Cuts of Feynman Integrals in Baikov representation
By Hjalte Frellesvig, Costas G. Papadopoulos. Journal of High Energy Physics, 2017
137 citations recorded by the source corpus.
Based on the Baikov representation, we present a systematic approach to compute cuts of Feynman Integrals, appropriately defined in d dimensions. The information provided by these computations may be used to determine the class of functions needed to analytically express the full integrals.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/89546022f720bb6aa7090ab07bdbc20578a65e3f
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In Applied Mathematics
- Pierpaolo Mastrolia
- Sebastian Mizera
- Federico Gasparotto
- M. K. Mandal
- Luca Mattiazzi
- Hjalte Frellesvig
- S. Laporta
- Gudrun Heinrich
In Geometry and Topology
- Pierpaolo Mastrolia
- Sebastian Mizera
- Federico Gasparotto
- M. K. Mandal
- Luca Mattiazzi
- Hjalte Frellesvig
- S. Laporta
- Gudrun Heinrich
In Mathematical Physics
Citations in the corpus
- Feynman integrals and intersection theory (2018, background): “6), as was first observed in [49], and later also [39–41] in the Baikov representation.”
- Decomposition of Feynman integrals on the maximal cut by intersection numbers (2019, methodology): “The number of MIs for a given integral family, the order of the differential equations they obey, and the classification of the homogeneous solutions according to the independent components of the integration domain, revealed a natural correspondence between the MIs and the geometric properties of t”
- Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph (2017, unknown): “05 46”