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Matching NLL to NLO in Higgs and Z plus jet at the LHC and FCC

Francesco Giovanni Celiberto, Luigi Delle Rose, Alessandro Papa

TL;DR

The paper addresses the precision challenge of Higgs- and Z-boson production in semi-hard LHC/FCC kinematics by merging fixed-order NLO QCD with high-energy NLL resummation within the HyF framework. It introduces the POWHEG+JETHAD matching, which combines NLO fixed-order matrix elements with the NLL resummation and subtracts the NLL^- expansion to avoid double counting, achieving $NLL/NLO^-$ accuracy and aiming for full $NLL/NLO^+$ in the future. For Higgs-plus-jet, predictions at 14 TeV and 100 TeV show resummation-enhanced $ΔY$ spectra and substantial corrections to the $p_H$ distribution near its peak (30–50%), with reduced tension between resummed and fixed-order results after matching; the study also reports preliminary Z-boson results and outlines extensions toward full NLO Higgs emission and heavy-quark-mass effects. The work sets the stage for precision forward electroweak studies at current and future colliders and provides a concrete path to higher-accuracy predictions in semi-hard, large-rapidity-gap processes.

Abstract

We present updated predictions for rapidity and transverse-momentum spectra in Higgs-plus-jet production at proton colliders, combining NLO fixed-order QCD with next-to-leading energy-logarithmic resummation. Preliminary results for the $Z$-boson case are also discussed. Our study underscores the importance of improving fixed-order predictions for Higgs- and $Z$-plus-jet observables to meet the precision demands of Higgs and electroweak measurements at the LHC and future FCC energies.

Matching NLL to NLO in Higgs and Z plus jet at the LHC and FCC

TL;DR

The paper addresses the precision challenge of Higgs- and Z-boson production in semi-hard LHC/FCC kinematics by merging fixed-order NLO QCD with high-energy NLL resummation within the HyF framework. It introduces the POWHEG+JETHAD matching, which combines NLO fixed-order matrix elements with the NLL resummation and subtracts the NLL^- expansion to avoid double counting, achieving accuracy and aiming for full in the future. For Higgs-plus-jet, predictions at 14 TeV and 100 TeV show resummation-enhanced spectra and substantial corrections to the distribution near its peak (30–50%), with reduced tension between resummed and fixed-order results after matching; the study also reports preliminary Z-boson results and outlines extensions toward full NLO Higgs emission and heavy-quark-mass effects. The work sets the stage for precision forward electroweak studies at current and future colliders and provides a concrete path to higher-accuracy predictions in semi-hard, large-rapidity-gap processes.

Abstract

We present updated predictions for rapidity and transverse-momentum spectra in Higgs-plus-jet production at proton colliders, combining NLO fixed-order QCD with next-to-leading energy-logarithmic resummation. Preliminary results for the -boson case are also discussed. Our study underscores the importance of improving fixed-order predictions for Higgs- and -plus-jet observables to meet the precision demands of Higgs and electroweak measurements at the LHC and future FCC energies.
Paper Structure (3 sections, 1 equation, 2 figures)

This paper contains 3 sections, 1 equation, 2 figures.

Table of Contents

  1. Introduction
  2. Towards Higgs-plus-jet production at NLL/NLO
  3. Conclusions and outlook

Figures (2)

  • Figure 1: Higgs-plus-jet $\Delta Y$ spectrum at $14$ TeV LHC (left) and $100$ TeV nominal FCC (right) energies. Uncertainty bands show $\mu_{R,F}$ variation in the $1 < C_{\mu} < 2$ range. Text boxes refer to kinematic cuts.
  • Figure 2: Higgs-plus-jet $p_H$ spectrum at $14$ TeV LHC (left) and $100$ TeV nominal FCC (right) energies. Uncertainty bands show $\mu_{R,F}$ variation in the $1 < C_{\mu} < 2$ range. Text boxes refer to kinematic cuts.