O(αs2) timelike Wilson coefficients for parton–fragmentation functions in Mellin space

2006/04/03 by J. Blümlein, V. Ravindran · 8 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ex #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2006.04.032

published as Nucl.Phys.B749:1-24,2006 · 25 pages

arxiv created 2006/04/03 · openalex publication_date 2006/06/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We calculate the Mellin moments of the O(α_s²) coefficient functions for the unpolarized and polarized fragmentation functions. They can be expressed in terms of multiple finite harmonic sums of maximal weight \sf w = 4. Using algebraic and structural relations between harmonic sums one finds that besides the single harmonic sums only three basic sums and their derivatives w.r.t. the summation index contribute. The Mellin moments are analytically continued to complex values of the Mellin variable. This representation significantly reduces the large complexity being present in x--space calculations and allow very compact and fast numerical implementations.

Citations

• On the Mellin Transform of the Coefficient Functions of F_L(x,Q²)
• Harmonic Polylogarithms

Cited by

• Two-loop massive operator matrix elements for unpolarized heavy flavor production to O(ϵ)
• Structural Relations between Nested Harmonic Sums
• QCD threshold corrections to Higgs decay and to hadroproduction in l+l− annihilation
• Longitudinal heavy quark structure function FLQQ¯ in the region Q2≫m2 at O(αs3)
• Status of Deeply Inelastic Parton Distributions
• Reference results for time-like evolution up to O α s 3 O(α_s³)
• Two-loop massive operator matrix elements and unpolarized heavy flavor production at asymptotic values Q2≫m2
• Analytic computing methods for precision calculations in quantum field theory