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The Longitudinal Structure Function at the Third Order
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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.
Forward citations
Cited by 2 Pith papers
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Implementation of DIS at N$^3$LO for PDF determination
N³LO DIS implementation in VFNS with improved massive neutral-current coefficient approximation for PDF fits.
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Next-to-leading order evolution of structure functions without PDFs
The authors build a complete NLO momentum-space DGLAP evolution for a six-observable physical basis of DIS structure functions and compare its numerical results with conventional PDF-based evolution.
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