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

Rima El-Kosseifi; Jean-Loic Kneur; Gilbert Moultaka; Dirk Zerwas

doi:10.1140/epjc/s10052-022-10606-4

2022 Impact factor 4.4

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 657
https://doi.org/10.1140/epjc/s10052-022-10606-4

Regular Article - Theoretical Physics

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

Rima El-Kosseifi¹^,5, Jean-Loic Kneur², Gilbert Moultaka²^c and Dirk Zerwas³^,4

¹ CPPM, Aix-Marseille Université, CNRS/IN2P3, Marseille, France
² Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS, Montpellier, France
³ IJCLab, Université Paris-Saclay, CNRS/IN2P3, Orsay, France
⁴ DMLab, CNRS/IN2P3, Hamburg, Germany
⁵ Apneal/Mitral SAS, Charenton-le-Pont, France

^c gilbert.moultaka@umontpellier.fr

Received: 17 February 2022
Accepted: 11 July 2022
Published online: 30 July 2022

Abstract

In the Minimal Supersymmetric Standard Model (MSSM) the mass of the lightest neutral Higgs boson is determined by the supersymmetric parameters. In the MSSM the precisely measured Higgs boson replaces the trilinear coupling as input parameter. Expressions are derived to extract 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.

© The Author(s) 2022

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