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High-precision predictions for the MSSM Higgs sector at \({{\mathcal{O}}}(\alpha_b\alpha_s)\)

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Abstract.

We evaluate \(\mathcal{O}{\alpha_b \alpha_s}\) corrections in the Higgs boson sector of the \(\mathcal{C}P\)-conserving MSSM, generalising the known result in the literature to arbitrary values of \(\tan\beta\). A detailed analysis of the renormalisation in the bottom/scalar bottom sector is performed. Concerning the lightest MSSM Higgs boson mass, we find relatively small corrections for positive μ, while for \(\mu < 0\) the genuine two-loop \(\mathcal{O}{\alpha_b \alpha_s}\) corrections can amount up to 3 GeV. Different renormalisation schemes are applied and numerically compared. It is demonstrated that some care has to be taken in choosing an appropriate renormalisation prescription in order to avoid artificially large corrections. The residual dependence on the renormalisation scale is investigated, and the remaining theoretical uncertainties from unknown higher-order corrections in this sector are discussed for different regions of the MSSM parameter space.

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Authors and Affiliations

  1. CERN TH Division, Department of Physics, 1211, Geneva 23, Switzerland

    S. Heinemeyer

  2. Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Föhringer Ring 6, 80805, Munich, Germany

    W. Hollik & H. Rzehak

  3. Institute for Particle Physics Phenomenology, University of Durham, DH1 3LE, Durham, UK

    G. Weiglein

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  1. S. Heinemeyer
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Correspondence to S. Heinemeyer.

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Received: 12 November 2004, Published online: 25 January 2005

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Heinemeyer, S., Hollik, W., Rzehak, H. et al. High-precision predictions for the MSSM Higgs sector at \({{\mathcal{O}}}(\alpha_b\alpha_s)\) . Eur. Phys. J. C 39, 465–481 (2005). https://doi.org/10.1140/epjc/s2005-02112-6

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