NNLO splitting and coefficient functions with time-like kinematics

Abstract

We discuss recent results on the three-loop (next-to-next-to-leading order, NNLO) time-like splitting functions of QCD and the two-loop (NNLO) coefficient functions in one-particle inclusive e+e- annihilation. These results form the basis for extracting fragmentation functions for light and heavy flavors with NNLO accuracy that will be needed at the LHC and ILC. The two-loop calculations have been performed in Mellin space based on a new method, the main features of which we also describe briefly.

Presented by A.M. at Loops and Legs in Quantum Field Theory, 23-28 April 2006, Eisenach, Germany

References in corpus (27)

• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• Higgs boson production at hadron colliders in NNLO QCD
• The Three-Loop Splitting Functions in QCD: The Singlet Case
• Harmonic sums, Mellin transforms and Integrals
• The third-order QCD corrections to deep-inelastic scattering by photon exchange
• Automatic Integral Reduction for Higher Order Perturbative Calculations
• Deep Inelastic Structure Functions at two Loops
• The Quark Form Factor at Higher Orders
• Revisiting parton evolution and the large-x limit
• The Longitudinal Structure Function at the Third Order
• Four-Particle Phase Space Integrals in Massless QCD
• Connections between Deep-Inelastic and Annihilation Processes at Next-to-Next-to-Leading Order and Beyond
• Next-to-Next-to-Leading Order Evolution of Non-Singlet Fragmentation Functions
• QCD analysis of first b cross section data at 1.96 TeV
• - XSummer - Transcendental Functions and Symbolic Summation in Form
• Is There a Significant Excess in Bottom Hadroproduction at the Tevatron?
• Higher order QCD corrections to the transverse and longitudinal fragmentation functions in electron-positron annihilation
• QCD Corrections to Semi-Inclusive Hadron Production in Electron-Positron Annihilation at Two Loops
• Perturbative Heavy Quark Fragmentation Function through O(alpha_s^2)
• On the Drell-Levy-Yan Relation to $O({\alpha }_s^2)$
• The Generalized Crewther Relation in QCD and its Experimental Consequences
• $O({\alpha }_s^2)$ Contributions to the longitudinal fragmentation function in $e^{+}{e}^{-}$ annihilation
• Next-to-Leading Order Evolution of Polarized and Unpolarized Fragmentation Functions
• Perturbative Heavy Quark Fragmentation Function through O(α_s^2): Gluon Initiated Contribution
• $O({\alpha }_s^2)$ Contributions to the asymmetric fragmentation function in $e^{+}{e}^{-}$ annihilation
• Crossing Heavy-Flavour Thresholds in Fragmentation Functions
• Evolution Kernels from Splitting Amplitudes

Cited by in corpus (2)

• Global analysis of fragmentation functions for pions and kaons and their uncertainties
• The Physics of the B Factories