Iterated Integrals Related to Feynman Integrals Associated to Elliptic Curves

نویسندگان

چکیده

This talk reviews Feynman integrals, which are associated to elliptic curves. The will give an introduction into the mathematics behind them, covering topics of curves, modular forms and moduli space $n$ marked points on a genus one curve. latter be important, as integrals can expressed iterated ${\mathcal M}_{1,n}$, in same way evaluate multiple polylogarithms M}_{0,n}$. With right language, many methods from zero case carry over case. In particular we see specific examples that differential equation for cast $\varepsilon$-form. allows systematically obtain solution order by dimensional regularisation parameter.

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ژورنال

عنوان ژورنال: Texts and monographs in symbolic computation

سال: 2021

ISSN: ['0943-853X', '2197-8409']

DOI: https://doi.org/10.1007/978-3-030-80219-6_20