Top quark contribution to two-loop helicity amplitudes for $Z$ boson pair production in gluon fusion

Abstract

We compute the top quark contribution to the two-loop amplitude for on-shell $Z$ boson pair production in gluon fusion, $gg\to ZZ$. Exact dependence on the top quark mass is retained. For each phase space point the integral reduction is performed numerically and the master integrals are evaluated using the auxiliary mass flow method, allowing fast computation of the amplitude with very high precision.

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• Probing Higgs portals with matrix-element based kinematic discriminants in $ZZ\to 4\ell$ production
• Three-loop matching coefficients for heavy flavor-changing currents and the phenomenological applications
• Three-loop QCD matching of the flavor-changing scalar current involving the heavy charm and bottom quark
• On non-factorisable contributions to $t$-channel single-top production