Collinear expansion for color singlet cross sections

Abstract

We demonstrate how to efficiently expand cross sections for color-singlet production at hadron colliders around the kinematic limit of all final state radiation being collinear to one of the incoming hadrons. This expansion is systematically improvable and applicable to a large class of physical observables. We demonstrate the viability of this technique by obtaining the first two terms in the collinear expansion of the rapidity distribution of the gluon fusion Higgs boson production cross section at next-to-next-to leading order (NNLO) in QCD perturbation theory. Furthermore, we illustrate how this technique is used to extract universal building blocks of scattering cross section like the N-jettiness and transverse momentum beam function at NNLO.

39 pages, 1 awesome figure; v2: journal version

References in corpus (40)

• Parton distributions in the LHC era: MMHT 2014 PDFs
• Higgs boson gluon-fusion production in N3LO QCD
• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• Thrust at N^3LL with Power Corrections and a Precision Global Fit for alphas(mZ)
• The Zero-Bin and Mode Factorization in Quantum Field Theory
• A precise determination of alpha_s from LEP thrust data using effective field theory
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• Power Counting to Better Jet Observables
• Top Jets in the Peak Region: Factorization Analysis with NLL Resummation
• QCD transverse-momentum resummation in gluon fusion processes
• Four-dimensional formulation of the sector-improved residue subtraction scheme
• The Quark Beam Function at NNLL
• Mixed QCD-electroweak O(α_sα) corrections to Drell-Yan processes in the resonance region: pole approximation and non-factorizable corrections
• Vector-Boson Fusion Higgs Pair Production at N${}^3$LO
• Resummation and NLO Matching of Event Shapes with Effective Field Theory
• Enhanced electromagnetic correction to the rare $B$-meson decay $B_{s,d}\to {\mu }^{+}{\mu }^{-}$
• Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme
• Fully Unintegrated Parton Correlation Functions and Factorization in Lowest Order Hard Scattering
• Soft Factor Subtraction and Transverse Momentum Dependent Parton Distributions on Lattice
• Resummed Higgs cross section at N${}^3$LL
• Resummation of Transverse Momentum Distributions in Distribution Space
• The Soft Function for Exclusive N-Jet Production at Hadron Colliders
• A Precise Determination of ${\alpha }_s$ from the C-parameter Distribution
• Resummation of Double-Differential Cross Sections and Fully-Unintegrated Parton Distribution Functions
• Fragmentation in Jets at NNLO
• Glauber Gluons and Multiple Parton Interactions
• The Gluon Beam Function at Two Loops
• Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO
• N-Jettiness Subtractions for $gg\to H$ at Subleading Power
• Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power
• Transverse Parton Distribution and Fragmentation Functions at NNLO: the Gluon Case
• Higher-twist corrections to gluon TMD factorization
• Renormalization of Subleading Dijet Operators in Soft-Collinear Effective Theory
• The Fully-Differential Quark Beam Function at NNLO
• Quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large-$N_c$ approximation
• Transverse Vetoes with Rapidity Cutoff in SCET
• Next-to-Leading Order Hard Scattering Using Fully Unintegrated Parton Distribution Functions
• On the calculation of soft phase space integral
• All-order results for infrared and collinear singularities in massless gauge theories
• One-loop QCD contributions to differential cross-sections for Higgs production at N${}^3$LO

Cited by in corpus (1)

• QCD Beyond Leading Power