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Master integrals contributing to two-loop leading colour QCD helicity amplitudes for top-quark pair production in the gluon fusion channel

Ekta Chaubey

SciPost Phys. Proc. 7, 001 (2022) · published 20 June 2022

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15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology


We discuss the analytic structure of the master integrals relevant for computing the com- plete set of leading-colour analytic helicity amplitudes for top-quark pair production via gluon fusion at two loops in QCD. This includes corrections due to massive fermion loops which give rise to integrals involving elliptic curves. We also elaborate on the structure of singularities that play an important role in the numerical evaluation of the iterated integrals and their analytic continuation.

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