The Longitudinal Structure Function at the Third Order

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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11 pages, LaTeX, 4 eps-figures. DESY preprint number corrected

Scientific paper

10.1016/j.physletb.2004.11.063

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 and of the leading small-x terms in the flavour-singlet sector. In this letter we present compact and accurate parametrizations of the results and illustrate the numerical impact of the NNLO corrections.

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