Speaker
Description
In this talk, we discuss the computation of the two-loop master integrals for
leading-color QCD scattering amplitudes including a closed light-quark loop in
$t\overline{t}H$ production at hadron colliders. Exploiting numerical
evaluations in modular arithmetic, we construct a basis of master integrals
satisfying a system of differential equations in $\epsilon$-factorized form.
We present the analytic form of the differential equations in terms of a
minimal set of differential one-forms. Interestingly, we uncover the presence
of a new analytic feature – a nested square root. We explore properties of the
function space of analytic solutions to the differential equations in terms of
iterative integrals and finally solve the differential equations using
generalized series expansions to numerically evaluate the master integrals in
physical phase space.
