Efficient evaluation of massive Mellin-Barnes integrals
نویسندگان
چکیده
منابع مشابه
Asymptotics and Mellin-Barnes Integrals
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متن کاملAutomatized analytic continuation of Mellin-Barnes integrals
I describe a package written in MATHEMATICA that automatizes typical operations performed during evaluation of Feynman graphs with Mellin-Barnes (MB) techniques. The main procedure allows to analytically continue a MB integral in a given parameter without any intervention from the user and thus to resolve the singularity structure in this parameter. The package can also perform numerical integr...
متن کاملOn 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.m E-mail: [email protected] E-mail: [email protected]
متن کاملSalvatore Pincherle the pioneer of the Mellin-Barnes integrals
Salvatore Pincherle the pioneer of the Mellin-Barnes integrals Francesco MAINARDI, Gianni PAGNINI (1) Department of Physics, University of Bologna, and INFN, Via Irnerio 46, I-40126 Bologna, Italy Corresponding Author; E-mail: [email protected] ENEA: Italian Agency for New Technologies, Energy and the Environment Via Martiri di Monte Sole 4, I-40129 Bologna, Italy E-mail: gianni.pagni...
متن کاملEvaluating Two-Loop massive Operator Matrix Elements with Mellin-Barnes Integrals
The use of Mellin-Barnes integrals became a widespread technique for calculating Feynman diagrams throughout the last years [ 1], in particular to calculate double and triple box-diagrams. In Ref. [ 2], it was possible to expand the scalar two-loop two-point function in all orders in the dimensional regularization parameter ε, using additionally the gluing operation of Feynman diagrams, defined...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2017
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.95.076016