Small-$x$ phenomenology at the LHC and beyond: HELL 3.0 and the case of the Higgs cross section

Abstract

Small-$x$ resummation has been proven recently to be a crucial ingredient for describing small-$x$ HERA data, and the inclusion of small-$x$ resummation in parton distribution function (PDF) determination has a sizeable effect on the PDFs even at the electroweak scale. In this work we explore the implications of small-$x$ resummation at the Large Hadron Collider (LHC) and at a Future Circular Collider (FCC). We construct the theoretical machinery for resumming physical inclusive observables at hadron colliders, and describe its implementation in the public code HELL 3.0. We focus on Higgs production in gluon fusion as a prototypical example, both because it is sensitive to small-$x$ gluons and because of its importance for the LHC physics programme. We find that adding small-$x$ resummation to the N${}^3$LO Higgs production cross section can lead to an increase of up to 10% at FCC, while the effect is smaller (+1%) at LHC but still important to achieve a high level of precision.

42 pages, 8 figures. Added new Fig 6 and some discussions. Final version published in EPJC

References in corpus (22)

• Higgs boson gluon-fusion production in N3LO QCD
• Dynamical Threshold Enhancement and Resummation in Drell-Yan Production
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• Higgs production via gluon-gluon fusion with finite top mass beyond next-to-leading order
• Higgs Boson Production at Hadron Colliders at N3LO in QCD
• Parton distributions with small-x resummation: evidence for BFKL dynamics in HERA data
• Origin of the Large Perturbative Corrections to Higgs Production at Hadron Colliders
• Small x Resummation with Quarks: Deep-Inelastic Scattering
• Threshold resummation at N${}^3$LL accuracy and soft-virtual cross sections at N${}^3$LO
• Large-nf Contributions to the Four-Loop Splitting Functions in QCD
• Scalar Particle Contribution to Higgs Production via Gluon Fusion at NLO
• Resummed Higgs cross section at N${}^3$LL
• Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints
• Small-$x$ resummation from HELL
• High Energy Resummation of Drell-Yan Processes
• Updated Higgs cross section at approximate N${}^3$LO
• On the Casimir scaling violation in the cusp anomalous dimension at small angle
• Double resummation for Higgs production
• Resummation prescriptions and ambiguities in SCET vs. direct QCD: Higgs production as a case study
• The three loop soft function for N${}^3$LL${}^{\prime }$ gluon fusion Higgs production in SCET
• Scalar Higgs boson production in a fusion of two off-shell gluons
• Resummation of soft and hard gluon radiation in perturbative QCD

Cited by in corpus (25)

• The Large Hadron-Electron Collider at the HL-LHC
• Snowmass 2021 whitepaper: Proton structure at the precision frontier
• Neutrino Telescopes as QCD Microscopes
• Approximate N${}^3$LO Parton Distribution Functions with Theoretical Uncertainties: MSHT20aN${}^3$LO PDFs
• Recent highlights from GENIE v3
• Complete predictions for high-energy neutrino propagation in matter
• Inclusive production of a heavy-light dijet system in hybrid high-energy and collinear factorization
• High-energy resummed distributions for the inclusive Higgs-plus-jet production at the LHC
• Probabilistic definition of the perturbative theoretical uncertainty from missing higher orders
• A new simple PDF parametrization: improved description of the HERA data
• Precise predictions for multi-$\mathrm{TeV}$ and $\mathrm{PeV}$ energy neutrino scattering rates
• The next-to-leading order Higgs impact factor in the infinite top-mass limit
• Ultraforward production of a charmed hadron plus a Higgs boson in unpolarized proton collisions
• Mueller-Navelet jets at the LHC: hunting data with azimuthal distributions
• Vector quarkonia at the LHC with JETHAD: A high-energy viewpoint
• Differential heavy quark pair production at small $x$
• High-energy QCD dynamics from bottom flavor fragmentation at the Hi-Lumi LHC
• Impact of Inclusive Electron Ion Collider Data on Collinear Parton Distributions
• Next to SV resummed prediction for pseudoscalar Higgs boson production at NNLO$+\overline{\text{NNLL}}$
• Fragmentation of fully heavy tetraquarks: The TQ4Q1.1 functions as a case study
• Refining the GENEVA method for Higgs boson production via gluon fusion
• On the approaches to threshold resummation of rapidity distributions for the Drell-Yan process
• Analysis of HERA data with a PDF parametrization inspired by quantum statistical mechanics
• The Forward Physics Facility at the High-Luminosity LHC
• Signatures of gluon saturation from structure-function measurements