Revisiting parton evolution and the large-x limit

Abstract

This remark is part of an ongoing project to simplify the structure of the multi-loop anomalous dimensions for parton distributions and fragmentation functions. It answers the call for a "structural explanation" of a "very suggestive" relation found by Moch, Vermaseren and Vogt in the context of the x->1 behaviour of three-loop DIS anomalous dimensions. It also highlights further structure that remains to be fully explained.

6 pages, v2 corrects misprints and contains an additional reference

References in corpus (5)

• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• The Three-Loop Splitting Functions in QCD: The Singlet Case
• Numerical Evaluation of Two-Dimensional Harmonic Polylogarithms
• Specific Features of Heavy Quark Production. LPHD approach to heavy particle spectra
• Next-to-Leading Order Evolution of Polarized and Unpolarized Fragmentation Functions

Cited by in corpus (130)

• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• A Higher Order Perturbative Parton Evolution Toolkit (HOPPET)
• Parton Fragmentation Functions
• Higher-Order threshold effects to inclusive processes in QCD
• Path integral approach to eikonal and next-to-eikonal exponentiation
• Dressing and Wrapping
• Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach
• The Collinear Limit of the Energy-Energy Correlator
• Anomalous dimensions of high-spin operators beyond the leading order
• Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
• Extension of HPL to complex arguments
• Next-to-Next-to-Leading Order Evolution of Non-Singlet Fragmentation Functions
• On quartic colour factors in splitting functions and the gluon cusp anomalous dimension
• Rethinking Jets with Energy Correlators: Tracks, Resummation and Analytic Continuation
• Quantum Gravity from Conformal Field Theory
• The method of regions and next-to-soft corrections in Drell-Yan production
• Five-Loop Anomalous Dimension of Twist-Two Operators
• Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order
• On Sudakov and Soft resummations in QCD
• Large-nf Contributions to the Four-Loop Splitting Functions in QCD
• On Third-Order Timelike Splitting Functions and Top-Mediated Higgs Decay into Hadrons
• Subleading Power Rapidity Divergences and Power Corrections for $q_T$
• On next-to-eikonal corrections to threshold resummation for the Drell-Yan and DIS cross sections
• Webs in multiparton scattering using the replica trick
• On the Next-to-Next-to-Leading Order Evolution of Flavour-Singlet Fragmentation Functions
• Non-abelian factorisation for next-to-leading-power threshold logarithms
• Diagrammatic insights into next-to-soft corrections
• Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints
• Triple collinear emissions in parton showers
• Triggering Soft Bombs at the LHC
• On Higgs-exchange DIS, physical evolution kernels and fourth-order splitting functions at large x
• N=4 SUSY Yang--Mills: three loops made simple(r)
• A Subleading Operator Basis and Matching for $gg\to H$
• On non-singlet physical evolution kernels and large-x coefficient functions in perturbative QCD
• A Complete Basis of Helicity Operators for Subleading Factorization
• One-loop amplitudes in $Ad{S}_5\times S^5$ supergravity from $\mathcal{N}=4$ SYM at strong coupling
• Energy correlations in the end-point region
• Five-loop contributions to low-N non-singlet anomalous dimensions in QCD
• Twist-three at five loops, Bethe Ansatz and wrapping
• QCD threshold corrections to di-lepton and Higgs rapidity distributions beyond N${}^2$LO
• Subleading Power Resummation of Rapidity Logarithms: The Energy-Energy Correlator in $\mathcal{N}=4$ SYM
• Exact kinematics in the small x evolution of the color dipole and gluon cascade
• Three-loop evolution equation for flavor-nonsinglet operators in off-forward kinematics
• Diagrammatic resummation of leading-logarithmic threshold effects at next-to-leading power
• Hadronic final states in deep-inelastic scattering with Sherpa
• Structure of large spin expansion of anomalous dimensions at strong coupling
• Large spin systematics in CFT
• Subleading Power Factorization with Radiative Functions
• Analytic Continuation and Reciprocity Relation for Collinear Splitting in QCD
• Three Point Energy Correlators in the Collinear Limit: Symmetries, Dualities and Analytic Results
• The hadronization of partons
• The Soft Quark Sudakov
• Threshold Resummation of the Structure Function F_L
• Crossing symmetry, transcendentality and the Regge behaviour of 1d CFTs
• Generalized double-logarithmic large-x resummation in inclusive deep-inelastic scattering
• Threshold corrections to rapidity distributions of Z and W^\pm bosons beyond N^2 LO at hadron colliders
