those associated with final state jets. The leading and sub-leading logarithms are identified. All order resummation is derived following the transverse momentum dependent factorization at this order. Its phenomenological applications are also presented.