Generalized double-logarithmic large-x resummation in inclusive deep-inelastic scattering

2010/12/15 by Andrea A. Almasy, A. A. Almasy, G. Soar +1 · 44 citations
Mathematics · Physics and Astronomy · #Context (archaeology) #Deep inelastic scattering #Factorization #Higgs boson #High-Energy Particle Collisions Research #Inelastic scattering #Logarithm #Massless particle #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Perturbative QCD #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Resummation #Scattering #Weierstrass factorization theorem #hep-ph

paper · pdf · doi:10.1007/jhep03(2011)030

published in Journal of High Energy Physics 2011(3) (Springer Nature) · 39 pages, LaTeX, 6 eps figures

arxiv created 2010/12/15 · openalex publication_date 2011/03/01 · arxiv updated 2011/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present all-order results for the highest three large-x logarithms of the splitting functions P_qg and P_gq and of the coefficient functions C_phi,q, C₂,g and C_L,g for structure functions in Higgs- and gauge-boson exchange DIS in massless perturbative QCD. The corresponding coefficients have been derived by studying the unfactorized partonic structure functions in dimensional regularization independently in terms of their iterative structure and in terms of the constraints imposed by the functional forms of the real- and virtual-emission contributions together with their Kinoshita--Lee-Nauenberg cancellations required by the mass-factorization theorem. The numerical resummation corrections are small for the splitting functions, but partly very large for the coefficient functions. The highest two (three for C_L,g) logarithms can be resummed in a closed form in terms of new special functions recently introduced in the context of the resummation of the leading logarithms

Citations

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