Orateur
Description
Precision physics in the Higgs sector has been one of the main challenges in recent years. The pure fixed-order calculations entering in the collinear factorization framework, which have been pushed up to N3LO, are not able to describe the entire kinematic spectrum. In particular conditions, they must be necessarily supplemented by all-order resummations; for instance, in the so called Regge kinematical region, large energy-type logarithms spoil the perturbative behavior of the series and must be resummed to all orders. This resummation is necessary to describe the inclusive hadroproduction of a forward Higgs in the limit of small Bjorken $x$, as well to study inclusive forward emissions of a Higgs boson in association with a backward identified object. A complete resummation for these processes, at next-to-leading logarithmic (NLL) accuracy, can be achived through the Balitsky-Fadin-Kuraev-Lipatov (BFKL) approach, but it requires the knowledge of the next-to-leading order Higgs impact factor.
In this talk, we discuss a series of recent phenomenological results within a partial NLL/NLO accuracy, as well as the required steps to reach the full NLL/NLO level. They include the analysis of rapidity, azimuthal-angle and transverse-momentum differential rates for the Higgs-plus-jet hadroproduction from LHC to nominal FCC energies, and the charm-plus-Higgs process in (ultra)forward rapidity directions.
