English

Massive kite diagrams with elliptics

High Energy Physics - Phenomenology 2021-02-24 v1 High Energy Physics - Theory

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=42ϵd=4-2\epsilon and d=22ϵd=2-2\epsilon dimensions together with differential equations for considered kite master integrals in A+BϵA+B\epsilon form. The obtained results can be easily generalized to all orders in ϵ\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.

Keywords

Cite

@article{arxiv.2011.13337,
  title  = {Massive kite diagrams with elliptics},
  author = {M. A. Bezuglov and A. I. Onishchenko and O. L. Veretin},
  journal= {arXiv preprint arXiv:2011.13337},
  year   = {2021}
}

Comments

21 page, 4 figures

R2 v1 2026-06-23T20:31:52.503Z