Hauptseite > Diagrammatic Coaction of Two-Loop Feynman Integrals |
Article | |
Report number | arXiv:1912.06561 ; CERN-TH-2019-218 ; CP3-19-59 |
Title | Diagrammatic Coaction of Two-Loop Feynman Integrals |
Author(s) | Abreu, Samuel (Louvain U., CP3) ; Britto, Ruth (Hamilton Math. Inst., Dublin ; Trinity Coll., Dublin ; IPhT, Saclay) ; Duhr, Claude (CERN) ; Gardi, Einan (U. Edinburgh, Higgs Ctr. Theor. Phys. ; Edinburgh U., Inst. Astron.) ; Matthew, James (U. Edinburgh, Higgs Ctr. Theor. Phys.) |
Publication | 2019 |
Imprint | 2019-12-13 |
Number of pages | 10 |
Note | 10 pages, talk given at RADCOR 2019 |
In: | PoS RADCOR2019 (2019) 065 |
In: | 14th International Symposium on Radiative Corrections : Application of Quantum Field Theory to Phenomenology, Avignon, France, 8 - 13 Sep 2019, pp.065 |
DOI | 10.22323/1.375.0065 |
Subject category | hep-th ; Particle Physics - Theory |
Abstract | It is known that one-loop Feynman integrals possess an algebraic structure encoding some of their analytic properties called the coaction, which can be written in terms of Feynman integrals and their cuts. This diagrammatic coaction, and the coaction on other classes of integrals such as hypergeometric functions, may be expressed using suitable bases of differential forms and integration contours. This provides a useful framework for computing coactions of Feynman integrals expressed using the hypergeometric functions. We will discuss examples where this technique has been used in the calculation of two-loop diagrammatic coactions. |
Copyright/License | preprint: (License: arXiv nonexclusive-distrib 1.0) publication: © 2020-2024 The Authors (License: CC-BY-NC-ND-4.0) |