Two-loop fermionic corrections to heavy-quark pair production: the quark-antiquark channel

2008/06/13 by Roberto Bonciani, R. Bonciani, A. Ferroglia +5 · 3 citations
Mathematics · Physics and Astronomy · #Amplitude #Channel (broadcasting) #Combinatorics #Computer science #High-Energy Particle Collisions Research #Limit (mathematics) #Loop (graph theory) #Mathematical analysis #Mathematics #Pair production #Particle physics #Particle physics theoretical and experimental studies #Physics #Production (economics) #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Top quark #hep-ph

paper · pdf · doi:10.1088/1126-6708/2008/07/129

published as JHEP 0807:129,2008 · 23 pages, 4 figures

arxiv created 2008/06/13 · openalex publication_date 2008/07/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We evaluate the fermionic two-loop QCD corrections to the heavy-quark pair production process in the quark-antiquark channel. We obtain analytic results which are valid for any value of the Mandelstam invariants s and t , and of the heavy quark mass m . Our findings confirm previous results for the analytic evaluation in the small-mass limit and numerical results for the exact amplitude. We furthermore provide the expansion of the two-loop amplitude at the production threshold s ≳ 4 m 2 .

Citations

• Observation of the Top Quark
• Theoretical top quark cross section at the Fermilab Tevatron and the CERN LHC
• New features of FORM
• Observation of Top Quark Production inp¯pCollisions with the Collider Detector at Fermilab
• WBoson Production Cross Section at the Large Hadron Collider withO(αs2)Corrections
• A numerical method for NNLO calculations
• Heavy-quark production in massless quark scattering at two loops in QCD
• Integration by parts: The algorithm to calculate β-functions in 4 loops
• Automatized analytic continuation of Mellin–Barnes integrals
• Weak interaction corrections to hadronic top quark pair production
• Calculation of the two-loop heavy-flavor contribution to Bhabha scattering
• Weak interaction effects in top-quark pair production at hadron colliders
• Differential Equations for Two-Loop Four-Point Functions
• Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass
• Master integrals with one massive propagator for the two-loop electroweak form factor
• Two-loop fermionic corrections to massive Bhabha scattering
• Tops from light quarks: Full mass dependence at two-loops in QCD
• Updated predictions for the total production cross sections of top and of heavier quark pairs at the Tevatron and at the LHC
• Master integrals for the 2-loop QCD virtual corrections to the forward–backward asymmetry
• Numerical evaluation of two-dimensional harmonic polylogarithms
• Soft-gluon resummation for Higgs boson production at hadron colliders
• Weak-interaction corrections to hadronic top-quark pair production: Contributions from quark-gluon andbb¯induced reactions
• The tbar-t cross-section at 1.8 and 1.96 TeV: a study of the systematics due to parton densities and scale dependence
• The electron energy spectrum in muon decay through 𝒪(α2)
• Harmonic Polylogarithms

Cited by

• Double-real radiation in hadronic top quark pair production as a proof of a certain concept
• Threshold expansion of the gg(qq¯)→QQ¯+X cross section at O(αs4)
• Three-mass triangle integrals and single-valued polylogarithms

Related

• Heavy-quark production in massless quark scattering at two loops in QCD
• Tops from light quarks: Full mass dependence at two-loops in QCD
• Two-Loop Corrections to Fermion Pair Production Vertices
• Heavy-quark pair production at two loops in QCD
• Analytic QCD Flavor Thresholds Through Two Loops