A $QQ\to QQ$ planar doublebox in canonical form

TL;DR

This paper derives and solves a canonical form of differential equations for a specific planar doublebox Feynman integral with massive external and internal lines, expressed through iterated integrals.

Contribution

It presents the first derivation of a canonical differential equation form for a massive planar doublebox integral with explicit solutions in terms of iterated integrals.

Findings

Canonical form of differential equations obtained for the doublebox integral.

Explicit solutions expressed via iterated integrals up to depth four.

Framework facilitates future computations of similar Feynman integrals.

Abstract

We consider a planar doublebox with four massive external momenta and two massive internal propagators. We derive the system of differential equations for the relevant master integrals, cast it in canonical form, write it as a $d\log$ form and solve it in terms of iterated integrals up to depth four.