BFKL and Sudakov Resummation in Higgs Boson Plus Jet Production with Large Rapidity Separation

TL;DR

This paper develops a systematic framework combining BFKL and Sudakov resummations within transverse momentum dependent factorization to improve predictions for Higgs plus jet production with large rapidity gaps at the LHC.

Contribution

It introduces a unified approach to simultaneously resum BFKL and Sudakov logarithms using TMD factorization in Higgs plus jet processes.

Findings

Successful resummation of BFKL and Sudakov logs.

Enhanced theoretical precision for Higgs plus jet predictions.

Framework applicable to other high-energy QCD processes.

Abstract

We investigate the QCD resummation for the Higgs boson plus a high $P_T$ jet production with large rapidity separations in proton-proton collisions at the LHC. The relevant Balitsky-Fadin-Kuraev-Lipatov (BFKL) and Sudakov logs are identified and resummed. In particular, we apply recent developments of the transverse momentum dependent factorization formalism in the impact factors, which provides a systematic framework to incorporate both the BFKL and Sudakov resummations.