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Results for the full electroweak two-loop contributions of O(Nc^2), where Ncis the colour factor, to the Higgs-boson masses in the MSSM are obtained usinga Feynman-diagrammatic approach including the full dependence on the externalmomentum. These corrections are expected to constitute the dominant part of thetwo-loop corrections that were still missing up to now. As a consequence ofworking at O(Nc^2), the relevant two-loop self-energies decompose into productsof one-loop integrals, giving rise to a transparent analytical structure of theself-energies. We compare different renormalisation schemes for tanb, the ratioof the vacuum expectation values of the two Higgs doublets, and demonstrateunder which conditions different renormalisation schemes can be related to eachother via a simple reparametrisation. We explicitly show that this is ingeneral not possible for mixed renormalisation schemes due to the presence ofevanescent terms. In our numerical analysis, the new corrections are comparedwith already known two-loop contributions and the experimental uncertainty ofthe mass of the observed Higgs boson. While smaller than the already knowntwo-loop corrections, the new terms are typically larger in size than theexperimental uncertainty. This underlines the relevance of the so-far unknownelectroweak two-loop contributions.

Complete electroweak O(Nc^2) two-loop contributions to the Higgs boson masses in the MSSM and aspects of two-loop renormalisation