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 quarkâ€“quark splitting functions and their four nf3 flavour-singlet counterparts...

Physics - High Energy Physics - Phenomenology

Physics - High Energy Physics - Phenomenology

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 8/2017, Volume 2017, Issue 8, pp. 1 - 26

We present the first determination of Higgs-boson decay to hadrons at the next-to-next-to-next-to-next-to-leading order of perturbative QCD in the limit of a...

Perturbative QCD | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Higgs Physics | Physics | Elementary Particles, Quantum Field Theory | Phenomenology | High Energy Physics - Phenomenology | High Energy Physics | Experiment | Nuclear and particle physics. Atomic energy. Radioactivity | Lattice

Perturbative QCD | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Higgs Physics | Physics | Elementary Particles, Quantum Field Theory | Phenomenology | High Energy Physics - Phenomenology | High Energy Physics | Experiment | Nuclear and particle physics. Atomic energy. Radioactivity | Lattice

Journal Article

3.
Full Text
On quartic colour factors in splitting functions and the gluon cusp anomalous dimension

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 Nâ‰¤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

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

We present the next-to-next-to-leading order (NNLO) contributions to the main splitting functions for the evolution of longitudinally polarized parton...

COEFFICIENT FUNCTIONS | PERTURBATION-THEORY | FREE GAUGE-THEORIES | POLARIZED PARTON DISTRIBUTIONS | TO-LEADING ORDER | SINGLET CONTRIBUTION | DIMENSIONAL REGULARIZATION | HARMONIC POLYLOGARITHMS | ANOMALOUS DIMENSIONS | DEEP-INELASTIC SCATTERING | PHYSICS, PARTICLES & FIELDS | Electromagnetism | Quarks | Physics - High Energy Physics - Phenomenology

COEFFICIENT FUNCTIONS | PERTURBATION-THEORY | FREE GAUGE-THEORIES | POLARIZED PARTON DISTRIBUTIONS | TO-LEADING ORDER | SINGLET CONTRIBUTION | DIMENSIONAL REGULARIZATION | HARMONIC POLYLOGARITHMS | ANOMALOUS DIMENSIONS | DEEP-INELASTIC SCATTERING | PHYSICS, PARTICLES & FIELDS | Electromagnetism | Quarks | Physics - High Energy Physics - Phenomenology

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

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

We present the complete set of vertex, wave function and charge renormalisation constants in QCD in a general simple gauge group and with the complete...

Perturbative QCD | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SCHEME | BETA-FUNCTION | LANDAU GAUGE | BEHAVIOR | QUARK MASS | O(ALPHA(S)) | R-STAR-OPERATION | ANOMALOUS DIMENSIONS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Phenomenology

Perturbative QCD | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SCHEME | BETA-FUNCTION | LANDAU GAUGE | BEHAVIOR | QUARK MASS | O(ALPHA(S)) | R-STAR-OPERATION | ANOMALOUS DIMENSIONS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Phenomenology

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

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

Journal of High Energy Physics, ISSN 1126-6708, 2/2017, Volume 2017, Issue 2, pp. 1 - 18

We have computed the five-loop corrections to the scale dependence of the renormalized coupling constant for Quantum Chromodynamics (QCD), its generalization...

Perturbative QCD | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | LOOP | R-STAR-OPERATION | DEEP-INELASTIC SCATTERING | DIAGRAMS | QCD | BACKGROUND FIELD METHOD | REGULARIZATION | ANOMALOUS DIMENSIONS | ABELIAN GAUGE-THEORIES | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Atoms | Yang-Mills theory | Mathematical analysis | Quantum electrodynamics | Lie groups | Texts | Constants | Mathematical models | Quantum chromodynamics | Physics - High Energy Physics - Phenomenology | Phenomenology | High Energy Physics - Phenomenology | High Energy Physics | Nuclear and High Energy Physics | Lattice

