We present the analytic calculation of the Master Integrals for the two-loop, non-planar topologies that enter the calculation of the amplitude for top-quark pair hadroproduction in the quark-annihilation channel. Using the method of differential equations, we expand the integrals in powers of the dimensional regulator $\epsilon$ and determine the expansion coefficients in terms of generalized harmonic polylogarithms of two dimensionless variables through to weight four.
Becchetti, M., Bonciani, R., Casconi, V., Ferroglia, A., Lavacca, S., & von Manteuffel, A. (2019). Master Integrals for the two-loop, non-planar QCD corrections to top-quark pair production in the quark-annihilation channel. Journal of High Energy Physics, 1908, 71. https://doi.org/10.1007/JHEP08(2019)071 (Original work published 2019)