Analytic NNLO transverse-momentum-dependent soft function for heavy quark pair hadroproduction at threshold

Abstract

The transverse-momentum-dependent (TMD) soft function for non-relativistic heavy quark pair production at hadron colliders is analytically computed at next-to-next-to-leading order (NNLO) in the strong coupling expansion. We present the details of our computational approach and analyze the general two-loop structure of the soft function. The final result, which takes a particularly simple form, provides the last missing ingredient for a complete NNLO calculation of color-octet $S$-wave quarkonium hadroproduction--including charmonium, bottomonium, and toponium--using the $q_T$-slicing formalism. It also enables next-to-next-to-next-to-leading-logarithmic (N${}^3$LL) resummation at small transverse momentum for the same process.

51 pages, 5 figures, 2 table; v2 (journal version, minor corrections wrt v1, fixed a few typos, and added a few references)

References in corpus (112)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX
• The total top quark pair production cross-section at hadron colliders through O(alpha_S^4)
• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Percent level precision physics at the Tevatron: first genuine NNLO QCD corrections to q qbar -> t tbar + X
• Top-pair production at hadron colliders with next-to-next-to-leading logarithmic soft-gluon resummation
• NNLO corrections to top-pair production at hadron colliders: the all-fermionic scattering channels
• NNLO corrections to top pair production at hadron colliders: the quark-gluon reaction
• A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• Hadronic top-quark pair production with NNLL threshold resummation
• Automatized analytic continuation of Mellin-Barnes integrals
• Kira - A Feynman Integral Reduction Program
• The top quark and Higgs boson masses and the stability of the electroweak vacuum
• Integral Reduction with Kira 2.0 and Finite Field Methods
• HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
• J/psi polarization at hadron colliders in nonrelativistic QCD
• Multipole-expanded soft-collinear effective theory with non-abelian gauge symmetry
• High-precision differential predictions for top-quark pairs at the LHC
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Next-to-next-to-leading soft-gluon corrections for the top quark cross section and transverse momentum distribution
• Renormalization-Group Improved Predictions for Top-Quark Pair Production at Hadron Colliders
• World data of J/psi production consolidate NRQCD factorization at NLO
• Complete off-shell effects in top quark pair hadroproduction with leptonic decay at next-to-leading order
• Polarization for Prompt J/psi, psi(2s) production at the Tevatron and LHC
• Unpolarized Transverse Momentum Dependent Parton Distribution and Fragmentation Functions at next-to-next-to-leading order
• Charge asymmetries of top quarks at hadron colliders revisited
• Infrared singularities of QCD amplitudes with massive partons
• NLO QCD corrections to WWbb production at hadron colliders
• Top-pair production at the LHC through NNLO QCD and NLO EW
• Vector boson production at hadron colliders: hard-collinear coefficients at the NNLO
• Calculation of the transverse parton distribution functions at next-to-next-to-leading order
• QCD transverse-momentum resummation in gluon fusion processes
• On the Resolution of Singularities of Multiple Mellin-Barnes Integrals
• Cusp and collinear anomalous dimensions in four-loop QCD from form factors
• The electroweak contribution to the top quark forward-backward asymmetry at the Tevatron
• Two-loop soft anomalous dimensions and NNLL resummation for heavy quark production
• Top quark and leptonic charge asymmetries for the Tevatron and LHC
• Fragmentation contributions to J/psi production at the Tevatron and the LHC
• NLO QCD corrections to off-shell top-antitop production with leptonic decays at hadron colliders
• Threshold Resummation for the Top Quark Charge Asymmetry
• Analytic Regularization in Soft-Collinear Effective Theory
• Top-quark pair hadroproduction at next-to-next-to-leading order in QCD
• Factorization and NNLL Resummation for Higgs Production with a Jet Veto
• Transverse parton distribution functions at next-to-next-to-leading order: the quark-to-quark case
• Dynamical scales for multi-TeV top-pair production at the LHC
• Top-quark pair production at the LHC: Fully differential QCD predictions at NNLO
• Threshold resummation for pair production of coloured heavy (s)particles at hadron colliders
• Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order
• Higgs-Boson Production at Small Transverse Momentum
• The three-loop cusp anomalous dimension in QCD
