Speaker
Description
We compute the two-loop master integrals in $ d = 4 - 2\epsilon $ spacetime dimensions using the differential equation method, specifically for QCD-EW corrections to the $ WWV $ ($ V = H, Z, \gamma $) vertex. This analysis includes integral families that incorporate massive $ t/b $ quarks within the quark loops, with the master integrals constructing to a canonical differential system. However, the system presents four square roots that cannot be simultaneously rationalized. To address this, we employ parameter transformations aimed at rationalizing these roots as effectively as possible during integration. Ultimately, the solutions are presented as Taylor series expansions around $ d = 4 $, with coefficients expressed as Goncharov polylogarithms up to weight $4$. Notably, six integrals at weight $4$ are described using one-fold iterated integrals.
