Abstract
We use Lipatov’s high energy effective action to determine the next-to-leading order corrections to Higgs production in the forward region within high energy factorization making use of the infinite top mass limit. Our result is based on an explicit calculation of real corrections combined with virtual corrections determined earlier by Nefedov. As a new element we provide a proper definition of the desired next-to-leading order coefficient within the high energy effective action framework, extending a previously proposed prescription. We further propose a subtraction mechanism to achieve for this coefficient a stable cancellation of real and virtual infra-red singularities in the presence of external off-shell legs. Apart from its relevance for direct phenomenological studies, such as high energy resummation of Higgs + jet configurations, our result will be further of use for the study of transverse momentum dependent factorization in the high energy limit.
Highlights
Reliably calculate the production cross section up to next-tonext-to-leading order (NNLO) accuracy [5], complemented with Monte Carlo simulations to describe complete production events including hadronization and detector simulation [6]
In this paper we use on other hand the process of Higgs boson production in the forward direction to advance further the formulation of high energy factorization [7,8] for quantum chromodynamics (QCD) to next-to-leading order (NLO) accuracy
The formalism of high energy factorization was developed in order to resum perturbative contributions to the cross section, enhanced by logarithms in the center-of-mass energy, which are of relevance whenever the center-of-mass energy of the process is much larger than any other scale involved [13,14,15,16]
Summary
In this paper we use on other hand the process of Higgs boson production in the forward direction to advance further the formulation of high energy factorization [7,8] for quantum chromodynamics (QCD) to next-to-leading order (NLO) accuracy. The formalism of high energy factorization was developed in order to resum perturbative contributions to the cross section, enhanced by logarithms in the center-of-mass energy, which are of relevance whenever the center-of-mass energy of the process is much larger than any other scale involved [13,14,15,16] This resummation is applicable when the configuration of the final state is such that at least one of the final state particle is produced in the forward direction, where the logarithmic dependence on the center-of-mass energy translates into large differences in rapidity. A very useful tool to calculate the kT dependent matrix elements, which arise from the aforementioned factorization procedure, is provided by the previously mentioned high energy effective action [9,10] It yields matrix elements for the interaction between conventional QCD fields and reggeized gluon fields, localized in rapidity. Some details of our calculations have been referred to the Appendix A
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