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Journal Articles European Physical Journal C: Particles and Fields Year : 2022

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

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Rima El-Kosseifi
• Function : Author
Jean-Loïc Kneur
• Function : Author
Gilbert Moultaka
• Function : Author
Dirk Zerwas
• Function : Author

#### Abstract

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.

### Dates and versions

hal-03574108 , version 1 (02-08-2022)

### Identifiers

• HAL Id : hal-03574108 , version 1
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### Cite

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⟩

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