An analytic solution for the equal-mass banana graph

Autor: Johannes Broedel, Claude Duhr, Falko Dulat, Robin Marzucca, Brenda Penante, Lorenzo Tancredi
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2019, Iss 9, Pp 1-33 (2019)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP09(2019)112
Popis: Abstract We present fully analytic results for all master integrals for the three-loop banana graph with four equal and non-zero masses. The results are remarkably simple and all integrals are expressed as linear combinations of iterated integrals of modular forms of uniform weight for the same congruence subgroup as for the two-loop equal-mass sunrise graph. We also show how to write the results in terms of elliptic polylogarithms evaluated at rational points.
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