Next-to-next-to-leading logarithmic corrections at small transverse momentum in hadronic collisions

Abstract

We study the region of small transverse momenta in qqbar- and gg-initiated processes with no colored particle detected in the final state. We present the universal expression of the O(alpha_s^2) logarithmically enhanced contributions up to next-to-next-to-leading logarithmic accuracy. From there we extract the coefficients that allow the resummation of the large logarithmic contributions. We find that the coefficient known in the literature as B^{(2)} is process dependent, since it receives a hard contamination from the one loop correction to the leading order subprocess. We present the general result of B^{(2)} for both quark and gluon channels. In particular, in the case of Higgs production, this result will be relevant to improve the matching between resummed predictions and fixed order calculations.

LaTeX, 8 pages. Few typos corrected, particularly Eq.(25). Two references added, to be published in PRL

Cited by in corpus (107)

• 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
• The Anatomy of Electro-Weak Symmetry Breaking. I: The Higgs boson in the Standard Model
• Transverse-momentum resummation and the spectrum of the Higgs boson at the LHC
• A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory
• Handbook of LHC Higgs Cross Sections: 2. Differential Distributions
• Higgs production via gluon fusion in the POWHEG approach in the SM and in the MSSM
• Merging H/W/Z + 0 and 1 jet at NLO with no merging scale: a path to parton shower + NNLO matching
• Higgs production in hadron collisions: soft and virtual QCD corrections at NNLO
• Diphoton production at hadron colliders: a fully-differential QCD calculation at NNLO
• Bootstrapping rapidity anomalous dimension for transverse-momentum resummation
• Transverse-momentum resummation: Higgs boson production at the Tevatron and the LHC
• The q_T spectrum of the Higgs boson at the LHC in QCD perturbation theory
• Prompt neutrinos from atmospheric c-cbar and b-bbar production and the gluon at very small x
• Phenomenology of event shapes at hadron colliders
• Analytic Results for Virtual QCD Corrections to Higgs Production and Decay
• Production of Drell--Yan lepton pairs in hadron collisions: transverse-momentum resummation at next-to-next-to-leading logarithmic accuracy
• Vector boson production at hadron colliders: hard-collinear coefficients at the NNLO
• QCD transverse-momentum resummation in gluon fusion processes
• Universality of transverse-momentum resummation and hard factors at the NNLO
• The structure of large logarithmic corrections at small transverse momentum in hadronic collisions
• Next-to-leading order QCD corrections to differential distributions of Higgs boson production in hadron-hadron collisions
• Joint resummation in electroweak boson production
• The Hunt for New Physics at the Large Hadron Collider
• Soft-Gluon Resummation for the Fragmentation of Light and Heavy Quarks at Large x
• Transverse parton distribution functions at next-to-next-to-leading order: the quark-to-quark case
• Next-to-leading Corrections to the Higgs Boson Transverse Momentum Spectrum in Gluon Fusion
• Higgs boson production at the LHC using the $q_T$ subtraction formalism at N${}^3$LO QCD
• Scalar Particle Contribution to Higgs Production via Gluon Fusion at NLO
• Recoil and Threshold Corrections in Short-distance Cross Sections
• Transverse-momentum resummation for heavy-quark hadroproduction
• Joint Resummation for Higgs Production
• Resummation of Transverse Momentum Distributions in Distribution Space
• Simplicity from Recoil: The Three-Loop Soft Function and Factorization for the Energy-Energy Correlation
• The back-to-back region in e^+e^- energy--energy correlation
• Higgs boson production at the LHC: transverse-momentum resummation and rapidity dependence
• Transverse-momentum resummation: a perturbative study of Z production at the Tevatron
• Rapidity renormalized TMD soft and beam functions at two loops
• Quantum Interference in Jet Substructure from Spinning Gluons
• Vector boson production at hadron colliders: transverse-momentum resummation and leptonic decay
• Gluon Distribution Functions and Higgs Boson Production at Moderate Transverse Momentum
• Gluon-gluon contributions to the production of continuum diphoton pairs at hadron colliders
• The triple collinear limit of one-loop QCD amplitudes
• Calculation of prompt diphoton production cross sections at Tevatron and LHC energies
• Higgs boson production at hadron colliders: hard-collinear coefficients at the NNLO
• Soft Gluon Resummations in Dijet Azimuthal Angular Correlations at the Collider
• Differential Cross Section for Higgs Boson Production Including All-Orders Soft Gluon Resummation
• Predictions for Drell-Yan ϕ* and Q_T observables at the LHC
• An Overview of Transverse Momentum Dependent Factorization and Evolution
