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The signal discovered in the Higgs searches at the LHC can be interpreted asthe Higgs boson of the Standard Model as well as the light CP-even Higgs bosonof the Minimal Supersymmetric Standard Model (MSSM). In this context themeasured mass value, having already reached the level of a precision observablewith an experimental accuracy of about 500 MeV, plays an important role. Thisprecision can be improved substantially below the level of about 50 MeV at thefuture International Linear Collider (ILC). Within the MSSM the mass of thelight CP-even Higgs boson, M_h, can directly be predicted from the otherparameters of the model. The accuracy of this prediction should match the oneof the experimental measurements. The relatively high experimentally observedvalue of the mass of about 125.6 GeV has led to many investigations where thesupersymmetric (SUSY) partners of the top quark have masses in the multi-TeVrange. We review the recent improvements for the prediction for M_h in the MSSMfor large scalar top masses. They were obtained by combining the existingfixed-order result, comprising the full one-loop and leading and subleadingtwo-loop corrections, with a resummation of the leading and subleadinglogarithmic contributions from the scalar top sector to all orders. In this wayfor the first time a high-precision prediction for the mass of the lightCP-even Higgs boson in the MSSM is possible all the way up to the multi-TeVregion of the relevant supersymmetric particles. However, substantial furtherimprovements will be needed to reach the ILC precision. The newly obtainedcorrections to M_h are included into the code FeynHiggs.

Prediction of the light CP-even Higgs-Boson Mass of the MSSM: Towards the ILC Precision