2021 Impact factor 4.991
Particles and Fields

Eur. Phys. J. C 19, 535-546
DOI: 10.1007/s100520100631

Neutral MSSM Higgs-boson production at e+e- colliders in the Feynman-diagrammatic approach

S. Heinemeyer1, W. Hollik2, J. Rosiek3, 4 and G. Weiglein5

1  HET, Physics Department, Brookhaven Natl. Lab., Upton, NY 11973, USA
2  Institut für Theoretische Physik, Universität Karlsruhe, 76128 Karlsruhe, Germany
3  Physik-Department, Technische Universität München, 85747 Garching, Germany
4  Institute of Theoretical Physics, Warsaw University, 00681 Warsaw, Poland
5  CERN, TH Division, 1211 Geneva 23, Switzerland


(Received: 7 February 2001 / Published online: 23 March 2001 -© Springer-Verlag 2001)

We calculate the cross sections for the neutral Higgs-boson production at e+e- colliders in the Minimal Supersymmetric Standard Model (MSSM) using the Feynman-diagrammatic approach and the on-shell renormalization scheme. We incorporate the Higgs-boson propagator corrections, evaluated up to two-loop order, into the prediction of the cross sections for the Higgs-boson production mechanism $e^+e^- \to hZ,hA$. The propagator corrections consist of the full one-loop contribution, including the effects of non-vanishing external momentum, and at the two-loop level of the dominant corrections of ${\cal O}(\alpha\alpha_s)$ and further sub-dominant contributions. The results are supplemented with the complete set of one-loop vertex and box corrections. The effects of the two-loop propagator corrections are investigated in detail. We briefly discuss also the effect of the box contributions for high $\sqrt{s}$. We compare our results with the case where only the corrections to the effective mixing angle, evaluated within the renormalization-group-improved one-loop Effective Potential approach, are taken into account. We find agreement better than 10% for LEP2 energies and deviations larger than 20% for $\sqrt{s} = 500$ GeV.

© Società Italiana di Fisica, Springer-Verlag 2001