Next-to-leading order corrections for gg → ZH with top quark mass dependence

In this work, we present for the first time a calculation of the complete next-to-leading order corrections to the gg -> ZH process. We use the method of small mass expansion to tackle the most challenging two-loop virtual amplitude, in which the top quark mass dependence is retained throughout the calculations. We show that our method provides reliable numeric results in all kinematic regions, and present phenomenological predictions for the total and differential cross sections at the Large Hadron Collider and its future upgrades. Our results are necessary ingredients towards reducing the theoretical uncertainties of the pp -> ZH cross sections down to the percent-level, and provide important theoretical inputs for future precision experimental collider programs. (C) 2022 The Author(s). Published by Elsevier B.V.

Automated summary

For the first time, a calculation of the complete next-to-leading order corrections to the gg -> ZH process is presented. The method of small mass expansion is used to tackle the challenging two-loop virtual amplitude, taking into account the top quark mass dependence. Reliable numeric results are obtained in all kinematic regions, and phenomenological predictions are provided for the total and differential cross sections at the Large Hadron Collider and its future upgrades. These results are crucial for reducing the theoretical uncertainties and providing theoretical inputs for future precision experimental collider programs.