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Massive kite diagrams with elliptics

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arxiv 2011.13337 v1 pith:PGTYUIZT submitted 2020-11-26 hep-ph hep-th

classification hep-phhep-th
keywords epsilonintegralskitemassiveresultsalgebraicclassdiagrams
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $d=4-2\epsilon$ 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 $\epsilon$-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.

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Cited by 1 Pith paper

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  1. Electroweak double-box integrals for Moller scattering

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Presents epsilon-factorised master integrals, boundary values, and numerical routines for the planar and non-planar electroweak double-box families relevant to NNLO Moller scattering.

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