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We compute the next-to-next-to-leading order (NNLO) contributions to the splitting functions governing the evolution of the unpolarized flavour-singlet parton densities in perturbative QCD. The exact expressions are presented in both Mellin-N and Bjorken-x space. We also provide accurate parametrizations for practical applications. Our results agree with(More)
We compute the complete third-order contributions to the coefficient functions for the longitudinal structure function F L , thus completing the next-to-next-to-leading order (NNLO) description of unpolarized electromagnetic deep-inelastic scattering in massless perturbative QCD. Our exact results agree with determinations of low even-integer Mellin moments(More)
We have computed the next-to-next-to-leading-order (NNLO) contributions to the evolution of unpolarized parton distributions in perturbative QCD [1,2]. In this talk, we briefly recall why this huge computation was necessary and outline how it was performed. We then illustrate the structure of the results and discuss their end-point limits which include the(More)
We compute the fermionic (n f) contributions to the flavour non-singlet structure functions in un-polarized electromagnetic deep-inelastic scattering at third order of massless perturbative QCD. Complete results are presented for the corresponding n f-parts of the three-loop anomalous dimension and the three-loop coefficient functions for the structure(More)
The soft-gluon resummation exponents G N in moment space are investigated for the quark coefficient functions in deep-inelastic structure functions and the quark-antiquark contribution to the Drell-Yan cross section dσ/dM. Employing results from two-and three-loop calculations we obtain the next-to-next-to-leading logarithmic terms α s (α s ln N) n of G N(More)
We have investigated the next-to-next-to-leading order (NNLO) corrections to inclusive hadron production in e + e − annihilation and the related parton fragmentation distributions, the 'time-like' counterparts of the 'space-like' deep-inelastic structure functions and parton densities. We have re-derived the corresponding second-order coefficient functions(More)
As a first step towards the complete calculation of deep-inelastic scattering at third order of massless pertur-bative QCD, we have computed the fermionic (n f) contributions to the flavour non-singlet structure functions in unpolarized electromagnetic scattering. We briefly discuss the approach chosen for this calculation, the problems we encountered and(More)