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 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.

中文翻译：

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椭圆形的大型风筝图

根据代数核的迭代积分，我们给出了带有椭圆的两环大规模风筝主积分的结果。关键要素是日落子图的新整体表示$d=4-2\epsilon$ 和 $d=2-2\epsilon$ 尺寸和微分方程，用于考虑风筝主积分 $\mathrm{一种}+乙\epsilon$形成。可以轻松地将获得的结果推广到ε-展开的所有阶数，并表明定义为带有代数核的迭代积分的函数类别可能足够大，可以写下大量大规模Feynman图的结果。