Two-Loop Planar Corrections to Heavy-Quark Pair Production in the Quark-Antiquark Channel

Abstract

We evaluate the planar two-loop QCD diagrams contributing to the leading color coefficient of the heavy-quark pair production cross section, in the quark-antiquark annihilation channel. We obtain the leading color coefficient in an analytic form, in terms of one- and two-dimensional harmonic polylogarithms of maximal weight 4. The result is valid for arbitrary values of the Mandelstam invariants s and t, and of the heavy-quark mass m. Our findings agree with previous analytic results in the small-mass limit and numerical results for the exact amplitude.

30 pages, 5 figures. Version accepted by JHEP

References in corpus (96)

• Harmonic Polylogarithms
• Differential Equations for Two-Loop Four-Point Functions
• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Differential Equations for Feynman Graph Amplitudes
• Electroweak gauge boson production at hadron colliders through O(alpha_s^2)
• Antenna Subtraction at NNLO
• An automatized algorithm to compute infrared divergent multi-loop integrals
• Numerical evaluation of multiple polylogarithms
• The analytical value of the electron (g-2) at order alpha^3 in QED
• Automatized analytic continuation of Mellin-Barnes integrals
• NLL resummation of the heavy-quark hadroproduction cross-section
• HPL, a Mathematica implementation of the harmonic polylogarithms
• Analytical Result for Dimensionally Regularized Massless On-shell Double Box
• Non-planar massless two-loop Feynman diagrams with four on-shell legs
• Theoretical status and prospects for top-quark pair production at hadron colliders
• Automatic Integral Reduction for Higher Order Perturbative Calculations
• The t-tbar cross-section at 1.8 and 1.96 TeV: a study of the systematics due to parton densities and scale dependence
• Resummation for QCD Hard Scattering
• Two-Loop Master Integrals for ${\gamma }^{\ast }\to 3$ Jets: The planar topologies
• Antenna subtraction with hadronic initial states
• Updated predictions for the total production cross sections of top and of heavier quark pairs at the Tevatron and at the LHC
• Top quark pair production and decay at hadron colliders
• Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order
• NNLO predictions for the Higgs boson signal in the H->WW->lnu lnu and H->ZZ->4l decay channels
• Higgs production through gluon fusion: updated cross sections at the Tevatron and the LHC
• Numerical Evaluation of Harmonic Polylogarithms
• NLO QCD corrections to t tbar + jet production at hadron colliders
• Massive Feynman diagrams and inverse binomial sums
• Higgs boson production at hadron colliders: differential cross sections through next-to-next-to-leading order
• Analytic treatment of the two loop equal mass sunrise graph
• NNLO corrections to event shapes in $e^{+}{e}^{-}$ annihilation
• Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
• A new method for real radiation at NNLO
• The theoretical top quark cross section at the Tevatron and the LHC
• Feynman Diagrams and Differential Equations
• High-precision calculation of multi-loop Feynman integrals by difference equations
• NNLO corrections to 3-jet observables in electron-positron annihilation
• Two-Loop Master Integrals for ${\gamma }^{\ast }\to 3$ Jets: The non-planar topologies
• Sector Decomposition
• The W boson production cross section at the LHC through O(alpha_s^2)
• Tops from Light Quarks: Full Mass Dependence at Two-Loops in QCD
• Two-loop QCD Corrections to the Heavy Quark Form Factors: the Vector Contributions
• Numerical Evaluation of Two-Dimensional Harmonic Polylogarithms
• Analytic two-loop results for selfenergy- and vertex-type diagrams with one non-zero mass
• Second-order QCD corrections to the thrust distribution
• Numerical evaluation of phase space integrals by sector decomposition
• AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals
