On the resolution of singularities of multiple Mellin–Barnes integrals

By Alexander V. Smirnov, Vladimir A. Smirnov. 2009

179 citations recorded by the source corpus.

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

Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9d2aed2052f1bc00be97bb1ddd92c2b81bd6c914

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In Applied Mathematics

In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

Citations in the corpus

Soft triple-real radiation for Higgs production at N3LO (2013, methodology): “We proceed in the standard way: we apply the packages MB [90], MBresolve [91] and barnesroutines [92] to resolve singularities in ǫ and to expand the resulting integrals – 35 – under the integration sign and apply Barnes’ lemmas in an automated way.”
An analytic result for the two-loop hexagon Wilson loop in N = 4 SYM (2010, methodology): “To this effect, we apply the codes MB [37] and MBresolve [38] and obtain a set of MellinBarnes integrals that can be safely expanded in ǫ under the integration sign.”
Collider physics at the precision frontier (2020, methodology): “m [703], a tool realising another strategy of resolving”