The Mass of the Lightest MSSM Higgs Boson: A Compact Analytical Expression at the Two-Loop Level

A compact approximation formula for the mass of the lightest neutral CP-even Higgs boson, m_h, in the Minimal Supersymmetric Standard Model (MSSM) is derived from the diagrammatic two-loop result for m_h up to O(alpha alpha_s). By analytically expanding the diagrammatic result the leading logarithmi...

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Detalles Bibliográficos
Autores principales: Heinemeyer, S., Hollik, W., Weiglein, G.
Lenguaje:eng
Publicado: 1999
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/S0370-2693(99)00417-7
http://cds.cern.ch/record/382273
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author Heinemeyer, S.
Hollik, W.
Weiglein, G.
author_facet Heinemeyer, S.
Hollik, W.
Weiglein, G.
author_sort Heinemeyer, S.
collection CERN
description A compact approximation formula for the mass of the lightest neutral CP-even Higgs boson, m_h, in the Minimal Supersymmetric Standard Model (MSSM) is derived from the diagrammatic two-loop result for m_h up to O(alpha alpha_s). By analytically expanding the diagrammatic result the leading logarithmic and non-logarithmic as well as the dominant subleading contributions are obtained. The approximation formula is valid for general mixing in the scalar top sector and arbitrary choices of the parameters in the Higgs sector of the model. Its quality is analyzed by comparing it with the full diagrammatic result. We find agreement with the full result better than 2 GeV for most parts of the MSSM parameter space.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1999
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spelling cern-3822732023-03-14T20:34:29Zdoi:10.1016/S0370-2693(99)00417-7http://cds.cern.ch/record/382273engHeinemeyer, S.Hollik, W.Weiglein, G.The Mass of the Lightest MSSM Higgs Boson: A Compact Analytical Expression at the Two-Loop LevelParticle Physics - PhenomenologyA compact approximation formula for the mass of the lightest neutral CP-even Higgs boson, m_h, in the Minimal Supersymmetric Standard Model (MSSM) is derived from the diagrammatic two-loop result for m_h up to O(alpha alpha_s). By analytically expanding the diagrammatic result the leading logarithmic and non-logarithmic as well as the dominant subleading contributions are obtained. The approximation formula is valid for general mixing in the scalar top sector and arbitrary choices of the parameters in the Higgs sector of the model. Its quality is analyzed by comparing it with the full diagrammatic result. We find agreement with the full result better than 2 GeV for most parts of the MSSM parameter space.A compact approximation formula for the mass of the lightest neutral CP-even Higgs boson, m_h, in the Minimal Supersymmetric Standard Model (MSSM) is derived from the diagrammatic two-loop result for m_h up to O(alpha alpha_s). By analytically expanding the diagrammatic result the leading logarithmic and non-logarithmic as well as the dominant subleading contributions are obtained. The approximation formula is valid for general mixing in the scalar top sector and arbitrary choices of the parameters in the Higgs sector of the model. Its quality is analyzed by comparing it with the full diagrammatic result. We find agreement with the full result better than 2 GeV for most parts of the MSSM parameter space.A compact approximation formula for the mass of the lightest neutral CP-even Higgs boson, m_h, in the Minimal Supersymmetric Standard Model (MSSM) is derived from the diagrammatic two-loop result for m_h up to O(alpha alpha_s). By analytically expanding the diagrammatic result the leading logarithmic and non-logarithmic as well as the dominant subleading contributions are obtained. The approximation formula is valid for general mixing in the scalar top sector and arbitrary choices of the parameters in the Higgs sector of the model. Its quality is analyzed by comparing it with the full diagrammatic result. We find agreement with the full result better than 2 GeV for most parts of the MSSM parameter space.A compact approximation formula for the mass of the lightest neutral CP-even Higgs boson, m_h, in the Minimal Supersymmetric Standard Model (MSSM) is derived from the diagrammatic two-loop result for m_h up to O(alpha alpha_s). By analytically expanding the diagrammatic result the leading logarithmic and non-logarithmic as well as the dominant subleading contributions are obtained. The approximation formula is valid for general mixing in the scalar top sector and arbitrary choices of the parameters in the Higgs sector of the model. Its quality is analyzed by comparing it with the full diagrammatic result. We find agreement with the full result better than 2 GeV for most parts of the MSSM parameter space.A compact approximation formula for the mass of the lightest neutral C P -even Higgs boson, m h , in the Minimal Supersymmetric Standard Model (MSSM) is derived from the diagrammatic two-loop result for m h up to O (αα s ) . By analytically expanding the diagrammatic result, the leading logarithmic and non-logarithmic as well as the dominant subleading contributions are obtained. The approximation formula is valid for general mixing in the scalar top sector and arbitrary choices of the parameters in the Higgs sector of the model. Its quality is analysed by comparing it with the full diagrammatic result. The agreement we find with the full result is better than 2 GeV for most parts of the MSSM parameter space.hep-ph/9903404CERN-TH-99-74DESY-99-012KA-TP-1-1999CERN-TH-99-074DESY-99-012KA-TP-99-1oai:cds.cern.ch:3822731999-03-19
spellingShingle Particle Physics - Phenomenology
Heinemeyer, S.
Hollik, W.
Weiglein, G.
The Mass of the Lightest MSSM Higgs Boson: A Compact Analytical Expression at the Two-Loop Level
title The Mass of the Lightest MSSM Higgs Boson: A Compact Analytical Expression at the Two-Loop Level
title_full The Mass of the Lightest MSSM Higgs Boson: A Compact Analytical Expression at the Two-Loop Level
title_fullStr The Mass of the Lightest MSSM Higgs Boson: A Compact Analytical Expression at the Two-Loop Level
title_full_unstemmed The Mass of the Lightest MSSM Higgs Boson: A Compact Analytical Expression at the Two-Loop Level
title_short The Mass of the Lightest MSSM Higgs Boson: A Compact Analytical Expression at the Two-Loop Level
title_sort mass of the lightest mssm higgs boson: a compact analytical expression at the two-loop level
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/S0370-2693(99)00417-7
http://cds.cern.ch/record/382273
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