• The three loop on-shell renormalization of QCD and QED
• Four-Particle Phase Space Integrals in Massless QCD
• Massive 3-loop Feynman diagrams reducible to SC* primitives of algebras of the sixth root of unity
• Event shapes and jet rates in electron-positron annihilation at NNLO
• Electroweak effects in top-quark pair production at Hadron Colliders
• Jet rates in electron-positron annihilation at O(α_s^3) in QCD
• Infrared structure of e+e- --> 3 jets at NNLO
• Heavy-quark production in gluon fusion at two loops in QCD
• Hadronic top-quark pair production in association with a hard jet at next-to-leading order QCD: Phenomenological studies for the Tevatron and the LHC
• Two-Loop Fermionic Corrections to Heavy-Quark Pair Production: the Quark-Antiquark Channel
• Weak interaction corrections to hadronic top quark pair production
• Multiple Singular Emission in Gauge Theories
• Heavy-quark production in massless quark scattering at two loops in QCD
• Electroweak corrections to top-quark pair production in quark--antiquark annihilation
• NNLO QCD predictions for the H -> WW -> l l nu nu signal at the LHC
• Two-Loop QCD Corrections to the Heavy Quark Form Factors: Anomaly Contributions
• Master integrals with 2 and 3 massive propagators for the 2-loop electroweak form factor - planar case
• Master Integrals for the 2-loop QCD virtual corrections to the Forward-Backward Asymmetry
• Two-Loop QCD Corrections to the Heavy-to-Light Quark Decay
• Fermionic Corrections to the Heavy-Quark Pair Production in the Quark-Antiquark Channel
• Master integrals for massive two-loop Bhabha scattering in QED
• Two-loop QCD correction to differential semi-leptonic b --> u decays in the shape-function region
• Two-Loop QCD Corrections to the Heavy Quark Form Factors: Axial Vector Contributions
• The electron energy spectrum in muon decay through O(alpha^2)
• Master integrals with one massive propagator for the two-loop electroweak form factor
• NNLO corrections to inclusive semileptonic B decays in the shape-function region
• A numerical method for NNLO calculations
• The infrared structure of e+ e- --> 3 jets at NNLO reloaded
• NLO Antenna Subtraction with Massive Fermions
• The QCD form factor of heavy quarks at NNLO
• The one-loop gluon amplitude for heavy-quark production at NNLO
• Decays of Scalar and Pseudoscalar Higgs Bosons into Fermions: Two-loop QCD Corrections to the Higgs-Quark-Antiquark Amplitude
• Heavy quark pair production in gluon fusion at next-to-next-to-leading $\mathcal{O}({\alpha }_s^4)$ order: One-loop squared contributions
• Weak interaction corrections to hadronic top quark pair production: contributions from quark-gluon and $b\bar{b}$ induced reactions
• The analytic value of the sunrise self-mass with two equal masses and the external invariant equal to the third squared mass
• NNLO corrections to B --> X_u l nu in the shape-function region
• Virtual Hadronic and Leptonic Contributions to Bhabha Scattering
• QCD Corrections to Static Heavy Quark Form Factors
• Two-Loop Fermionic Corrections to Massive Bhabha Scattering
• Two-Loop Heavy-Flavor Contribution to Bhabha Scattering
• Two-Loop Bhabha Scattering in QED
• Next-to-next-to-leading order $\mathcal{O}({\alpha }_s^4)$ results for heavy quark pair production in quark--antiquark collisions: The one-loop squared contributions
• Vertex diagrams for the QED form factors at the 2-loop level
• Calculation of the Two-Loop Heavy-Flavor Contribution to Bhabha Scattering
• Virtual Hadronic and Heavy-Fermion O(alpha^2) Corrections to Bhabha Scattering
• One-loop corrections to four-point functions with two external massive fermions and two external massless partons
• Towards e+e- --> 3 jets at NNLO by sector decomposition
• One-loop amplitudes for four-point functions with two external massive quarks and two external massless partons up to O(epsilon^2)
• A numerical approach to infrared divergent multi-parton phase space integrals

