The Elliptic Sunrise

DOI10.1007/978-3-030-37031-2_6zbMath1444.81017arXiv1510.03883OpenAlexW3013840013MaRDI QIDQ3304296

Luise Adams, Christian Bogner, Stefan Weinzierl

Publication date: 5 August 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.03883

zbMATH Keywords

special functionsFeynman integralselliptic polylogarithms

Mathematics Subject Classification ID

Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Polylogarithms and relations with (K)-theory (11G55) Elliptic functions and integrals (33E05)

Uses Software

• BOKASUN

Cites Work

• Unnamed Item
• Unnamed Item
• Star integrals, convolutions and simplices
• The elliptic dilogarithm for the sunset graph
• BOKASUN: A fast and precise numerical program to calculate the master integrals of the two-loop sunrise diagrams
• Realizations of polylogarithms
• Precise numerical evaluation of the two loop sunrise graph master integrals in the equal mass case
• Analytic treatment of the two loop equal mass sunrise graph
• Multiple polylogarithms, cyclotomy and modular complexes
• Numerical evaluation of the general massive 2-loop sunrise self-mass master integrals from differential equations
• On the evaluation of a certain class of Feynman diagrams in \(x\)-space: sunrise-type topologies at any loop order
• A second-order differential equation for the two-loop sunrise graph with arbitrary masses
• Schouten identities for Feynman graph amplitudes: The Master Integrals for the two-loop massive sunrise graph
• Evaluating Feynman integrals.
• Elliptic multiple zeta values and one-loop superstring amplitudes
• The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms
• Elliptic integral evaluations of Bessel moments and applications
• Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$
• Higher Regulators, Algebraic 𝐾-Theory, and Zeta Functions of Elliptic Curves
• A geometrical angle on Feynman integrals
• The two-loop sunrise graph with arbitrary masses
• The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case
• The massless higher-loop two-point function