Double Differential High Energy Resummation

TL;DR

This paper develops a comprehensive framework for high energy resummation considering rapidity and transverse momentum, applying it to Higgs production and validating against fixed order calculations up to NNLO.

Contribution

It introduces a general method for leading log high energy resummation with full dependence on rapidity and transverse momentum, applied to Higgs production.

Findings

Derived a high energy resummed expression for Higgs production

Validated results against fixed order NNLO calculations

Confirmed consistency with existing resummation approaches

Abstract

In this paper we study a general framework to perform leading log high energy resummation with complete dependence from the rapidity and the transverse momentum of the studied system. As an application, high energy resummed expression for the Higgs boson production in the effective field theory framework will be derived. Explicit result for this process will be cross-checked against fixed order evaluations up to NNLO. Consistency with known high energy resummation for single differential rapidity or transverse momentum distribution, as well as for inclusive cross section, will also be shown.