6533b831fe1ef96bd12998bc
RESEARCH PRODUCT
From elliptic curves to Feynman integrals
Luise AdamsEkta ChaubeyStefan Weinzierlsubject
High Energy Physics - TheoryPure mathematicsDifferential equationFeynman integralTriangulation (social science)FOS: Physical sciencesLoop integralSet (abstract data type)High Energy Physics - PhenomenologyElliptic curvePair productionTransformation (function)High Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Mathematicsdescription
In this talk we discuss Feynman integrals which are related to elliptic curves. We show with the help of an explicit example that in the set of master integrals more than one elliptic curve may occur. The technique of maximal cuts is a useful tool to identify the elliptic curves. By a suitable transformation of the master integrals the system of differential equations for our example can be brought into a form linear in $\varepsilon$, where the $\varepsilon^0$-term is strictly lower-triangular. This system is easily solved in terms of iterated integrals.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-07-10 |