Integration-by-parts identities in FDR

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Publication:2814259

DOI10.1002/PROP.201500040zbMATH Open1338.81294arXiv1408.5345OpenAlexW3125077092MaRDI QIDQ2814259

Author name not available (Why is that?)

Publication date: 20 June 2016

Published in: (Search for Journal in Brave)

Abstract: Four-dimensional renormalized (FDR) integrals play an increasingly important role in perturbative loop calculations. Thanks to them, loop computations can be performed directly in four dimensions and with no ultraviolet (UV) counterterms. In this paper I prove that integration-by-parts (IBP) identities can be used to find relations among multi-loop FDR integrals. Since algorithms based on IBP are widely applied beyond one loop, this result represents a decisive step forward towards the use of FDR in multi-loop calculations.


Full work available at URL: https://arxiv.org/abs/1408.5345



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