Next-to-next-to-next-to-leading-order soft-gluon corrections in hard-scattering processes near threshold

Abstract

I present a unified calculation of soft-gluon corrections to hard-scattering cross sections through next-to-next-to-next-to-leading order (NNNLO). Master formulas are derived, from a threshold resummation formalism, that can be applied to total and differential cross sections for hard-scattering processes in hadron colliders. I also present numerical results for charged Higgs production at the LHC where these corrections are large, and for top quark production at the Tevatron where these corrections greatly reduce the scale dependence of the cross section.

22 pages, 3 figures

References in corpus (13)

• Higher-Order Corrections in Threshold Resummation
• Threshold Resummation for the Inclusive-Hadron Cross-Section in pp Collisions
• Top quark physics in hadron collisions
• Measurement of the ttbar Production Cross Section in ppbar Collisions at sqrt{s} = 1.96 TeV using Kinematic Characteristics of Lepton + Jets Events
• Measurement of the Cross Section for $t\bar{t}$ Production in $p\bar{p}$ Collisions using the Kinematics of Lepton+Jets Events
• Measurement of the ttbar Production Cross Section in ppbar Collisions at sqrt(s)=1.96 TeV using Lepton + Jets Events with Lifetime b-tagging
• Charged Higgs production via bg -> tH- at the LHC
• W production at large transverse momentum at the Large Hadron Collider
• Theoretical status of the top quark cross section
• Measurement of the ttbar Production Cross Section in ppbar Collisions at sqrt(s)=1.96 TeV in Dilepton Final States
• Collinear and soft resummation in the large-x limit
• Soft-gluon expansions through NNNLO
• Top quark and charged Higgs production at hadron colliders

Cited by in corpus (40)

• Two-loop soft anomalous dimensions for single top quark associated production with a W- or H-
• NNLL resummation for s-channel single top quark production
• Next-to-next-to-leading soft-gluon corrections for the top quark cross section and transverse momentum distribution
• Single top quark production at the Tevatron: threshold resummation and finite-order soft gluon corrections
• The theoretical top quark cross section at the Tevatron and the LHC
• Higher-order soft gluon corrections in single top quark production at the LHC
• NLO QED contributions to top-pair production at hadron collider
• NNNLO soft-gluon corrections for the top-antitop pair production cross section
• The one-loop gluon amplitude for heavy-quark production at NNLO
• NNNLO soft-gluon corrections for the top-quark $p_T$ and rapidity distributions
• Extracting the neutron-neutron scattering length -- recent developments
• The top quark forward-backward asymmetry at approximate N${}^3$LO
• Measurement of the $t\bar{t}$ production cross-section in the lepton+jets channel at $\sqrt{s}=13$TeV with the ATLAS experiment
• Soft-gluon corrections for $tW$ production at N${}^3$LO
• What is a parton shower?
• Top-quark production and QCD
• Searching for Heavy Charged Higgs Boson with Jet Substructure at the LHC
• Statistical uncertainties of a chiral interaction at next-to-next-to leading order
• Collinear and soft gluon corrections to Higgs production at NNNLO
• The Ratio $R=F_L/F_T$ in DIS as a Probe of the Charm Content of the Proton
• On the Perturbative Stability of the QCD Predictions for the Ratio $R=F_L/F_T$ in Heavy-Quark Leptoproduction
• Jets and threshold summation in Deductor
• Summing threshold logs in a parton shower
• Soft-gluon corrections in top-quark production
• NNLO contributions to inclusive-jet production in DIS and determination of α_s
• Charged Higgs production in association with a top quark at approximate NNLO
• Azimuthal Asymmetries in DIS as a Probe of Intrinsic Charm Content of the Proton
• Azimuthal Dependence of the Heavy Quark Initiated Contributions to DIS
• Soft anomalous dimensions and resummation in QCD
• Higgs boson production with one bottom quark including higher-order soft-gluon corrections
• Measurement of jet substructure in boosted $t\bar{t}$ events with the ATLAS detector using 140 fb${}^{-1}$ of 13 TeV $pp$ collisions
• Soft gluon resummation for gluon fusion $ZH$ production
• Resummation for $s$-channel single-top production
• Probing Charged Higgs Boson Couplings at the FCC-hh Collider
• Next to Soft Threshold Resummation for $VH$ Production
• Threshold resummation for $Z$-boson pair production at NNLO+NNLL
• Measurement of the Lund jet plane in hadronic decays of top quarks and W bosons with the ATLAS detector
• Threshold improved $ZH$ production at the LHC
• Spin Effects in Quantum Chromodynamics and Recurrence Lattices with Multi-Site Exchanges
• Threshold resummation for $W$-boson pair production at NNLO+NNLL