Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)

Abstract

Up to the moment there are two known algorithms of sector decomposition: an original private algorithm of Binoth and Heinrich and an algorithm made public lastyear by Bogner and Weinzierl. We present a new program performing the sector decomposition and integrating the expression afterwards. The program takes a set of propagators and a set of indices as input and returns the epsilon-expansion of the corresponding integral.

References in corpus (3)

• Sector Decomposition
• Resolution of singularities for multi-loop integrals
• Master Integrals for Fermionic Contributions to Massless Three-Loop Form Factors

Cited by in corpus (7)

• Fermionic contributions to the three-loop static potential
• Two-Loop Planar Corrections to Heavy-Quark Pair Production in the Quark-Antiquark Channel
• NNLO corrections to inclusive semileptonic B decays in the shape-function region
• Nine-Propagator Master Integrals for Massless Three-Loop Form Factors
• Completely automated computation of the heavy-fermion corrections to the three-loop matching coefficient of the vector current
• $\mathcal{O}(\alpha {\alpha }_s)$ corrections to the $\gamma t\bar{t}$ vertex at the top quark threshold
• Threshold corrections to the gamma t anti-t vertex at O(alpha alpha(s))