Speaker
Ming-Ming Long
(INFN-LNF)
Description
In this talk, I will present an analytic calculation of the two-loop amplitudes for $e^+e^- \to t\bar{t}j$ at leading-colour approximation. The amplitudes are decomposed into linear combinations of independent tensor structures and scalar form factors. The relevant Feynman integrals are computed analytically via the method of differential equation. After transforming the differential equations to the $\epsilon$-factorised form, the solution is expressed in terms of iterated integrals with algebraic kernels and ones that contain elliptic integrals. A library is developed to support numerical evaluations of those iterated integrals at arbitrary precisions.
Author
Ming-Ming Long
(INFN-LNF)