A minimal supersymmetric SU(5) missing-partner model

Abstract We explore a missing-partner model based on the minimal SU(5) gauge group with $$\mathbf{75} $$ 75 , $$\mathbf{50} $$ 50 and $$\overline{\mathbf{50 }}$$ 50 ¯ Higgs representations, assuming a super-GUT CMSSM scenario in which soft supersymmetry-breaking parameters are universal at some high...

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Main Authors: John Ellis, Jason L. Evans, Natsumi Nagata, Keith A. Olive
Format: Article
Language:English
Published: SpringerOpen 2021-06-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-021-09337-9
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spelling doaj-46660dc854bd4f238f58e4b577fa5af92021-06-27T11:42:09ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-06-0181611810.1140/epjc/s10052-021-09337-9A minimal supersymmetric SU(5) missing-partner modelJohn Ellis0Jason L. Evans1Natsumi Nagata2Keith A. Olive3Theoretical Physics and Cosmology Group, Department of Physics, King’s College LondonTsung-Dao Lee Institute, Shanghai Jiao Tong UniversityDepartment of Physics, University of TokyoWilliam I. Fine Theoretical Physics Institute, School of Physics and Astronomy, University of MinnesotaAbstract We explore a missing-partner model based on the minimal SU(5) gauge group with $$\mathbf{75} $$ 75 , $$\mathbf{50} $$ 50 and $$\overline{\mathbf{50 }}$$ 50 ¯ Higgs representations, assuming a super-GUT CMSSM scenario in which soft supersymmetry-breaking parameters are universal at some high scale $$M_{\mathrm{in}}$$ M in above the GUT scale $$M_{\mathrm{GUT}}$$ M GUT . We identify regions of parameter space that are consistent with the cosmological dark matter density, the measured Higgs mass and the experimental lower limit on $$\tau (p \rightarrow K^+ \nu )$$ τ ( p → K + ν ) . These constraints can be satisfied simultaneously along stop coannihilation strips in the super-GUT CMSSM with $$\tan \beta \sim $$ tan β ∼ 3.5–5 where the input gaugino mass $$m_{1/2} \sim $$ m 1 / 2 ∼ 15–25 TeV, corresponding after strong renormalization by the large GUT Higgs representations between $$M_{\mathrm{in}}$$ M in and $$M_{\mathrm{GUT}}$$ M GUT to $$m_{\mathrm{LSP}}, m_{{\tilde{t}}_1} \sim $$ m LSP , m t ~ 1 ∼ 2.5–5 TeV and $$m_{{\tilde{g}}} \sim $$ m g ~ ∼ 13–20 TeV, with the light-flavor squarks significantly heavier. We find that $$\tau (p \rightarrow K^+ \nu ) \lesssim 3 \times 10^{34}$$ τ ( p → K + ν ) ≲ 3 × 10 34  years throughout the allowed range of parameter space, within the range of the next generation of searches with the JUNO, DUNE and Hyper-Kamiokande experiments.https://doi.org/10.1140/epjc/s10052-021-09337-9
collection DOAJ
language English
format Article
sources DOAJ
author John Ellis
Jason L. Evans
Natsumi Nagata
Keith A. Olive
spellingShingle John Ellis
Jason L. Evans
Natsumi Nagata
Keith A. Olive
A minimal supersymmetric SU(5) missing-partner model
European Physical Journal C: Particles and Fields
author_facet John Ellis
Jason L. Evans
Natsumi Nagata
Keith A. Olive
author_sort John Ellis
title A minimal supersymmetric SU(5) missing-partner model
title_short A minimal supersymmetric SU(5) missing-partner model
title_full A minimal supersymmetric SU(5) missing-partner model
title_fullStr A minimal supersymmetric SU(5) missing-partner model
title_full_unstemmed A minimal supersymmetric SU(5) missing-partner model
title_sort minimal supersymmetric su(5) missing-partner model
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2021-06-01
description Abstract We explore a missing-partner model based on the minimal SU(5) gauge group with $$\mathbf{75} $$ 75 , $$\mathbf{50} $$ 50 and $$\overline{\mathbf{50 }}$$ 50 ¯ Higgs representations, assuming a super-GUT CMSSM scenario in which soft supersymmetry-breaking parameters are universal at some high scale $$M_{\mathrm{in}}$$ M in above the GUT scale $$M_{\mathrm{GUT}}$$ M GUT . We identify regions of parameter space that are consistent with the cosmological dark matter density, the measured Higgs mass and the experimental lower limit on $$\tau (p \rightarrow K^+ \nu )$$ τ ( p → K + ν ) . These constraints can be satisfied simultaneously along stop coannihilation strips in the super-GUT CMSSM with $$\tan \beta \sim $$ tan β ∼ 3.5–5 where the input gaugino mass $$m_{1/2} \sim $$ m 1 / 2 ∼ 15–25 TeV, corresponding after strong renormalization by the large GUT Higgs representations between $$M_{\mathrm{in}}$$ M in and $$M_{\mathrm{GUT}}$$ M GUT to $$m_{\mathrm{LSP}}, m_{{\tilde{t}}_1} \sim $$ m LSP , m t ~ 1 ∼ 2.5–5 TeV and $$m_{{\tilde{g}}} \sim $$ m g ~ ∼ 13–20 TeV, with the light-flavor squarks significantly heavier. We find that $$\tau (p \rightarrow K^+ \nu ) \lesssim 3 \times 10^{34}$$ τ ( p → K + ν ) ≲ 3 × 10 34  years throughout the allowed range of parameter space, within the range of the next generation of searches with the JUNO, DUNE and Hyper-Kamiokande experiments.
url https://doi.org/10.1140/epjc/s10052-021-09337-9
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