• On threshold resummation beyond leading 1-x order
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• TMD Fragmentation Functions at N${}^3$LO
• Twist-2 at seven loops in planar N=4 SYM theory: Full result and analytic properties
• Twist 3 of the sl(2) sector of N=4 SYM and reciprocity respecting evolution
• Asymmetric jet clustering in deep-inelastic scattering
• Leading large-x logarithms of the quark-gluon contributions to inclusive Higgs-boson and lepton-pair production
• Fine structure of anomalous dimensions in N=4 super Yang-Mills theory
• On next to soft corrections to Drell-Yan and Higgs Boson productions
• Four loop reciprocity of twist two operators in N=4 SYM
• Resummation of small-x double logarithms in QCD: semi-inclusive electron-positron annihilation
• Three loop anomalous dimension of the non-singlet transversity operator in QCD
• Luescher formula for GKP string
• BFKL Spectrum of N=4 SYM: non-Zero Conformal Spin
• Resummation of small-x double logarithms in QCD: inclusive deep-inelastic scattering
• Two-loop coefficient function for DVCS: Vector contributions
• Helicity Methods for High Multiplicity Subleading Soft and Collinear Limits
• (medium-modified) Fragmentation Functions
• Large-x structure of physical evolution kernels in Deep Inelastic Scattering
• Jet fragmentation and gauge/string duality
• Reciprocity of gauge operators in N=4 SYM
• Twist operators in N=4 beta-deformed theory
• Leading logarithmic large-x resummation of off-diagonal splitting functions and coefficient functions
• Relating amplitude and PDF factorisation through Wilson-line geometries
• Resummed small-x and first-moment evolution of fragmentation functions in perturbative QCD
• Non-planar data of $\mathcal{N}=4$ SYM
• The $N_f{C}_F^3$ contribution to the non-singlet splitting function at four-loop order
• Higher spin currents in the critical $O(N)$ vector model at $1/N^2$
• Next-to-leading-power kinematic corrections to DVCS: a scalar target
• QCD properties of twist operators in the N=6 Chern-Simons theory
• An Introduction to Webs
• QCD threshold corrections to Higgs decay and to hadroproduction in $l^{+}{l}^{-}$ annihilation
• Two-loop splitting in double parton distributions
• Soft Fragmentation on the Celestial Sphere
• Leading jets and energy loss
• Towards three-loop QCD corrections to the time-like splitting functions
• The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in N=4 SYM and non-singlet QCD
• Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• Next-to-MLLA corrections to single inclusive kt-distributions and 2-particle correlations in a jet
• Generalized threshold resummation in inclusive DIS and semi-inclusive electron-positron annihilation
• Going beyond Soft plus Virtual
• Review of AdS/CFT Integrability, Chapter III.4: Twist states and the cusp anomalous dimension
• What are the low-$Q$ and large-$x$ boundaries of collinear QCD factorization theorems?
• Twist-2 at five loops: Wrapping corrections without wrapping computations
• ABJM quantum spectral curve and Mellin transform
• Double-logs, Gribov-Lipatov reciprocity and wrapping
• A factorization approach to next-to-leading-power threshold logarithms
• Non-planar cusp and transcendental anomalous dimension at four loops in N=4 supersymmetric Yang-Mills theory
• Small x resummation and the Odderon
• Systematic Quark/Gluon Identification with Ratios of Likelihoods
• Two-loop anomalous dimensions for small-$R$ jet versus hadronic fragmentation functions
• Integrability and the AdS/CFT correspondence
• Three-loop off-forward evolution kernel for axial-vector operators in Larin's scheme
• On next-to-eikonal exponentiation
• Generalized Gribov-Lipatov Reciprocity and AdS/CFT
• Semiclassical Strings in AdS_5 x S^5 and Automorphic Functions
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• Reciprocity and integrability in the sl(2) sector of N=4 SYM
• NNLO QCD corrections to the resonant sneutrino/slepton production at Hadron Colliders
• On threshold resummation of singlet structure and fragmentation functions
• Standard and SUSY Higgs production at the LHC
• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• Nonplanar Four-Loop Anomalous Dimensions of Twist-Two Operators in N=4 Super Yang-Mills Theory: Higher Moment, General Result, and Cusp Anomalous Dimension
• Generalised scaling at subleading order
• QCD Review
• Anomalous dimensions at small spins
• NNLO splitting and coefficient functions with time-like kinematics
• Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part
• QCD Beyond Leading Power
• Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrability
• Conformal moments of the two-loop coefficient functions in DVCS
• Anomalous dimensions of twist 2 operators and $\mathcal{N}=4$ SYM quantum spectral curve