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<p>We compute two-loop corrections to the associated production of a Higgs boson with a <i>Z</i> boson and to off-shell <i>Z</i> boson pair production in the gluon fusion channel, mediated by a heavy quark. We perform deep expansions in the high-energy region and around the forward limit and show that their combination covers the whole phase space. Our results constitute the next-to-leading order virtual corrections to these processes. Their numerical evaluation is fast and the dependence on all parameters is maintained, thus a change of parameter values or renormalization scheme is straightforward. As a by-product of our calculation, we also obtain the two-loop heavy quark mediated virtual corrections to the processes of off-shell di-photon and photon-<i>Z</i> production.</p>

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Two-loop QCD corrections to ZH and off-shell Z boson pair production in gluon fusion

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月20日

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  • Joshua Davies,
  • Dominik Grau,
  • Kay Schönwald,
  • Matthias Steinhauser,
  • Daniel Stremmer,
  • Marco Vitti

摘要

We compute two-loop corrections to the associated production of a Higgs boson with a Z boson and to off-shell Z boson pair production in the gluon fusion channel, mediated by a heavy quark. We perform deep expansions in the high-energy region and around the forward limit and show that their combination covers the whole phase space. Our results constitute the next-to-leading order virtual corrections to these processes. Their numerical evaluation is fast and the dependence on all parameters is maintained, thus a change of parameter values or renormalization scheme is straightforward. As a by-product of our calculation, we also obtain the two-loop heavy quark mediated virtual corrections to the processes of off-shell di-photon and photon-Z production.