Two-Loop $\mathcal{O}({\alpha }_s{G}_F{m}_t^2)$ Corrections to Higgs Production at LEP

Abstract

We evaluate the two-loop $\mathcal{O}({\alpha }_s{G}_F{m}_t^2)$ correction to the $ZZH$ coupling in the Standard Model by means of a low-energy theorem, assuming that the top quark is much heavier than the Higgs boson. We then construct a heavy-top-quark effective Lagrangian for the $ZZH$ interaction that accommodates the $\mathcal{O}(G_F{m}_t^2)$ and $\mathcal{O}({\alpha }_s{G}_F{m}_t^2)$ corrections and derive from it the corresponding corrections to the $H\to ZZ$ decay as well as those to Higgs-boson production at LEP1, via $Z\to f\bar{f}H$, and at LEP2, via $e^{+}{e}^{-}\to ZH$. In all cases, the leading $\mathcal{O}(G_F{m}_t^2)$ terms are considerably screened by their QCD corrections, if the on-shell renormalization scheme with $G_F$ as a basic parameter is employed.

11 pages, latex, no figures

References in corpus (9)

• Evidence for Top Quark Production in $\bar{p}p$ Collisions at $\sqrt{s}=1.8$ TeV
• Electroweak gauge bosons self--energies: complete QCD corrections
• Leading electroweak correction to Higgs boson production at proton colliders
• Corrections of Order $\mathcal{O}(G_F{\alpha }_s{m}_t^2)$ to the Higgs Decay Rate $\Gamma (H\to b\bar{b})$
• Two-Loop $O({\alpha }_s{G}_F{m}_t^2)$ Correction to the $H\to b\bar{b}$ Decay Rate
• Production and decay of the Standard Model Higgs Bososn at LEP200
• Two-Loop $\mathcal{O}({\alpha }_s{G}_F{m}_t^2)$ Corrections to the Fermionic Decay Rates of the Standard-Model Higgs Boson
• Two-Loop $\mathcal{O}({\alpha }_s^2)$ Correction to the $H\to b\bar{b}$ Decay Rate Induced by the Top Quark
• On the asymptotic $\mathcal{O}(\alpha {\alpha }_S)$ behavior of the electroweak gauge bosons vacuum polarization functions for arbitrary quark masses

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• Heavy-Higgs Lifetime at Two Loops
• Three-Loop O(alpha_s^2 G_F M_t^2) Corrections to Higgs Production and Decay at e^+e^- Colliders
• Virtual Top Effects on Low-Mass Higgs Interactions at Next-to-Leading Order in QCD
• Theoretical Aspects of Standard-Model Higgs-Boson Physics at a Future e^+ e^- Linear Collider
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• Two-Loop O(alpha_s G_F M_Q^2) Heavy-Quark Corrections to the Interactions between Higgs and Intermediate Bosons
• Indirect determinations of the top quark mass
• Physics impact of ILC Higgs coupling measurements: the effect of theory uncertainties
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