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

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.
Document type :
Journal articles

https://hal.archives-ouvertes.fr/hal-03574108
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Submitted on : Tuesday, August 2, 2022 - 12:47:13 PM
Last modification on : Tuesday, October 25, 2022 - 4:39:58 PM

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2202.06919.pdf
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### Citation

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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