English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

In this talk we discuss the solution for the sunrise integral around two andfour space-time dimensions in terms of a generalised elliptic version of themultiple polylogarithms. In two space-time dimensions we obtain a sum of threeelliptic dilogarithms. The arguments of the elliptic dilogarithms have a nicegeometric interpretation. In four space-time dimensions the sunrise integralcan be expressed with the $\epsilon^0$- and $\epsilon^1$-solution around twodimensions, mass derivatives thereof and simpler terms.

The sunrise integral around two and four space-time dimensions in terms of elliptic polylogarithms