Generalised ladders and single-valued polylogarithms

Understand

We introduce and solve an infinite class of loop integrals which generalises the well-known ladder series.

• The integrals are described in terms of single-valued polylogarithmic functions which satisfy certain differential equations.
• The combination of the differential equations and single-valued behaviour allow us to explicitly construct the polylogarithms recursively.
• For this class of integrals the symbol may be read off from the integrand in a particularly simple way.