Towards Higgs masses and decay widths satisfying the symmetries in the (N)MSSM

Abstract In models with an extended Higgs sector, such as the (N)MSSM, scalar states mix with one another. Yet, the concept of Higgs mixing is problematic at the radiative level, since it introduces both a scheme and a gauge dependence. In particular, the definition of Higgs masses and decay amplitu...

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Main Authors: Florian Domingo, Sebastian Paßehr
Format: Article
Language:English
Published: SpringerOpen 2020-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-020-08655-8
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author Florian Domingo
Sebastian Paßehr
author_facet Florian Domingo
Sebastian Paßehr
author_sort Florian Domingo
collection DOAJ
description Abstract In models with an extended Higgs sector, such as the (N)MSSM, scalar states mix with one another. Yet, the concept of Higgs mixing is problematic at the radiative level, since it introduces both a scheme and a gauge dependence. In particular, the definition of Higgs masses and decay amplitudes can be impaired by the presence of gauge-violating pieces of higher order. We discuss in depth the origin and magnitude of such effects and consider two strategies that minimize the dependence on the gauge-fixing parameter and field-renormalization of one-loop order in the definition of the mass and decay observables, both in degenerate and non-degenerate scenarios. In addition, the intuitive concept of mixing and the simplicity of its definition in terms of two-point diagrams can make it tempting to include higher-order corrections on this side of the calculation, irrespectively of the order achieved in vertex diagrams. Using the global $$SU(2)_{\mathrm{L}}$$ S U ( 2 ) L -symmetry in the decoupling limit, we show that no improvement can be expected from such an approach at the level of the Higgs decays, but that, on the contrary, the higher-order terms may lead to numerically large spurious effects.
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spelling doaj.art-7cea7db20e8647088dc8b6fc5757693a2022-12-21T19:56:05ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-12-01801214010.1140/epjc/s10052-020-08655-8Towards Higgs masses and decay widths satisfying the symmetries in the (N)MSSMFlorian Domingo0Sebastian Paßehr1Bethe Center for Theoretical Physics and Physikalisches Institut der Universität BonnInstitute for Theoretical Particle Physics and Cosmology, RWTH Aachen UniversityAbstract In models with an extended Higgs sector, such as the (N)MSSM, scalar states mix with one another. Yet, the concept of Higgs mixing is problematic at the radiative level, since it introduces both a scheme and a gauge dependence. In particular, the definition of Higgs masses and decay amplitudes can be impaired by the presence of gauge-violating pieces of higher order. We discuss in depth the origin and magnitude of such effects and consider two strategies that minimize the dependence on the gauge-fixing parameter and field-renormalization of one-loop order in the definition of the mass and decay observables, both in degenerate and non-degenerate scenarios. In addition, the intuitive concept of mixing and the simplicity of its definition in terms of two-point diagrams can make it tempting to include higher-order corrections on this side of the calculation, irrespectively of the order achieved in vertex diagrams. Using the global $$SU(2)_{\mathrm{L}}$$ S U ( 2 ) L -symmetry in the decoupling limit, we show that no improvement can be expected from such an approach at the level of the Higgs decays, but that, on the contrary, the higher-order terms may lead to numerically large spurious effects.https://doi.org/10.1140/epjc/s10052-020-08655-8
spellingShingle Florian Domingo
Sebastian Paßehr
Towards Higgs masses and decay widths satisfying the symmetries in the (N)MSSM
European Physical Journal C: Particles and Fields
title Towards Higgs masses and decay widths satisfying the symmetries in the (N)MSSM
title_full Towards Higgs masses and decay widths satisfying the symmetries in the (N)MSSM
title_fullStr Towards Higgs masses and decay widths satisfying the symmetries in the (N)MSSM
title_full_unstemmed Towards Higgs masses and decay widths satisfying the symmetries in the (N)MSSM
title_short Towards Higgs masses and decay widths satisfying the symmetries in the (N)MSSM
title_sort towards higgs masses and decay widths satisfying the symmetries in the n mssm
url https://doi.org/10.1140/epjc/s10052-020-08655-8
work_keys_str_mv AT floriandomingo towardshiggsmassesanddecaywidthssatisfyingthesymmetriesinthenmssm
AT sebastianpaßehr towardshiggsmassesanddecaywidthssatisfyingthesymmetriesinthenmssm