Cited by in corpus (70)

• Hadronic top-quark pair production with NNLL threshold resummation
• Reduze - Feynman Integral Reduction in C++
• High-precision differential predictions for top-quark pairs at the LHC
• Assault on the NLO Wishlist: pp -> tt bb
• Distributions and correlations for top quark pair production and decay at the Tevatron and LHC.
• Renormalization-Group Improved Predictions for Top-Quark Pair Production at Hadron Colliders
• Complete off-shell effects in top quark pair hadroproduction with leptonic decay at next-to-leading order
• Double-real radiation in hadronic top quark pair production as a proof of a certain concept
• NLO QCD corrections to WWbb production at hadron colliders
• Two-loop divergences of massive scattering amplitudes in non-abelian gauge theories
• NLO QCD corrections to off-shell top-antitop production with leptonic decays at hadron colliders
• Threshold Resummation for Top-Pair Hadroproduction to Next-to-Next-to-Leading Log
• Top-quark pair hadroproduction at next-to-next-to-leading order in QCD
• FIESTA 2: parallelizeable multiloop numerical calculations
• Numerical evaluation of multi-loop integrals for arbitrary kinematics with SecDec 2.0
• Top-quark pair production at the LHC: Fully differential QCD predictions at NNLO
• NNLO QCD predictions for fully-differential top-quark pair production at the Tevatron
• Virtual amplitudes and threshold behaviour of hadronic top-quark pair-production cross sections
• Precision predictions for the t+t(bar) production cross section at hadron colliders
• Transverse-momentum resummation for heavy-quark hadroproduction
• Three-mass triangle integrals and single-valued polylogarithms
• Threshold expansion of the gg(qq) -> QQ+X cross section at O(alpha_s^4)
• On the Generalized Harmonic Polylogarithms of One Complex Variable
• The $q_T$ subtraction method for top quark production at hadron colliders
• Master integrals for the NNLO virtual corrections to $\mu e$ scattering in QED: the non-planar graphs
• RG-improved single-particle inclusive cross sections and forward-backward asymmetry in $t\bar{t}$ production at hadron colliders
• Master integrals for the NNLO virtual corrections to $\mu e$ scattering in QED: the planar graphs
• Antenna subtraction for the production of heavy particles at hadron colliders
• Two-Loop Leading Color Corrections to Heavy-Quark Pair Production in the Gluon Fusion Channel
• Mixed strong$-$electroweak corrections to the Drell$-$Yan process
• Light-quark two-loop corrections to heavy-quark pair production in the gluon fusion channel
• Soft-gluon resummation for boosted top-quark production at hadron colliders
• Threshold expansion at order alpha_s^4 for the t-tbar invariant mass distribution at hadron colliders
• Antenna subtraction with massive fermions at NNLO: Double real initial-final configurations
• Single bottom quark production in kT-factorisation
• NNLO QCD subtraction for top-antitop production in the $q\bar{q}$ channel
• Four Loop Massless Propagators: a Numerical Evaluation of All Master Integrals
• Muon-electron scattering at NNLO
• Massive planar and non-planar double box integrals for light Nf contributions to gg->tt
• Next-to-next-to-leading-order QCD corrections to hadronic width of pseudoscalar quarkonium
• Double real radiation corrections to $t\bar{t}$ production at the LHC: the all-fermion processes
• Renormalization-group improved fully differential cross sections for top pair production
• Two-Loop Master Integrals for $q\bar{q}\to VV$: the Planar Topologies
• Differential equations for loop integrals in Baikov representation
• Two-loop leading colour QCD helicity amplitudes for top quark pair production in the gluon fusion channel
• A Numerical Routine for the Crossed Vertex Diagram with a Massive-Particle Loop
• Massive non-planar two-loop four-point integrals with SecDec 2.1
• Master integrals for the NNLO virtual corrections to $q\bar{q}\to t\bar{t}$ scattering in QCD: the non-planar graphs
• Double real radiation corrections to $t\bar{t}$ production at the LHC: the $gg\to t\bar{t}q\bar{q}$ channel
• Master Integrals for the two-loop, non-planar QCD corrections to top-quark pair production in the quark-annihilation channel
• One-loop QCD helicity amplitudes for $pp\to t\bar{t}j$ to $O({\epsilon }^2)$
• On the Numerical Evaluation of Loop Integrals With Mellin-Barnes Representations
• Top quark pair production at NNLO in the quark-antiquark channel
• Polarized double-virtual amplitudes for heavy-quark pair production
• Light fermionic NNLO QCD corrections to top-antitop production in the quark-antiquark channel
• Next-to-leading order QCD corrections to $t\bar{t}\gamma$ production at the 7 TeV LHC
• Finite-width effects in unstable-particle production at hadron colliders
• Two-loop amplitudes for ttH production: the quark-initiated Nf-part
• Top-Quark Pair Production Beyond Next-to-Leading Order
• Master integrals of a planar double-box family for top-quark pair production
• Infrared Singularities and Soft Gluon Resummation with Massive Partons
• Some recent theoretical progress in Higgs boson and top quark physics at hadron colliders
• Numerical evaluation of multi-loop integrals using subtraction terms
• Two-Loop Four-Fermion Scattering Amplitude in QED
• NNLO QED contribution to the $\mu e\to \mu e$ elastic scattering
• Numerical multi-loop calculations with SecDec
• Two-loop mixed QCD-EW corrections to $q\overline{q}\to Hg$, $qg\to Hq$, and $\overline{q}g\to H\overline{q}$
• Two-loop scattering amplitude for heavy-quark pair production through light-quark annihilation in QCD
• Two-loop master integrals for pseudo-scalar quarkonium and leptonium production and decay
• Two-loop mixed QCD-EW corrections to neutral current Drell-Yan