论文标题
椭圆形的大型风筝图
Massive kite diagrams with elliptics
论文作者
论文摘要
我们介绍了与代数核的迭代积分有关的两环大型风筝主积分，并带有椭圆形。关键成分是$ d =4-2ε$和$ d =2-2ε$尺寸的日落子图的新的积分表示，以及用于$ a+bε$表单中的风筝主积分的微分方程。获得的结果很容易被概括为$ε$ - expansion中的所有订单，并表明定义为具有代数核的迭代积分的函数类可能足够大，可以为大型大型Feynman图表写下结果。
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.
