Published June 2012
| Version v1
Report
Open
Massive 3-loop ladder diagrams for quarkonic local operator matrix elements
Creators
- 1. Johannes Kepler Univ., Linz (Austria). Research Inst. for Symbolic Computation
- 2. Deutsches Elektronen-Synchrotron (DESY), Zeuthen (Germany)
- 3. Technische Hochschule Aachen (Germany). Inst. fuer Theoretische Physik
Description
3-loop diagrams of the ladder-type, which emerge for local quarkonic twist-2 operator matrix elements, are computed directly for general values of the Mellin variable N using Appell-function representations and applying modern summation technologies provided by the package Sigma and the method of hyperlogarithms. In some of the diagrams generalized harmonic sums with ξ element of {1,1/2,2} emerge beyond the usual nested harmonic sums. As the asymptotic representation of the corresponding integrals shows, the generalized sums conspire giving well behaved expressions for large values of N. These diagrams contribute to the 3-loop heavy flavor Wilson coefficients of the structure functions in deep-inelastic scattering in the region Q2 >> m2.
Files
43072644.pdf
Files
(335.3 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:6a92e853eba8619ff76367906364a18a
|
335.3 kB | Preview Download |
Additional details
Publishing Information
- Imprint Pagination
- 32 p.
- ISSN
- 0418-9833
- Report number
- DESY--12-056
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 43072644
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ASYMPTOTIC SOLUTIONS; DEEP INELASTIC SCATTERING; FEYNMAN DIAGRAM; FLAVOR MODEL; INTEGRALS; LADDER APPROXIMATION; LOCALITY; MATRIX ELEMENTS; PROPAGATOR; QUANTUM OPERATORS; QUARKS; REST MASS; S CODES; STRUCTURE FUNCTIONS
- Descriptors DEC
- APPROXIMATIONS; CALCULATION METHODS; COMPOSITE MODELS; COMPUTER CODES; DIAGRAMS; FERMIONS; FUNCTIONS; INELASTIC SCATTERING; INFORMATION; INTERACTIONS; LEPTON-BARYON INTERACTIONS; LEPTON-HADRON INTERACTIONS; LEPTON-NUCLEON INTERACTIONS; MASS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; PARTICLE INTERACTIONS; PARTICLE MODELS; QUARK MODEL; SCATTERING
Optional Information
- Secondary number(s)
- DO-TH--12/17; TTK--12-26; SFB-CPP--12-37; LPN--12-055