Speaker
Dhimiter Canko
(University of Bologna and INFN)
Description
I will present the computation of the two-loop scattering amplitude for the associated hadron production of a top pair and a $W$ boson, in the leading color approximation. This result contributes to the virtual part of the NNLO QCD corrections to this process. The amplitude is expressed in terms of a basis of special functions multiplied by kinematic-dependent rational coefficients. The special functions are calculated by means of differential equations, while the rational coefficients are evaluated using finite-field techniques. The computation is highly non-trivial, as it involves complicated analytic structures such as nested square roots and elliptic functions, as well as rational coefficients with polynomials of very high degree.
Author
Dhimiter Canko
(University of Bologna and INFN)