In this talk we discuss the construction of a basis of master integrals for the family of the
$l$-loop equal-mass banana integrals, such that the differential equation is in an $\varepsilon$-factorised form.
As the $l$-loop banana integral is related to a Calabi-Yau $(l-1)$-fold,
this extends the examples where an $\varepsilon$-factorised form
has been found from Feynman integrals related to curves (of genus zero and one)
to Feynman integrals related to higher-dimensional varieties.
Volume 432 -
16th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology (RADCOR2023) -
Main session
Feynman integrals, geometries and differential equations
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Pre-published on:
September 19, 2023
Published on:
January 22, 2024
Abstract
DOI: https://doi.org/10.22323/1.432.0007
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Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.