Threshold resummation of the structure functionFL

2009/02/13 by S. Moch, A. Vogt
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1088/1126-6708/2009/04/081

published as JHEP 0904:081,2009 · 9 pages, LaTeX, 1 eps-figure

arxiv created 2009/02/13 · openalex publication_date 2009/04/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The behaviour of the quark coefficient function for the longitudinal structure function F_L in deep-inelastic scattering is investigated for large values of the Bjorken variable x. We combine a highly plausible conjecture on the large-x limit of the physical evolution kernel for this quantity with our explicit three-loop results to derive the coefficients of the three leading large-x logarithms, alpha_sⁿ ln^(2n-1-k) (1-x), k = 1, 2, 3, to all orders in the strong coupling constant alpha_s. Corresponding results are derived for the non-C_F part of the gluon coefficient function suppressed by a factor 1-x, and for the analogous subleading (1-x) ln^k (1-x) contributions in the quark case. Our results appear to indicate an obstacle for an exponentiation with a higher logarithmic accuracy.

Citations

• New features of FORM
• Threshold resummation to any order in (1-x)
• The Large-x Factorization of the Longitudinal Structure Function
• The 3-loop QCD calculation of the moments of deep inelastic structure functions
• Revisiting parton evolution and the large-x limit
• Next-to-next-to-leading order evolution of non-singlet fragmentation functions
• On next-to-eikonal corrections to threshold resummation for the Drell–Yan and DIS cross sections