180 citations · 955 across the 15 of their papers we have counts for
17 papers
From elliptic curves to Feynman integrals
Luise Adams, Ekta Chaubey, Stefan Weinzierl
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 ellip…
On a class of Feynman integrals evaluating to iterated integrals of modular forms
Luise Adams, Stefan Weinzierl
In this talk we discuss a class of Feynman integrals, which can be expressed to all orders in the dimensional regularisation parameter as iterated integrals of modular forms. We re…
Analytic results for the planar double box integral relevant to top-pair production with a closed top loop
Luise Adams, Ekta Chaubey, Stefan Weinzierl
In this article we give the details on the analytic calculation of the master integrals for the planar double box integral relevant to top-pair production with a closed top loop. W…
The -form of the differential equations for Feynman integrals in the elliptic case
Luise Adams, Stefan Weinzierl
Feynman integrals are easily solved if their system of differential equations is in -form. In this letter we show by the explicit example of the kite integral family t…
The planar double box integral for top pair production with a closed top loop to all orders in the dimensional regularisation parameter
Luise Adams, Ekta Chaubey, Stefan Weinzierl
We compute systematically for the planar double box Feynman integral relevant to top pair production with a closed top loop the Laurent expansion in the dimensional regularisation…
Differential equations for Feynman integrals beyond multiple polylogarithms
Luise Adams, Christian Bogner, Ekta Chaubey +2
Differential equations are a powerful tool to tackle Feynman integrals. In this talk we discuss recent progress, where the method of differential equations has been applied to Feyn…
Feynman integrals and iterated integrals of modular forms
Luise Adams, Stefan Weinzierl
In this paper we show that certain Feynman integrals can be expressed as linear combinations of iterated integrals of modular forms to all orders in the dimensional regularisation…
Simplifying differential equations for multi-scale Feynman integrals beyond multiple polylogarithms
Luise Adams, Ekta Chaubey, Stefan Weinzierl
In this paper we exploit factorisation properties of Picard-Fuchs operators to decouple differential equations for multi-scale Feynman integrals. The algorithm reduces the differen…
The kite integral to all orders in terms of elliptic polylogarithms
Luise Adams, Christian Bogner, Armin Schweitzer +1
We show that the Laurent series of the two-loop kite integral in space-time dimensions can be expressed in each order of the series expansion in terms of ellipti…
The sunrise integral and elliptic polylogarithms
Luise Adams, Christian Bogner, Stefan Weinzierl
We summarize recent computations with a class of elliptic generalizations of polylogarithms, arising from the massive sunrise integral. For the case of arbitrary masses we obtain r…
A walk on sunset boulevard
Luise Adams, Christian Bogner, Stefan Weinzierl
A walk on sunset boulevard can teach us about transcendental functions associated to Feynman diagrams. On this guided tour we will see multiple polylogarithms, differential equatio…
The iterated structure of the all-order result for the two-loop sunrise integral
Luise Adams, Christian Bogner, Stefan Weinzierl
We present a method to compute the Laurent expansion of the two-loop sunrise integral with equal non-zero masses to arbitrary order in the dimensional regularisation .…
The Elliptic Sunrise
Luise Adams, Christian Bogner, Stefan Weinzierl
In this talk, we discuss our recent computation of the two-loop sunrise integral with arbitrary non-zero particle masses. In two space-time dimensions, we arrive at a result in ter…
The sunrise integral around two and four space-time dimensions in terms of elliptic polylogarithms
Luise Adams, Christian Bogner, Stefan Weinzierl
In this talk we discuss the solution for the sunrise integral around two and four space-time dimensions in terms of a generalised elliptic version of the multiple polylogarithms. I…
The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case
Luise Adams, Christian Bogner, Stefan Weinzierl
We present the result for the finite part of the two-loop sunrise integral with unequal masses in four space-time dimensions in terms of the -part and…
The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms
Luise Adams, Christian Bogner, Stefan Weinzierl
We present the two-loop sunrise integral with arbitrary non-zero masses in two space-time dimensions in terms of elliptic dilogarithms. We find that the structure of the result is…
The two-loop sunrise graph with arbitrary masses
Luise Adams, Christian Bogner, Stefan Weinzierl
We discuss the analytical solution of the two-loop sunrise graph with arbitrary non-zero masses in two space-time dimensions. The analytical result is obtained by solving a second-…