21 citations · 33 across the 13 of their papers we have counts for
15 papers
Intersection matrices associated to geometric-ordered bases of Feynman integrals
Iris Bree, Federico Gasparotto, Sebastian Pögel +3
In integration-by-parts reduction of Feynman integrals, the order relation in the Laporta algorithm determines a set of master integrals. In this paper we investigate the intersect…
From geometry to phenomenology
Stefan Weinzierl
Precision calculations in quantum field theory rely very often on perturbation theory and thus on the computation of Feynman integrals. Feynman integrals are also fascinating objec…
An algorithm towards -factorising Feynman Integrals
epsilon-collaboration, :, Iris Bree +10
In this talk, we use several examples to elaborate on how a recently proposed algorithm can turn non-trivial Feynman integrals into an -factorised manner, regardless…
Improving integration-by-parts and differential equations
Iris Bree, Federico Gasparotto, Antonela Matijašić +8
In this talk, we discuss how ideas from geometry help to improve Feynman integral reduction and the construction of -factorised differential equations. In particular,…
New algorithms for Feynman integral reduction and -factorised differential equations
Iris Bree, Federico Gasparotto, Antonela Matijašić +8
In this paper, we give a detailed account of the algorithm outlined in [1] for Feynman integral reduction and -factorised differential equations. The algorithm consist…
The unequal-mass three-loop banana integral
Sebastian Pögel, Toni Teschke, Xing Wang +1
We compute the three-loop banana integral with four unequal masses in dimensional regularisation. This integral is associated to a family of K3 surfaces, thus representing an examp…
The geometric bookkeeping guide to Feynman integral reduction and -factorised differential equations
Iris Bree, Federico Gasparotto, Antonela Matijašić +8
We report on three improvements in the context of Feynman integral reduction and -factorised differential equations: Firstly, we show that with a specific choice of pr…
Rationalisation of multiple square roots in Feynman integrals
Georgios Papathanasiou, Stefan Weinzierl, Konglong Wu +1
Feynman integrals are very often computed from their differential equations. It is not uncommon that the -factorised differential equation contains only dlog-forms wit…
Calabi-Yau Feynman integrals in gravity: -factorized form for apparent singularities
Hjalte Frellesvig, Roger Morales, Sebastian Pögel +2
We study a recently identified four-loop Feynman integral that contains a three-dimensional Calabi-Yau geometry and contributes to the scattering of black holes in classical gravit…
On the electron self-energy to three loops in QED
Claude Duhr, Federico Gasparotto, Christoph Nega +2
We compute the electron self-energy in Quantum Electrodynamics to three loops in terms of iterated integrals over kernels of elliptic type. We make use of the differential equation…
Self-dualities and Galois symmetries in Feynman integrals
Sebastian Pögel, Xing Wang, Stefan Weinzierl +2
It is well-known that all Feynman integrals within a given family can be expressed as a finite linear combination of master integrals. The master integrals naturally group into sec…
A Calabi-Yau-to-Curve Correspondence for Feynman Integrals
Hans Jockers, Sören Kotlewski, Pyry Kuusela +5
It has long been known that the maximal cut of the equal-mass four-loop banana integral is a period of a family of Calabi-Yau threefolds that depends on the kinematic variable $z=m…
Recent developments from Feynman integrals
Robin Marzucca, Andrew J. McLeod, Ben Page +3
This talk reviews recent developments in the field of analytical Feynman integral calculations. The central theme is the geometry associated to a given Feynman integral. In the sim…
Lattice Correlation Functions from Differential Equations
Federico Gasparotto, Andreas Rapakoulias, Stefan Weinzierl +1
We discuss how methods developed in the context of perturbation theory can be applied to the computation of lattice correlation functions, in particular in the non perturbative reg…
Feynman integrals, geometries and differential equations
Sebastian Pögel, Xing Wang, Stefan Weinzierl
In this talk we discuss the construction of a basis of master integrals for the family of the -loop equal-mass banana integrals, such that the differential equation is in an $\v…