%0 Journal Article %T The Higgs boson mass as fundamental parameter of the minimal supersymmetric standard model %+ Centre de Physique des Particules de Marseille (CPPM) %+ Laboratoire Charles Coulomb (L2C) %+ Laboratoire de Physique des 2 Infinis Irène Joliot-Curie (IJCLab) %+ CNRS Helmholtz Dark Matter Lab (DMLAB) %A El-Kosseifi, Rima %A Kneur, Jean-Loïc %A Moultaka, Gilbert %A Zerwas, Dirk %< avec comité de lecture %Z L2C:22-010 %@ 1434-6044 %J European Physical Journal C: Particles and Fields %I Springer Verlag (Germany) %V 82 %N 7 %P 657 %8 2022-07-30 %D 2022 %Z 2202.06919 %R 10.1140/epjc/s10052-022-10606-4 %Z Physics [physics]/High Energy Physics - Phenomenology [hep-ph]Journal articles %X In the Minimal Supersymmetric Standard Model (MSSM) the mass of the lightest neutral Higgs boson is determined by the supersymmetric parameters. In the $m_h$MSSM the precisely measured Higgs boson replaces the trilinear coupling $A_t$ as input parameter. Expressions are derived to extract $A_t$ in a semi-analytical form as a function of the light Higgs boson (pole) mass. An algorithm is developed and implemented at two--loop precision, generalizable to higher orders, to perform this inversion consistently. The result of the algorithm, implemented in the SuSpect spectrum calculator, is illustrated on a parameter set compatible with LHC measurements. %G English %2 https://hal.science/hal-03574108/document %2 https://hal.science/hal-03574108/file/2202.06919.pdf %L hal-03574108 %U https://hal.science/hal-03574108 %~ IN2P3 %~ CPPM %~ CNRS %~ UNIV-AMU %~ L2C %~ UNIV-PARIS-SACLAY %~ UNIV-MONTPELLIER %~ AMIDEX %~ IJCLAB %~ UNIVERSITE-PARIS-SACLAY %~ ANR %~ GS-PHYSIQUE %~ INSTITUT-SCIENCES-LUMIERE %~ UM-2015-2021 %~ UM-EPE