Flavored gauge mediation with discrete non-Abelian symmetries

Lisa L. Everett (Department of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA) ; Todd S. Garon (Department of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA)

We explore the model building and phenomenology of flavored gauge-mediation models of supersymmetry breaking in which the electroweak Higgs doublets and the SU(2) messenger doublets are connected by a discrete non-Abelian symmetry. The embedding of the Higgs and messenger fields into representations of this non-Abelian Higgs-messenger symmetry results in specific relations between the Standard Model Yukawa couplings and the messenger-matter Yukawa interactions. Taking the concrete example of an S3 Higgs-messenger symmetry, we demonstrate that, while the minimal implementation of this scenario suffers from a severe μ/Bμ problem that is well known from ordinary gauge mediation, expanding the Higgs-messenger field content allows for the possibility that μ and Bμ can be separately tuned, allowing for the possibility of phenomenologically viable models of the soft supersymmetry-breaking terms. We construct toy examples of this type that are consistent with the observed 125 GeV Higgs boson mass.

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      "value": "We explore the model building and phenomenology of flavored gauge-mediation models of supersymmetry breaking in which the electroweak Higgs doublets and the <math><mrow><mi>S</mi><mi>U</mi><mo>(</mo><mn>2</mn><mo>)</mo></mrow></math> messenger doublets are connected by a discrete non-Abelian symmetry. The embedding of the Higgs and messenger fields into representations of this non-Abelian Higgs-messenger symmetry results in specific relations between the Standard Model Yukawa couplings and the messenger-matter Yukawa interactions. Taking the concrete example of an <math><msub><mi>S</mi><mn>3</mn></msub></math> Higgs-messenger symmetry, we demonstrate that, while the minimal implementation of this scenario suffers from a severe <math><mi>\u03bc</mi><mo>/</mo><msub><mi>B</mi><mi>\u03bc</mi></msub></math> problem that is well known from ordinary gauge mediation, expanding the Higgs-messenger field content allows for the possibility that <math><mi>\u03bc</mi></math> and <math><msub><mi>B</mi><mi>\u03bc</mi></msub></math> can be separately tuned, allowing for the possibility of phenomenologically viable models of the soft supersymmetry-breaking terms. We construct toy examples of this type that are consistent with the observed 125 GeV Higgs boson mass."
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Published on:
21 May 2018
Publisher:
APS
Published in:
Physical Review D , Volume 97 (2018)
Issue 9
DOI:
https://doi.org/10.1103/PhysRevD.97.095028
arXiv:
1610.09024
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: