Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-02-03
Int.J.Mod.Phys.A15:5087-5159,2000
Physics
High Energy Physics
High Energy Physics - Phenomenology
55 pages, 5 figures, LaTex
Scientific paper
10.1016/S0217-751X(00)00215-7
We describe a new method of calculation of generic multi-loop master integrals based on the numerical solution of systems of difference equations in one variable. We show algorithms for the construction of the systems using integration-by-parts identities and methods of solutions by means of expansions in factorial series and Laplace's transformation. We also describe new algorithms for the identification of master integrals and the reduction of generic Feynman integrals to master integrals, and procedures for generating and solving systems of differential equations in masses and momenta for master integrals. We apply our method to the calculation of the master integrals of massive vacuum and self-energy diagrams up to three loops and of massive vertex and box diagrams up to two loops. Implementation in a computer program of our approach is described. Important features of the implementation are: the ability to deal with hundreds of master integrals and the ability to obtain very high precision results expanded at will in the number of dimensions.
No associations
LandOfFree
High-precision calculation of multi-loop Feynman integrals by difference equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with High-precision calculation of multi-loop Feynman integrals by difference equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and High-precision calculation of multi-loop Feynman integrals by difference equations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-75559