Massive kite diagrams with elliptics

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=4−2ε and d=2−2ε dimensions together with differential equations for considered kite m...

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Bibliographic Details
Main Authors: M.A. Bezuglov, A.I. Onishchenko, O.L. Veretin
Format: Article
Language:English
Published: Elsevier 2021-02-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321320303874
Description
Summary: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=4−2ε and d=2−2ε dimensions together with differential equations for considered kite master integrals in A+Bε form. The obtained results can be easily generalized to all orders in ε-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.
ISSN:0550-3213