The third-order QCD corrections to deep-inelastic scattering by photon exchange
By Jos Vermaseren, A. Vogt, Sven-Olaf Moch. 2005
373 citations recorded by the source corpus.
We compute the full three-loop coefficient functions for the structure functions F2 and FL in massless perturbative QCD. The results for FL complete the next-to-next-to-leading order description of unpolarized electromagnetic deep-inelastic scattering. The third-order coefficient functions for F2 form, at not too small values of the Bjorken variable x, the dominant part of the next-to-next-to-next-to-leading order corrections, thus facilitating improved determinations of the strong coupling αs from scaling violations. The three-loop corrections to FL are larger than those for F2. Especially for the latter quantity the expansion in powers of αs is very stable, for photon virtualities Q2≫1GeV2, over the full x-range accessible to fixed-target and collider measurements.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/2c0d38ed1c78bfcf51700abf378da9e577eedc2f
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Citations in the corpus
- The Multiple Zeta Value data mine (2009, background): “Let Ew,d be the number of independent Euler sums at weightw > 2 and depthd that cannot be reduced to primitive Euler sums of lesser depth andtheir products.”
- 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,”
- A critical appraisal and evaluation of modern PDFs (2016, background): “(2)–(4) and to add the correct longitudinal structure functions [56,57], cf.”
- High precision determination of the gluon fusion Higgs boson cross-section at the LHC (2016, result): “This estimate is supported by the magnitude of the third-order corrections to the coefficient functions for deep inelastic scattering [96] and a”
- Collider physics at the precision frontier (2020, background): “It should also be mentioned that, apart from hadron collider cross sections, more inclusive quantities calculated at N(3)LO or beyond are known since some time, such as deep inelastic structure functions [36] or the Higgs decay to hadrons, which is available at N(4)LO [37–42].”
- 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,”
- Progress in the Determination of the Partonic Structure of the Proton (2013, methodology): “Currently, splitting functions are known up to NNLO [60, 61], and coefficient functions are known up to NNLO for several processes used for PDF determination, such as Drell–Yan rapidity distributions [62], though not yet for jet production (for DIS they are even known up to N3LO [63, 64]).”
- A Large Hadron Electron Collider at CERN: Report on the Physics and Design Concepts for Machine and Detector (2012, background): “The analysis could be extended to N(3)LO effectively due to the dominance of the Wilson coefficient in this order [88] if compared to the anomalous dimension, cf.”