On higher-order flavour-singlet splitting and coefficient functions at large x

Abstract

We discuss the large-x behaviour of the splitting functions P_qg and P_gq and of flavour-singlet coefficient functions, such as the gluon contributions C_2,g and C_L,g to the structure functions F_2,L, in massless perturbative QCD. These quantities are suppressed by one or two powers of 1-x with respect to the 1/(1-x) terms which are the subject of the well-known threshold exponentiation. We show that the double-logarithmic contributions to P_qg, P_gq and C_L at order alpha_s^4 can be predicted from known third-order results and present, as a first step towards a full all-order generalization, the leading-logarithmic large-x behaviour of P_qg, P_gq and C_2,g at all orders in alpha_s.

6 pages, LaTeX, 2 ps/eps-figures. Contribution to the proceedings of the workshops `Loops and Legs in Quantum Field Theory', April 2010, Woerlitz (Germany) and (shortened) DIS 2010 (Florence), April 2010

References in corpus (26)

• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• The Three-Loop Splitting Functions in QCD: The Singlet Case
• New features of FORM
• The Resummation of Soft Gluon in Hadronic Collisions
• The third-order QCD corrections to deep-inelastic scattering by photon exchange
• Factorization and Momentum-Space Resummation in Deep-Inelastic Scattering
• The 3-loop QCD calculation of the moments of deep inelastic structure functions
• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• Deep inelastic scattering as x -> 1 using soft-collinear effective theory
• The Longitudinal Structure Function at the Third Order
• Path integral approach to eikonal and next-to-eikonal exponentiation
• Mellin Moments of the {$O({\alpha }_s^3$)} Heavy Flavor Contributions to unpolarized Deep-Inelastic Scattering at $Q^2\gg m^2$ and Anomalous Dimensions
• Antenna subtraction at NNLO with hadronic initial states: initial-final configurations
• Resummation of Threshold Logarithms in Effective Field Theory For DIS, Drell-Yan and Higgs Production
• Higher-Order Corrections in Threshold Resummation
• Third-order QCD corrections to the charged-current structure function F_3
• Improved Approximations for the Three-Loop Splitting Functions in QCD
• On the Drell-Levy-Yan Relation to $O({\alpha }_s^2)$
• On Higgs-exchange DIS, physical evolution kernels and fourth-order splitting functions at large x
• On non-singlet physical evolution kernels and large-x coefficient functions in perturbative QCD
• Physical Anomalous Dimensions at Small $x$
• Threshold Resummation of the Structure Function F_L
• Differences between charged-current coefficient functions
• Charged current deep-inelastic scattering at three loops
• Leading logarithmic large-x resummation of off-diagonal splitting functions and coefficient functions
• Higher-order predictions for splitting functions and coefficient functions from physical evolution kernels

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• Factorization Properties of Soft Graviton Amplitudes
• Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach
• Generalized double-logarithmic large-x resummation in inclusive deep-inelastic scattering
• Absence of pi^2 terms in physical anomalous dimensions in DIS: verification and resulting predictions
• Generalized threshold resummation in inclusive DIS and semi-inclusive electron-positron annihilation
• Generalized threshold resummation for semi-inclusive e+e- annihilation