Top quark pairs at two loops and Reduze 2

von Manteuffel A, Studerus C (2012)
In: Proceedings, 11th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory. Riemann T (Ed);.

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Author
;
Editor
Riemann, Tord
Abstract
We report on progress for the analytical calculation of the two-loopcorrections to top quark pair production at hadron colliders. For the lightfermionic corrections in the gluon channel, we discuss the analytical solutionfor the master integrals of a non-planar double box with a massive propagator.The result in terms of Goncharov's multiple polylogarithms is handled usingsystematic reductions based on the symbol map and the coproduct. We discuss newfeatures of the computer program Reduze 2. It provides a fully distributedvariant of Laporta's algorithm to reduce loop integrals. New graph matroidbased algorithms allow to calculate shift relations between Feynman integralsin a fully automated way.
Publishing Year
Conference
11th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory
Location
Wernigerode, Germany
Conference Date
2012-04-15 – 2012-04-20
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Cite this

von Manteuffel A, Studerus C. Top quark pairs at two loops and Reduze 2. In: Riemann T, ed. Proceedings, 11th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory. 2012.
von Manteuffel, A., & Studerus, C. (2012). Top quark pairs at two loops and Reduze 2. In T. Riemann (Ed.), Proceedings, 11th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory.
von Manteuffel, A., and Studerus, C. (2012). “Top quark pairs at two loops and Reduze 2” in Proceedings, 11th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory, ed. T. Riemann.
von Manteuffel, A., & Studerus, C., 2012. Top quark pairs at two loops and Reduze 2. In T. Riemann, ed. Proceedings, 11th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory.
A. von Manteuffel and C. Studerus, “Top quark pairs at two loops and Reduze 2”, Proceedings, 11th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory, T. Riemann, ed., 2012.
von Manteuffel, A., Studerus, C.: Top quark pairs at two loops and Reduze 2. In: Riemann, T. (ed.) Proceedings, 11th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory. (2012).
von Manteuffel, Andreas, and Studerus, Cedric. “Top quark pairs at two loops and Reduze 2”. Proceedings, 11th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory. Ed. Tord Riemann. 2012.
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