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We compute the next-to-next-to-leading order (NNLO) contributions to the three splitting functions governing the evolution of unpolarized non-singlet combinations of quark densities in perturbative QCD. Our results agree with all partial results available in the literature. We find that the correct leading logarithmic (LL) predictions for small momentum… (More)

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)

Utilizing recent three-loop results on the quark and gluon splitting functions and form factors, we derive the complete threshold-enhanced third-order (N 3 LO) QCD corrections to the total cross sections for the production of lepton pairs and the Higgs boson in hadron collisions. These results, for the latter case obtained in the heavy top-quark limit, are… (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)

- A. VOGT
- 2004

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)

- Richard Squier, Bruce Torrence, Abdrew Vogt
- Appl. Math. Lett.
- 2001

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)

- A. Vogt
- 2008

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)