Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New prospects for the numerical calculation of Mellin-Barnes integrals
  in Minkowskian kinematics   During the last several years remarkable progress has been made in numerical
calculations of dimensionally regulated multi-loop Feynman diagrams using
Mellin-Barnes (MB) representations. The bottlenecks were non-planar diagrams
and Minkowskian kinematics. The method has been proved to work in highly
non-trivial physical application (two-loop electroweak bosonic corrections to
the $Z \to b \bar{{b}}$ decay), and cross-checked with the sector decomposition
(SD) approach. In fact, both approaches have their pros and cons. In
calculation of multidimensional integrals, depending on masses and scales
involved, they are complementary. A powerful top-bottom approach to the
numerical integration of multidimensional MB integrals is automatized in the
MB-suite AMBRE/MB/ MBtools/MBnumerics/CUBA. Key elements are a dedicated use of
the Cheng-Wu theorem for non-planar topologies and of shifts and deformations
of the integration contours. An alternative bottom-up approach starting with
complex 1-dimensional MB-integrals, based on the exploration of steepest
descent integration contours in Minkowskian kinematics, is also discussed.
Short and long term prospects of the MB-method for multi-loop applications to
LHC- and LC-physics are discussed.

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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: math
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol