Magnus and Dyson series for master integrals
From MaRDI portal
Publication:270538
DOI10.1007/JHEP03(2014)082zbMATH Open1333.81379arXiv1401.2979WikidataQ58100225 ScholiaQ58100225MaRDI QIDQ270538
Author name not available (Why is that?)
Publication date: 7 April 2016
Published in: (Search for Journal in Brave)
Abstract: We elaborate on the method of differential equations for evaluating Feynman integrals. We focus on systems of equations for master integrals having a linear dependence on the dimensional parameter. For these systems we identify the criteria to bring them in a canonical form, recently identified by Henn, where the dependence of the dimensional parameter is disentangled from the kinematics. The determination of the transformation and the computation of the solution are obtained by using Magnus and Dyson series expansion. We apply the method to planar and non-planar two-loop QED vertex diagrams for massive fermions, and to non-planar two-loop integrals contributing to 2 -> 2 scattering of massless particles. The extension to systems which are polynomial in the dimensional parameter is discussed as well.
Full work available at URL: https://arxiv.org/abs/1401.2979
No records found.
No records found.
This page was built for publication: Magnus and Dyson series for master integrals
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q270538)
