6 citations · 7 across the 8 of their papers we have counts for
9 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…
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,…
Cluster algebras for cosmological correlators
Pouria Mazloumi, Xiaofeng Xu
In this paper, we explore the cluster algebras for symbol letters or singularities of cosmological correlators in a conformally coupled scalar field theory. We show that the symbol…
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 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…
Differential equations for tree--level cosmological correlators with massive states
Federico Gasparotto, Pouria Mazloumi, Xiaofeng Xu
We study mathematical aspects concerning two site tree-level cosmological correlators with massive internal and external states in a de Sitter universe. We employ integration by pa…
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…
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…