Massive kite diagrams with elliptics

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 $d=4-2ϵ$ 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.

Comments: 21 page, 4 figures