Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-08-05
PoS DIS2010:139,2010; Nucl.Phys.Proc.Suppl.205-206:250-255,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
6 pages, LaTeX, 2 ps/eps-figures. Contribution to the proceedings of the workshops `Loops and Legs in Quantum Field Theory', A
Scientific paper
10.1016/j.nuclphysbps.2010.09.00
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.
Moch Sven
Soar G.
Vermaseren J. A. M.
Vogt Adam
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