The longitudinal structure function at the third order

By Sven-Olaf Moch, Jos Vermaseren, A. Vogt. 2004

166 citations recorded by the source corpus.

Abstract 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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/407e9a091bf4e586e145bc465b673bce431564dd

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In Nuclear and High Energy Physics

Citations in the corpus

PDF4LHC recommendations for LHC Run II (2015, background): “Eventually, one might even want to further improve the accuracy of global sets by using approximate N3LO calculations when available (for example for deep-inelastic coefficient functions [139,140]).”
Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes (2012, background): “es it was realized however that for certain multi-loop integrals new classes of transcendental functions arise that can no longer be expressed in terms of the classical polylogarithm functions, e.g., [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28,”
From polygons and symbols to polylogarithmic functions (2011, methodology): “higher order corrections to physical observables requires the analytical evaluation of Feynman integrals that can generally be expressed in terms of (special classes of) multiple polylogarithms, e.g. [25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49,”
A critical appraisal and evaluation of modern PDFs (2016, background): “(2)–(4) and to add the correct longitudinal structure functions [56,57], cf.”
The Structure of the Proton in the LHC Precision Era (2017, background): “massless limit [208, 209], and up to O ( α(2)s ) taking into account heavy quark mass effects [155, 156], though”