• TMD evolution and the Higgs transverse momentum distribution
• May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations
• Transverse-Momentum-Dependent Gluon Distributions and Semi-inclusive Processes at Hadron Colliders
• Nonperturbative contributions to a resummed leptonic angular distribution in inclusive neutral vector boson production
• Transverse Momentum Distribution Through Soft-Gluon Resummation in Effective Field Theory
• QCD predictions for new variables to study dilepton transverse momenta at hadron colliders
• Transverse-Momentum Resummation for Slepton-Pair Production at the LHC
• Jet-veto in bottom-quark induced Higgs production at next-to-next-to-leading order
• Higgs boson production at hadron colliders in the k_T-factorization approach
• SM and MSSM Higgs Boson Production: Spectra at large transverse Momentum
• Transverse momentum distribution of Upsilon production in hadronic collisions
• All-orders resummation for diphoton production at hadron colliders
• Soft-gluon effects in WW production at hadron colliders
• Resummation for Polarized Semi-Inclusive Deep-Inelastic Scattering at Small Transverse Momentum
• Transverse momentum resummation in soft-collinear effective theory
• Renormalization and Matching for the Collins-Soper Kernel from Lattice QCD
• The ${\eta }^{\prime }{g}^{\ast }{g}^{\ast }$ vertex with arbitrary gluon virtualities in the perturbative QCD hard scattering approach
• Transverse momentum resummation at small x for the Tevatron and LHC
• Higher-order power corrections in a transverse-momentum cut for colour-singlet production at NLO
• Resummation effects in Higgs boson transverse momentum distribution within the framework of unintegrated parton distributions
• Evolution Kernels from Splitting Amplitudes
• Production of Z'-Boson Resonances with Large Width at the LHC
• Transverse momentum resummation for Higgs boson produced via bb-bar fusion at hadron colliders
• Differential Cross Sections for Higgs Boson Production at Tevatron Collider Energies
• Non-perturbative effects and the resummed Higgs transverse momentum distribution at the LHC
• The Higgs Transverse Momentum Distribution at NNLL and its Theoretical Errors
• The aT distribution of the Z boson at hadron colliders
• Resummation of transverse energy in vector boson and Higgs boson production at hadron colliders
• reSolve - A Transverse Momentum Resummation Tool
• Pion nucleus Drell-Yan process and parton transverse momentum in the pion
• Factorization of Power Corrections in the Drell-Yan Process in EFT
• QCD resummation for groomed jet observables at NNLL+NLO
• A fast and accurate method for perturbative resummation of transverse momentum-dependent observables
• Diphoton production at Next-to-Next-to-Leading-Order
• Combining nonperturbative transverse momentum dependence with TMD evolution
• Kinematical correlations for Higgs boson plus High Pt Jet Production at Hadron Colliders
• Power corrections in a transverse-momentum cut for vector-boson production at NNLO: the $qg$-initiated real-virtual contribution
• Soft parton radiation in polarized vector boson production: theoretical issues
• Transverse-momentum resummation for the signal-background interference in the $H\to \gamma \gamma$ channel at the LHC
• Resummation Effects in the Search of SM Higgs Boson at Hadron Colliders
• Transverse-momentum resummation for vector-boson pair production at NNLL+NNLO
• Soft gluon corrections to double transverse-spin asymmetries for small-$Q_T$ dilepton production at RHIC and J-PARC
• Next-to-leading Log Resummation of Scalar and Pseudoscalar Higgs Boson Differential Cross-Sections at the LHC and Tevatron
• Higgs boson phenomenology in tau^+ tau^- final states at the LHC
• Diphoton production in gluon fusion at small transverse momentum
• Resummation of the transverse-energy distribution in Higgs boson production at the Large Hadron Collider
• Phenomenological studies in QCD resummation
• Resummed transverse momentum distribution of pseudo-scalar Higgs boson at NNLO${}_A$+NNLL
• Probing Jet Medium Interactions via $Z$($H$)+jet Momentum Imbalances
• Higgs boson production with one bottom quark including higher-order soft-gluon corrections
• Higgs Boson Production in Hadron-Hadron Colliders
• Probing the Sivers asymmetries through $J/\psi$ photoproduction in ${\mathrm{p}}^{\uparrow }\mathrm{p}$ collision with forward proton tagging
• Collinear splitting, parton evolution and the strange-quark asymmetry of the nucleon in NNLO QCD
• The Standard Model from the LHC to future colliders: a contribution to the Workshop "What Next" of INFN
• Phenomenology of electro-weak bosons at hadron colliders with novel variables
• Higgs boson production at the LHC: fast and precise predictions in QCD at higher orders
• NLO distributions for Higgs production at the LHC
• Q_T Resummation in Transversely Polarized Drell-Yan Process