On the resolution of singularities of multiple Mellin–Barnes integrals

On the resolution of singularities of multiple Mellin–Barnes integrals

One of the two existing strategies of resolving singularities of multifold Mellin–Barnes integrals in the dimensional regularization parameter, or a parameter of the analytic regularization, is formulated in a modified form. The corresponding algorithm is implemented as a Mathematica code MBresolve....

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Veröffentlicht in:The European physical journal. C, Particles and fields Particles and fields, 2009-07, Vol.62 (2), p.445-449
Hauptverfasser: Smirnov, A. V., Smirnov, V. A.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Astronomy
Astrophysics and Cosmology
Elementary Particles
Hadrons
Heavy Ions
Integrals
Mathematical analysis
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Parameter modification
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regularization
Singularities
Special Article - Tools for Experiment and Theory
Strategy
String Theory
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Beschreibung
Zusammenfassung:One of the two existing strategies of resolving singularities of multifold Mellin–Barnes integrals in the dimensional regularization parameter, or a parameter of the analytic regularization, is formulated in a modified form. The corresponding algorithm is implemented as a Mathematica code MBresolve.m
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-009-1039-6