On the maximal cut of Feynman integrals and the solution of their differential equations
@article{Primo2017OnTM, title={On the maximal cut of Feynman integrals and the solution of their differential equations}, author={A. Primo and L. Tancredi}, journal={Nuclear Physics}, year={2017}, volume={916}, pages={94-116} }
Abstract The standard procedure for computing scalar multi-loop Feynman integrals consists in reducing them to a basis of so-called master integrals, derive differential equations in the external invariants satisfied by the latter and, finally, try to solve them as a Laurent series in ϵ = ( 4 − d ) / 2 , where d are the space–time dimensions. The differential equations are, in general, coupled and can be solved using Euler's variation of constants, provided that a set of homogeneous solutions… CONTINUE READING
91 Citations
Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph
- Physics
- 2017
- 65
- PDF
Solving differential equations for Feynman integrals by expansions near singular points
- Physics
- 2017
- 45
- PDF
Simple differential equations for Feynman integrals associated to elliptic curves
- Physics, Mathematics
- 2019
- 1
- PDF
Algebraic Structure of Cut Feynman Integrals and the Diagrammatic Coaction.
- Mathematics, Medicine
- Physical review letters
- 2017
- 38
- PDF
DiffExp, a Mathematica package for computing Feynman integrals in terms of one-dimensional series expansions
- Physics
- 2020
- 11
- PDF
Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams
- Physics, Computer Science
- ArXiv
- 2017
- 77
- PDF
References
SHOWING 1-10 OF 44 REFERENCES
Transforming differential equations of multi-loop Feynman integrals into canonical form
- Physics
- 2016
- 62
- PDF
Multiloop integrals in dimensional regularization made simple.
- Mathematics, Medicine
- Physical review letters
- 2013
- 440
- PDF
The dimensional recurrence and analyticity method for multicomponent master integrals: using unitarity cuts to construct homogeneous solutions
- Physics
- 2012
- 29
- PDF