Four loop massless propagators: an algebraic evaluation of all master integrals
From MaRDI portal
Publication:627814
DOI10.1016/J.NUCLPHYSB.2010.05.004zbMATH Open1206.81087arXiv1004.1153OpenAlexW2082614141MaRDI QIDQ627814
Author name not available (Why is that?)
Publication date: 4 March 2011
Published in: (Search for Journal in Brave)
Abstract: The old "glue--and--cut" symmetry of massless propagators, first established in [1], leads --- after reduction to master integrals is performed --- to a host of non-trivial relations between the latter. The relations constrain the master integrals so tightly that they all can be analytically expressed in terms of only few, essentially trivial, watermelon-like integrals. As a consequence we arrive at explicit analytical results for all master integrals appearing in the process of reduction of massless propagators at three and four loops. The transcendental structure of the results suggests a clean explanation of the well-known mystery of the absence of even zetas (zeta_{2n}) in the Adler function and other similar functions essentially reducible to the massless propagators. Once a reduction of massless propagators at five loops is available, our approach should be also applicable for explicit performing the corresponding five-loop master integrals.
Full work available at URL: https://arxiv.org/abs/1004.1153
No records found.
No records found.
This page was built for publication: Four loop massless propagators: an algebraic evaluation of all master integrals
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q627814)
