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Nuclear Physics, Section B, ISSN 0550-3213, 02/2017, Volume 915, Issue C, pp. 335 - 362
We have computed the fourth-order nf2 contributions to all three non-singlet quark–quark splitting functions and their four nf3 flavour-singlet counterparts... 
Physics - High Energy Physics - Phenomenology
Journal Article
Journal of High Energy Physics, ISSN 1126-6708, 8/2017, Volume 2017, Issue 8, pp. 1 - 26
Journal Article
Physics Letters B, ISSN 0370-2693, 07/2018, Volume 782, pp. 627 - 632
We have computed the contributions of the quartic Casimir invariants to the four-loop anomalous dimensions of twist-2 spin-N operators at N≤16. The results... 
BETA-FUNCTION | QCD | EVOLUTION | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | OPERATORS | DEEP-INELASTIC SCATTERING | RENORMALIZATION | MOMENTS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Phenomenology
Journal Article
Nuclear Physics, Section B, ISSN 0550-3213, 12/2014, Volume 889, Issue C, pp. 351 - 400
Journal Article
Computer Physics Communications, ISSN 0010-4655, 05/2013, Volume 184, Issue 5, pp. 1453 - 1467
We present version 4.0 of the symbolic manipulation system Form. The most important new features are manipulation of rational polynomials and the factorization... 
02.70.Wz | Computational methods: Feynman diagrams | Computer algebra | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | SCHOONSCHIP | PHYSICS, MATHEMATICAL | PROGRAM
Journal Article
Journal of High Energy Physics, ISSN 1126-6708, 10/2017, Volume 2017, Issue 10, pp. 1 - 18
Journal Article
Physics Letters B, ISSN 0370-2693, 03/2019, Volume 790, pp. 436 - 443
We present the first calculations of next-to-next-to-next-to-next-to-leading order (N4LO) contributions to anomalous dimensions of spin-N twist-2 operators in... 
Evolution of quark distributions | Five-loop cusp anomalous dimension | Twist-2 anomalous dimensions | N4LO contributions | Perturbative QCD | LO contributions | BETA-FUNCTION | 3-LOOP SPLITTING FUNCTIONS | PHYSICS, NUCLEAR | EVOLUTION | OPERATION | ASTRONOMY & ASTROPHYSICS | TO-LEADING ORDER | (NLO)-L-4 contributions | PHYSICS, PARTICLES & FIELDS | Quarks
Journal Article
Physics Letters B, ISSN 0370-2693, 09/2015, Volume 748, Issue C, pp. 432 - 438
We discuss the prescription for the Dirac matrix γ5 in dimensional regularization used in most second- and third-order QCD calculations of collider cross... 
Journal Article
Nuclear Physics, Section B, ISSN 0550-3213, 2005, Volume 724, Issue 1, pp. 3 - 182
We compute the full three-loop coefficient functions for the structure functions F 2 and F L in massless perturbative QCD. The results for F L complete the... 
COEFFICIENT FUNCTIONS | MULTILOOP FEYNMAN-INTEGRALS | ANALYTIC CONTINUATION | BETA-FUNCTION | SINGLET STRUCTURE FUNCTIONS | 3-LOOP SPLITTING FUNCTIONS | TO-LEADING ORDER | BJORKEN SUM-RULE | 2ND-ORDER CONTRIBUTIONS | LONGITUDINAL STRUCTURE-FUNCTION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Phenomenology
Journal Article
Computer Physics Communications, ISSN 0010-4655, 2010, Volume 181, Issue 8, pp. 1419 - 1427
We present TFORM, the version of the symbolic manipulation system FORM that can make simultaneous use of several processors in a shared memory architecture.... 
Computer algebra | 3-LOOP SPLITTING FUNCTIONS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | QCD | PHYSICS, MATHEMATICAL | PROGRAM | Running | Portability | Operating systems | Architecture | Processors | C (programming language)
Journal Article
Nuclear Physics B, ISSN 0550-3213, 05/2009, Volume 813, Issue 1-2, pp. 220 - 258
We compute the coefficient function for the charge-averaged W -exchange structure function F in deep-inelastic scattering (DIS) to the third order in massless... 
Journal Article
Journal of High Energy Physics, ISSN 1029-8479, 12/2017, Volume 2017, Issue 12, pp. 1 - 1
Journal Article
Nuclear Physics, Section B, ISSN 0550-3213, 2004, Volume 691, Issue 1, pp. 129 - 181
We compute the next-to-next-to-leading order (NNLO) contributions to the splitting functions governing the evolution of the unpolarized flavour-singlet parton... 
international | CCFR DATA | DEEP-INELASTIC-SCATTERING | FREE GAUGE-THEORIES | NNLO EVOLUTION | MELLIN TRANSFORMS | TO-LEADING ORDER | PARTON DENSITIES | 2ND-ORDER CONTRIBUTIONS | ANOMALOUS DIMENSIONS | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Phenomenology
Journal Article
Computer Physics Communications, ISSN 0010-4655, 2010, Volume 181, Issue 3, pp. 582 - 625
We provide a data mine of proven results for Multiple Zeta Values (MZVs) of the form ζ ( s 1 , s 2 , … , s k ) = ∑ n 1 > n 2 > ⋯ > n k > 0 ∞ { 1 / ( n 1 s 1 ⋯... 
DERIVATION | POLYLOGARITHMS | LYNDON WORDS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | QCD | DEEP-INELASTIC-SCATTERING | FEYNMAN DIAGRAMS | HARMONIC SUMS | 3-LOOP SPLITTING FUNCTIONS | MELLIN TRANSFORMS | PHYSICS, MATHEMATICAL | ALGEBRAIC RELATIONS
Journal Article
Physics Letters B, ISSN 0370-2693, 01/2005, Volume 606, Issue 1-2, pp. 123 - 129
Journal Article