Differential equations and high-energy expansion of two-loop diagrams in \(d\) dimensions

DOI10.1016/J.NUCLPHYSB.2005.10.024zbMATH Open1192.81240arXivhep-ph/0509181OpenAlexW1973115551MaRDI QIDQ877299

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Publication date: 20 April 2007

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Abstract: New method of calculation of master integrals using differential equations and asymptotical expansion is presented. This method leads to the results exact in space-time dimension $D$ having the form of the convergent power series. As an application of this method, we calculate the two--loop master integral for "crossed--triangle" topology which was previously known only up to $O(ep)$ order. The case when a topology contains several master integrals is also considered. We present an algorithm of the term-by-term calculation of the asymptotical expansion in this case and analyze in detail the "crossed--box" topology with three master integrals.

Full work available at URL: https://arxiv.org/abs/hep-ph/0509181

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