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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Veröffentlicht in:Nuclear physics. B 2021-02, Vol.963, p.115302, Article 115302
Hauptverfasser: Bezuglov, M.A., Onishchenko, A.I., Veretin, O.L.
Format: Artikel
Sprache:eng
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Zusammenfassung: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
1873-1562
DOI:10.1016/j.nuclphysb.2020.115302