11 citations · 22 across the 11 of their papers we have counts for
12 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…
Analytic result of a three-loop integral family in the Higgs decay to four massive bottom quarks
Jian Wang, Xing Wang, Yefan Wang
When calculating the decay width of induced by the effective Higgs-gluon-gluon interaction using the optical theorem, the three-loop Feynman diagrams are en…
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…
Higgs boson decay to massive bottom quarks at order induced by top-quark Yukawa couplings
Jian Wang, Xing Wang, Yefan Wang
The Higgs boson decay to massive bottom quarks has the largest branching ratio. The decay is mainly induced by the bottom-quark Yukawa coupling with the decay rate calculated up to…
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…
Analytic decay width of the Higgs boson to massive bottom quarks at order
Jian Wang, Xing Wang, Yefan Wang
The Higgs boson decay into bottom quarks is the dominant decay channel contributing to its total decay width, which can be used to measure the bottom quark Yukawa coupling and mass…
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…