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Numerical evaluation of multi-loop integrals for arbitrary kinematics with SecDec 2.0

Sophia Borowkaa
Jonathon Carter
Gudrun Heinrich
Journal / Anthology

Computer Physics Communications
Year: 2013
Volume: 184
Page range: 396-408

We present the program SecDec 2.0, which contains various new features. First, it allows the numerical evaluation of multi-loop integrals with no restriction on the kinematics. Dimensionally regulated ultraviolet and infrared singularities are isolated via sector decomposition, while threshold singularities are handled by a deformation of the integration contour in the complex plane. As an application, we present numerical results for various massive two-loop four-point diagrams. SecDec 2.0 also contains new useful features for the calculation of more general parameter integrals, related for example to phase space integrals.

*Science > Physics

Perturbation theory, Feynman diagrams, Infrared and threshold singularities, Numerical integration