The Dimensional Recurrence and Analyticity Method for Multicomponent Master Integrals: Using Unitarity Cuts to Construct Homogeneous Solutions
High Energy Physics - Phenomenology
2015-06-11 v1 High Energy Physics - Theory
Abstract
We consider the application of the DRA method to the case of several master integrals in a given sector. We establish a connection between the homogeneous part of dimensional recurrence and maximal unitarity cuts of the corresponding integrals: a maximally cut master integral appears to be a solution of the homogeneous part of the dimensional recurrence relation. This observation allows us to make a necessary step of the DRA method, the construction of the general solution of the homogeneous equation, which, in this case, is a coupled system of difference equations.
Cite
@article{arxiv.1209.0339,
title = {The Dimensional Recurrence and Analyticity Method for Multicomponent Master Integrals: Using Unitarity Cuts to Construct Homogeneous Solutions},
author = {Roman N. Lee and Vladimir A. Smirnov},
journal= {arXiv preprint arXiv:1209.0339},
year = {2015}
}
Comments
17 pages, 2 figures