Generalised power series expansions for the elliptic planar families of Higgs + jet production at two loops

Understand

We obtain generalised power series expansions for a family of planar two-loop master integrals relevant for the QCD corrections to Higgs + jet production, with physical heavy-quark mass dependence.

• This is achieved by defining differential equations along contours connecting two fixed points, and by solving them in terms of one-dimensional generalised power series.
• The procedure is efficient and can be repeated in order to reach any point of the kinematic regions.
• The analytic continuation of the series is straightforward and we present new results below and above the physical thresholds.