Towards Higgs and $Z$ boson plus jet distributions at NLL/NLO$^+$
Francesco Giovanni Celiberto, Luigi Delle Rose, Michael Fucilla,, Gabriele Gatto, Alessandro Papa

TL;DR
This paper provides advanced predictions for Higgs and Z boson plus jet distributions at the LHC, combining NLO fixed-order calculations with next-to-leading logarithmic resummation to improve precision for Higgs and electroweak physics analyses.
Contribution
It introduces novel combined NLO and NLL calculations for Higgs and Z boson plus jet distributions, extending previous work to include Z boson cases.
Findings
Enhanced accuracy in Higgs and Z boson plus jet predictions.
Highlighting the necessity of improved fixed-order calculations for precision physics.
Progress in extending analysis to Z-boson associated processes.
Abstract
We present novel predictions for rapidity and transverse-momentum distributions sensitive to the emission of a Higgs boson accompanied by a jet in proton collisions, calculated within the NLO fixed order in QCD and matched with the next-to leading energy-logarithmic accuracy. We also highlight first advancements in the extension of our analysis to the -boson case. We come out with the message that the improvement of fixed-order calculations on Higgs- and -boson plus jet distributions is a required step to reach the precision level of the description of observables relevant for Higgs and electroweak physics at current LHC energies and nominal FCC ones.
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