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We present a calculation of the light neutral CP-even Higgs boson pole massin the real MSSM which combines state-of-the-art EFT and fixed-order results,including the three-loop fixed-order QCD corrections as well as the resummationof logarithmic terms in the ratio of the weak to the SUSY scale up to fourthlogarithmic order. This hybrid calculation should be valid for arbitrary SUSYscales above the weak scale. Comparison to the pure fixed-order and EFT resultsprovides an estimate of their individual validity range.

The light CP-even MSSM Higgs mass including N$^3$LO+N$^3$LL QCD corrections