Radiative corrections for associated $Z H$ production at future $e^{+} e^{-}$ colliders

four-point function is calculated in the one-loop approximation of the Standard Model and full analytic results are presented. The loop contributions due to both light and new heavy fermions are inspected in detail. The dominant mechanisms of Higgs-boson production from fermions are compared. The effect of radiative corrections on the cross section of

f\bar f \to ZH

including bremsstrahlung is studied. The spectrum of hard bremsstrahlung is integrated analytically. The implications for Higgs-boson searches at futuree+e− colliders in the energy range 200

200GeV \le \sqrt s\le 1.5TeV

, which includes both LEP 2 and the Next Linear Collider, are analyzed. ForMH<2mt weak corrections in the modified on-mass-shell scheme are generally negative and feebly vary withMH, while forMH>2mt, they strongly increase withMH and may take large positive values. Electromagnetic corrections dramatically reduce the cross section close to theZH-production threshold, while they may considerably enhance it far above this threshold.

Note:

Revised version

electron positron: annihilation
annihilation: electron positron
Higgs particle: electroproduction
electroproduction: Higgs particle
Z0: associated production
associated production: Z0
vertex function: (Higgs particle Z0 fermion
electroweak interaction: radiative correction
radiative correction: electroweak interaction
bremsstrahlung

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Radiative corrections for associated $Z H$ production at future $e^{+} e^{-}$ colliders