The Higgs boson mass as fundamental parameter of the minimal supersymmetric standard model

Rima El-Kosseifi (1) , Jean-Loïc Kneur (2) , Gilbert Moultaka (2) , Dirk Zerwas (3, 4)

1 CPPM - Centre de Physique des Particules de Marseille
2 L2C - Laboratoire Charles Coulomb
3 IJCLab - Laboratoire de Physique des 2 Infinis Irène Joliot-Curie
4 DMLAB - CNRS Helmholtz Dark Matter Lab

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.

Domaines: Physique des Hautes Energies - Phénoménologie [hep-ph]

Rima El-Kosseifi, Jean-Loïc Kneur, Gilbert Moultaka, Dirk Zerwas. The Higgs boson mass as fundamental parameter of the minimal supersymmetric standard model. European Physical Journal C: Particles and Fields, 2022, 82 (7), pp.657. ⟨10.1140/epjc/s10052-022-10606-4⟩. ⟨hal-03574108⟩