• Top-quark pair production near threshold at LHC
• Transverse-momentum resummation for heavy-quark hadroproduction
• Bound-state Effects on Top Quark Production at Hadron Colliders
• Multi-parameter fits to the t-tbar threshold observables at a future e+e- linear collider
• The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions
• Top quark mass measurements at and above threshold at CLIC
• Heavy Quark Pair Production near Threshold with Potential Non-Relativistic QCD
• Transverse-momentum resummation for top-quark pairs at hadron colliders
• Transverse momentum dependent PDFs at N${}^3$LO
• Top quark pair production at small transverse momentum in hadronic collisions
• Observation of quantum entanglement in top quark pair production in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Transverse Parton Distribution and Fragmentation Functions at NNLO: the Quark Case
• NLO electroweak corrections to off-shell top-antitop production with leptonic decays at the LHC
• NLO QCD corrections to W+ W- b anti-b production with leptonic decays in the light of top quark mass and asymmetry measurements
• Bottom-quark production at hadron colliders: fully differential predictions in NNLO QCD
• The top induced backgrounds to Higgs production in the WW -> llvv decay channel at NLO in QCD
• Multi-jet merged top-pair production including electroweak corrections
• Linearly polarized gluons at next-to-next-to leading order and the Higgs transverse momentum distribution
• The impact of the photon PDF and electroweak corrections on $t\bar{t}$ distributions
• ${\rm Y}(nS)$ and ${\chi }_b(nP)$ production at hadron colliders in nonrelativistic QCD
• NNNLO soft-gluon corrections for the top-antitop pair production cross section
• Transverse Parton Distribution and Fragmentation Functions at NNLO: the Gluon Case
• Soft corrections to inclusive deep-inelastic scattering at four loops and beyond
• NNNLO soft-gluon corrections for the top-quark $p_T$ and rapidity distributions
• Resummation for (boosted) top-quark pair production at NNLO+NNLL' in QCD
• Signatures of toponium formation in LHC run 2 data
• The top-quark charge asymmetry at the LHC and Tevatron through NNLO QCD and NLO EW
• Top-pair production at the LHC with MiNNLO${}_{\mathrm{PS}}$
• Resummed differential cross sections for top-quark pairs at the LHC
• Approximate four-loop QCD corrections to the Higgs-boson production cross section
• Off-shell production of top-antitop pairs in the lepton+jets channel at NLO QCD
• Angular integrals in d dimensions
• Top-quark pair hadroproduction at NNLO: differential predictions with the MSbar mass
• Soft-gluon resummation for boosted top-quark production at hadron colliders
• Boosted top production: factorization and resummation for single-particle inclusive distributions
• $t\bar{t}H$ production at NNLO: the flavour off-diagonal channels
• Top quark pair production near threshold: single/double distributions and mass determination
• Azimuthal asymmetries in QCD hard scattering: infrared safe but divergent
• Observation of a pseudoscalar excess at the top quark pair production threshold
• MBsums - a Mathematica package for the representation of Mellin-Barnes integrals by multiple sums
• Zero-jettiness resummation for top-quark pair production at the LHC
• Inclusive production of $J/\psi$, $\psi (2S)$, and ${\rm Y}$ states in pNRQCD
• Transverse-momentum resummation fo top-quark pair production at the LHC
• MB Tools reloaded
• A note on the fate of the Landau-Yang theorem in non-Abelian gauge theories
• NLO and off-shell effects in top quark mass determinations
• Three-loop soft function for heavy-to-light quark decays
• Soft-parton contributions to heavy-quark production at low transverse momentum
• Production and polarization of $S$-wave quarkonia in potential nonrelativistic QCD
• Simulating toponium formation signals at the LHC
• Projected transverse momentum resummation in top-antitop pair production at LHC
• Top-quark double-differential distributions at approximate N${}^3$LO
• Two-loop form factors for pseudo-scalar quarkonium production and decay
• Soft-gluon and Coulomb corrections to hadronic top-quark pair production beyond NNLO
• Top-quark pair production at complete-NLO accuracy with NNLO+NNLL${}^{\prime }$ corrections in QCD
• Invariant-mass distribution of top-quark pairs and top-quark mass determination
• Resummation for rapidity distributions in top-quark pair production
• How well does nonrelativistic QCD factorization work at next-to-leading order?
• FKS subtraction for quarkonium production at NLO
• One-loop transverse-momentum-dependent soft function at higher orders in the dimensional regulator

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