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Iterated integrals related to Feynman integrals associated to elliptic curves
Stefan Weinzierl
This talk reviews Feynman integrals, which are associated to elliptic curves. The talk will give an introduction into the mathematics behind them, covering the topics of elliptic c…
Applications of intersection numbers in physics
Stefan Weinzierl
In this review I discuss intersection numbers of twisted cocycles and their relation to physics. After defining what these intersection number are, I will first discuss a method fo…
Modular transformations of elliptic Feynman integrals
Stefan Weinzierl
We investigate the behaviour of elliptic Feynman integrals under modular transformations. This has a practical motivation: Through a suitable modular transformation we can achieve…
Numerical evaluation of iterated integrals related to elliptic Feynman integrals
Moritz Walden, Stefan Weinzierl
We report on an implementation within GiNaC to evaluate iterated integrals related to elliptic Feynman integrals numerically to arbitrary precision within the region of convergence…
Correlation functions on the lattice and twisted cocycles
Stefan Weinzierl
We study linear relations among correlation functions on a lattice obtained from integration-by-parts identities. We use the framework of twisted cocycles and determine for a scala…
Cutoff dependence of the thrust peak position in the dipole shower
Robin Baumeister, Stefan Weinzierl
We analyse the dependence of the peak position of the thrust distribution on the cutoff value in the Nagy-Soper dipole shower. We compare the outcome of the parton shower simulatio…