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arXiv · 2011.13337

Massive kite diagrams with elliptics

M. A. Bezuglov·A. I. Onishchenko·O. L. Veretin
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Abstract

We present the results for two-loop massive kite master integrals with elliptics in terms of iterated integrals with algebraic kernels. The key ingredients are new integral representations for sunset subgraphs in $d=4-2\epsilon$ and $d=2-2\epsilon$ dimensions together with differential equations for considered kite master integrals in $A+B\epsilon$ form. The obtained results can be easily generalized to all orders in $\epsilon$-expansion and show that the class of functions defined as iterated integrals with algebraic kernels may be large enough for writing down results for a large class of massive Feynman diagrams.

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M. A. Bezuglov, A. I. Onishchenko, O. L. Veretin. 2020-11-26. Massive kite diagrams with elliptics. https://doi.org/10.1016/j.nuclphysb.2020.115302

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