The masses of the neutral ${\cal CP}$-even Higgs bosons in the MSSM: Accurate analysis at the two-loop level

S. Heinemeyer; W. Hollik; G. Weiglein

doi:doi:10.1007/s100520050537

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2024 Impact factor 4.8

Particles and Fields

Eur. Phys. J. C 9, 343-366
DOI 10.1007/s100529900006

The masses of the neutral ${\cal CP}$ -even Higgs bosons in the MSSM: Accurate analysis at the two-loop level

S. Heinemeyer¹ - W. Hollik^2,3 - G. Weiglein³

¹ DESY Theorie, Notkestrasse 85, D-22603 Hamburg, Germany
² Theoretical Physics Division, CERN, CH-1211 Geneva 23, Switzerland
³ Institut für Theoretische Physik, Universität Karlsruhe, D-76128 Karlsruhe, Germany

Received: 11 January 1999 / Published online: 28 May 1999

Abstract
We present detailed results of a diagrammatic calculation of the leading two-loop QCD corrections to the masses of the neutral ${\cal CP}$ -even Higgs bosons in the Minimal Supersymmetric Standard Model (MSSM). The two-loop corrections are incorporated into the full diagrammatic one-loop result and supplemented with refinement terms that take into account leading electroweak two-loop and higher-order QCD contributions. The dependence of the results for the Higgs-boson masses on the various MSSM parameters is analyzed in detail, with a particular focus on the part of the parameter space accessible at LEP2 and the upgraded Tevatron. For the mass of the lightest Higgs boson, m_h, a parameter scan has been performed, yielding an upper limit on m_h which depends only on $\tan \beta\hspace{1mm}$ . The results for the Higgs-boson masses are compared with results obtained by renormalization group methods. Good agreement is found in the case of vanishing mixing in the scalar quark sector, while sizable deviations occur if squark mixing is taken into account.