Perturbative QCD | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | LOOP | R-STAR-OPERATION | DEEP-INELASTIC SCATTERING | DIAGRAMS | QCD | BACKGROUND FIELD METHOD | REGULARIZATION | ANOMALOUS DIMENSIONS | ABELIAN GAUGE-THEORIES | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Atoms | Yang-Mills theory | Mathematical analysis | Quantum electrodynamics | Lie groups | Texts | Constants | Mathematical models | Quantum chromodynamics | Physics - High Energy Physics - Phenomenology | Phenomenology | High Energy Physics - Phenomenology | High Energy Physics | Nuclear and High Energy Physics | Lattice

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 Î³5 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

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)

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

To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http://dx.doi.org/10.1007/JHEP12(2017)006

Perturbative QCD | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Measuring instruments | Gauges | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics | Lattice

Perturbative QCD | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Measuring instruments | Gauges | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics | Lattice

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

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 Î¶ ( s 1 , s 2 , â€¦ , s k ) = âˆ‘ n 1 > n 2 > â‹¯ > n k > 0 âˆž { 1 / ( n 1 s 1 â‹¯...

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

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

Journal of High Energy Physics, ISSN 1126-6708, 10/2017, Volume 2017, Issue 10, pp. 1 - 80

We present the next-to-next-to-next-to-leading order (N3LO) contributions to the non-singlet splitting functions for both parton distribution and fragmentation...

Resummation | Perturbative QCD | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PARTON DISTRIBUTIONS | HIGGS-BOSON PRODUCTION | FRAGMENTATION FUNCTIONS | LEADING ORDER EVOLUTION | DEEP-INELASTIC-SCATTERING | FREE GAUGE-THEORIES | NNLO EVOLUTION | STRUCTURE-FUNCTION F-2(X | 2ND-ORDER CONTRIBUTIONS | ANOMALOUS DIMENSIONS | PHYSICS, PARTICLES & FIELDS | Quarks | Operators (mathematics) | Splitting | Yang-Mills theory | Quantum chromodynamics | Fragmentation

Resummation | Perturbative QCD | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PARTON DISTRIBUTIONS | HIGGS-BOSON PRODUCTION | FRAGMENTATION FUNCTIONS | LEADING ORDER EVOLUTION | DEEP-INELASTIC-SCATTERING | FREE GAUGE-THEORIES | NNLO EVOLUTION | STRUCTURE-FUNCTION F-2(X | 2ND-ORDER CONTRIBUTIONS | ANOMALOUS DIMENSIONS | PHYSICS, PARTICLES & FIELDS | Quarks | Operators (mathematics) | Splitting | Yang-Mills theory | Quantum chromodynamics | Fragmentation

Journal Article

Physics Letters B, ISSN 0370-2693, 01/2005, Volume 606, Issue 1-2, pp. 123 - 129

We compute the complete third-order contributions to the coefficient functions for the longitudinal structure function FL, thus completing the...

INELASTIC STRUCTURE FUNCTIONS | CROSS-SECTIONS | 3-LOOP SPLITTING FUNCTIONS | PHYSICS, NUCLEAR | 3 LOOPS | SINGLET STRUCTURE FUNCTIONS | ASTRONOMY & ASTROPHYSICS | TO-LEADING-ORDER | NNLO EVOLUTION | QCD ANALYSIS | SCATTERING | MOMENTS | PHYSICS, PARTICLES & FIELDS | Electromagnetism | Physics - High Energy Physics - Phenomenology

INELASTIC STRUCTURE FUNCTIONS | CROSS-SECTIONS | 3-LOOP SPLITTING FUNCTIONS | PHYSICS, NUCLEAR | 3 LOOPS | SINGLET STRUCTURE FUNCTIONS | ASTRONOMY & ASTROPHYSICS | TO-LEADING-ORDER | NNLO EVOLUTION | QCD ANALYSIS | SCATTERING | MOMENTS | PHYSICS, PARTICLES & FIELDS | Electromagnetism | Physics - High Energy Physics - Phenomenology

Journal Article