Transverse-momentum resummation for heavy-quark hadroproduction

Abstract

We consider the production of a pair of heavy quarks ($Q\bar{Q}$) in hadronic collisions. When the transverse momentum $q_T$ of the heavy-quark pair is much smaller than its invariant mass, the QCD perturbative expansion is affected by large logarithmic terms that must be resummed to all-orders. This behavior is well known from the simpler case of hadroproduction of colourless high-mass systems, such as vector or Higgs boson(s). In the case of $Q\bar{Q}$ production, the final-state heavy quarks carry colour charge and are responsible for additional soft radiation (through direct emission and interferences with initial-state radiation) that complicates the evaluation of the logarithmically-enhanced terms in the small-$q_T$ region. We present the all-order resummation structure of the logarithmic contributions, which includes colour flow evolution factors due to soft wide-angle radiation. Resummation is performed at the completely differential level with respect to the kinematical variables of the produced heavy quarks. Soft-parton radiation produces azimuthal correlations that are fully taken into account by the resummation formalism. These azimuthal correlations are entangled with those that are produced by initial-state collinear radiation. We present explicit analytical results up to next-to-leading order and next-to-next-to-leading logarithmic accuracy.

Some comments expanded and references added. Version published on NPB

References in corpus (22)

• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO
• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• k_T factorization is violated in production of high-transverse-momentum particles in hadron-hadron collisions
• QCD transverse-momentum resummation in gluon fusion processes
• Tops from Light Quarks: Full Mass Dependence at Two-Loops in QCD
• The Construction of Gauge-Links in Arbitrary Hard Processes
• Super-leading logarithms in non-global observables in QCD?
• Threshold Resummation for Top-Pair Hadroproduction to Next-to-Next-to-Leading Log
• Direct Probes of Linearly Polarized Gluons inside Unpolarized Hadrons
• Two-Loop Fermionic Corrections to Heavy-Quark Pair Production: the Quark-Antiquark Channel
• Hard-Soft-Collinear Factorization to All Orders
• Super-leading logarithms in non-global observables in QCD: Colour basis independent calculation
• Transverse-momentum resummation for top-quark pairs at hadron colliders
• The Massive Soft Anomalous Dimension Matrix at Two Loops
• Two-Loop Planar Corrections to Heavy-Quark Pair Production in the Quark-Antiquark Channel
• Equality of Two Definitions for Transverse Momentum Dependent Parton Distribution Functions
• Gluon-gluon contributions to the production of continuum diphoton pairs at hadron colliders
• Two-Loop Leading Color Corrections to Heavy-Quark Pair Production in the Gluon Fusion Channel
• Hadronic Dijet Imbalance and Transverse-Momentum Dependent Parton Distributions
• Computation of the Soft Anomalous Dimension Matrix in Coordinate Space
• 2-soft-gluon exchange and factorization breaking

Cited by in corpus (44)

• Top-quark pair hadroproduction at next-to-next-to-leading order in QCD
• Event Generators for High-Energy Physics Experiments
• Bottom-quark production at hadron colliders: fully differential predictions in NNLO QCD
• Anisotropy in Dijet Production in Exclusive and Inclusive Processes
• Differential top-antitop cross-section measurements as a function of observables constructed from final-state particles using pp collisions at $\sqrt{s}=7$ TeV in the ATLAS detector
• Higgs boson production in association with a top-antitop quark pair in next-to-next-to leading order QCD
• Next-to-next-to-leading order event generation for top-quark pair production
• Precise predictions for the associated production of a $W$ boson with a top-antitop quark pair at the LHC
• Top-pair production at the LHC with MiNNLO${}_{\mathrm{PS}}$
• Associated production of a $W$ boson and massive bottom quarks at next-to-next-to-leading order in QCD
• Mixed QCD-EW corrections to $\mathbf{pp}\to \mathbf{\ell }{\mathbf{\nu }}_{\mathbf{\ell }}+\mathbf{X}$ at the LHC
• $t\bar{t}H$ production at NNLO: the flavour off-diagonal channels
• Fiducial perturbative power corrections within the q${}_{\mathbf{T}}$ subtraction formalism
• Transverse momentum dependent shape function for $J/\psi$ production in SIDIS
• Harmonics of Parton Saturation in Lepton-Jet Correlations at the EIC
• Soft logarithms in processes with heavy quarks
• A consistent resummation of mass and soft logarithms in processes with heavy flavours
• Soft-parton contributions to heavy-quark production at low transverse momentum
• Projected transverse momentum resummation in top-antitop pair production at LHC
• Next-to-Next-to-Leading Order $N$-Jettiness Soft Function for One Massive Colored Particle Production at Hadron Colliders
• Coulomb gluons will generally destroy coherence
• Energy evolution of T-odd gluon TMDs at small $x$
• Azimuthal asymmetries of muon pair production in ultraperipheral heavy ion collisions
• Transverse-momentum resummation for boson plus jet production at hadron colliders
• Dissecting the collinear structure of quark splitting at NNLL
• B-hadron production at the LHC from bottom-quark pair production at NNLO+PS
• Collinear functions for QCD resummations
• Two-loop amplitudes for ttH production: the quark-initiated Nf-part
• Effective transverse momentum in multiple jet production at hadron colliders
• Combining QED and QCD transverse-momentum resummation for W and Z boson production at hadron colliders
• Top-quark pole mass extraction at NNLO accuracy, from total, single- and double-differential cross sections for $t\bar{t}+X$ production at the LHC
• Exploring slicing variables for jet processes
• Polarized TMD fragmentation functions for $J/\psi$ production
• Polarized $J/\psi$ production in semi-inclusive DIS at large $Q^2$: Comparing quark fragmentation and photon-gluon fusion
• Reweighting simulated events using machine-learning techniques in the CMS experiment
• Analytic NNLO transverse-momentum-dependent soft function for heavy quark pair hadroproduction at threshold
• Diphoton production at hadron colliders: transverse-momentum resummation at next-to-next-to-leading logarithmic accuracy
• The $q_{\mathrm{T}}$ and $\Delta {\varphi }_{t\bar{t}}$ spectra in top-antitop hadroproduction at NNLL+NNLO: the interplay of soft-collinear resummation and Coulomb singularities
• Probing Quantum Phenomena through Photoproduction in Relativistic Heavy-Ion Collisions
• One-loop transverse-momentum-dependent soft function at higher orders in the dimensional regulator
• Azimuthal angular correlation of $J/\psi$ plus jet production at the electron-ion collider
• State-of-the-art cross sections for ttH: NNLO predictions matched with NNLL resummation and EW corrections
• Two-loop mixed QCD-EW corrections to neutral current Drell-Yan
• Next-to-next-to-leading order event generation for $t\bar{t}H$ production with approximate two-loop amplitude