Two-loop massive operator matrix elements for unpolarized heavy flavor production to O(ε)
- 1. Deutsches Elektronen-Synchrotron (DESY), Zeuthen (Germany)
- 2. Johannes Kepler Univ., Linz (Austria). Research Inst. for Symbolic Computation
Description
We calculate the O(α2s) massive operator matrix elements for the twist-2 operators, which contribute to the heavy flavor Wilson coefficients in unpolarized deeply inelastic scattering in the region Q2>>m2, up to the O(ε) contributions. These terms contribute through the renormalization of the O(α3s) heavy flavor Wilson coefficients of the structure function F2(x,Q2). The calculation has been performed using light-cone expansion techniques without using the integration-by-parts method. We represent the individual Feynman diagrams by generalized hypergeometric structures, the ε-expansion of which leads to infinite sums depending on the Mellin variable N. These sums are finally expressed in terms of nested harmonic sums using the general summation techniques implemented in the Sigma package. (orig.)
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Additional details
Publishing Information
- Imprint Pagination
- 42 p.
- ISSN
- 0418-9833
- Report number
- DESY--08-029
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 39043127
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- CHARGE RENORMALIZATION; CORRECTIONS; DEEP INELASTIC SCATTERING; FACTORIZATION; FEYNMAN DIAGRAM; FLAVOR MODEL; HYPERGEOMETRIC FUNCTIONS; LIGHT CONE; MASS RENORMALIZATION; MATRIX ELEMENTS; NUCLEONS; PARTICLE STRUCTURE; PERTURBATION THEORY; POWER SERIES; QUANTUM CHROMODYNAMICS; QUANTUM OPERATORS; REST MASS; STRUCTURE FUNCTIONS; WAVE FUNCTIONS
- Descriptors DEC
- BARYONS; COMPOSITE MODELS; DIAGRAMS; ELEMENTARY PARTICLES; FERMIONS; FIELD THEORIES; FUNCTIONS; HADRONS; INELASTIC SCATTERING; INFORMATION; INTERACTIONS; LEPTON-BARYON INTERACTIONS; LEPTON-HADRON INTERACTIONS; LEPTON-NUCLEON INTERACTIONS; MASS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PARTICLE INTERACTIONS; PARTICLE MODELS; QUANTUM FIELD THEORY; QUARK MODEL; RENORMALIZATION; SCATTERING; SERIES EXPANSION; SPACE-TIME
Optional Information
- Secondary number(s)
- SFB-CPP--08-16; SFB-F--013