arXiv:hep-ph/9501392·v1·High Energy Physics — Phenomenology

Two-Loop $O (α_{s} G_{F} m_{t}^{2})$ Corrections to Higgs Production at LEP

Bernd A. Kniehl · Michael Spira

Abstract

We evaluate the two-loop $O (α_{s} G_{F} m_{t}^{2})$ correction to the $Z Z H$ 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 $Z Z H$ interaction that accommodates the $O (G_{F} m_{t}^{2})$ and $O (α_{s} G_{F} m_{t}^{2})$ corrections and derive from it the corresponding corrections to the $H \to Z Z$ decay as well as those to Higgs-boson production at LEP1, via $Z \to f f ˉ H$ , and at LEP2, via $e^{+} e^{-} \to Z H$ . In all cases, the leading $O (G_{F} m_{t}^{2})$ terms are considerably screened by their QCD corrections, if the on-shell renormalization scheme with $G_{F}$ as a basic parameter is employed.

Comments: 11 pages, latex, no figures

Two-Loop O(αs​GF​mt2​) Corrections to Higgs Production at LEP

Abstract

Two-Loop $O (α_{s} G_{F} m_{t}^{2})$ Corrections to Higgs Production at LEP