Evaluating two-loop non-planar master integrals for Higgs + jet production

Friday, 18 October 2019 at 11:15 in HIT E 41.1-ETH Hönggerberg

I will discuss the evaluation of non-planar master integrals for Higgs + jet production with full heavy quark mass dependence, focusing on the family of integrals computed in arXiv:1907.13156. The integrals may be evaluated using the method of differential equations, which I will briefly review. There are two elliptic sectors, identified by computing their maximal cuts, while the remaining subsectors are polylogarithmic. In particular, the subsectors may be combined into a canonical basis in which the differential equations are factorized in epsilon, and in dlog-form. I will discuss the analytic integration of the canonical basis integrals at weight 2, which is complicated by the presence of 10 non-simultaneously rationalizable square roots. Furthermore, I will describe how the system of differential equations of all master integrals, including the elliptic sectors, may be solved along line segments in terms of generalized power series. By patching series solutions computed along multiple lines, this method can be used to obtain high-precision numerical results at points in the physical region, with efficient timing.