Numerical evaluation of multi-loop integrals for arbitrary kinematics with SecDec 2.0
arXiv:1204.4152 · doi:10.1016/j.cpc.2012.09.020
Abstract
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 e.g. to phase space integrals.
34 pages, 11 figures, replaced by published version
References in corpus (24)
- A novel subtraction scheme for double-real radiation at NNLO
- Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
- Sector Decomposition
- Resolution of singularities for multi-loop integrals
- Tops from Light Quarks: Full Mass Dependence at Two-Loops in QCD
- Next-to-leading order QCD corrections to t-tbar-Z production at the LHC
- SecDec: A general program for sector decomposition
- A subtraction scheme for NNLO computations
- Numerical integration of one-loop Feynman diagrams for N-photon amplitudes
- Two-Loop Fermionic Corrections to Heavy-Quark Pair Production: the Quark-Antiquark Channel
- QCD corrections to tri-boson production
- Heavy-quark production in massless quark scattering at two loops in QCD
- Two-Loop Planar Corrections to Heavy-Quark Pair Production in the Quark-Antiquark Channel
- Numerical NLO QCD calculations
- Numerical Evaluation of Tensor Feynman Integrals in Euclidean Kinematics
- Two-Loop Leading Color Corrections to Heavy-Quark Pair Production in the Gluon Fusion Channel
- NLO results for five, six and seven jets in electron-positron annihilation
- A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the iterated singly-unresolved subtraction terms
- The two-loop QCD amplitude gg -> h,H in the Minimal Supersymmetric Standard Model
- On the factorization of overlapping singularities at NNLO
- FormCalc 7
- Numerical Computation of Two-loop Box Diagrams with Masses
- Two-Loop Vertices in Quantum Field Theory: Infrared and Collinear Divergent Configurations
- Semi-numerical power expansion of Feynman integrals
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