Muon $$\mathbf {g-2}$$ g - 2 , neutralino dark matter and stau NLSP

Abstract We explore the implications of resolving the muon $$g-2$$ g - 2 anomaly in a $$SU(4)_c \times SU(2)_L \times SU(2)_R$$ S U ( 4 ) c × S U ( 2 ) L × S U ( 2 ) R model, where the soft supersymmetry breaking scalar and gaugino masses break the left-right (LR) symmetry. A 2 $$\sigma $$ σ resolut...

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Main Authors: Mario E. Gómez, Qaisar Shafi, Amit Tiwari, Cem Salih Ün
Format: Article
Language:English
Published: SpringerOpen 2022-06-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-022-10507-6
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author Mario E. Gómez
Qaisar Shafi
Amit Tiwari
Cem Salih Ün
author_facet Mario E. Gómez
Qaisar Shafi
Amit Tiwari
Cem Salih Ün
author_sort Mario E. Gómez
collection DOAJ
description Abstract We explore the implications of resolving the muon $$g-2$$ g - 2 anomaly in a $$SU(4)_c \times SU(2)_L \times SU(2)_R$$ S U ( 4 ) c × S U ( 2 ) L × S U ( 2 ) R model, where the soft supersymmetry breaking scalar and gaugino masses break the left-right (LR) symmetry. A 2 $$\sigma $$ σ resolution of the anomaly requires relatively light sleptons, chargino and LSP neutralino. The stau turns out to be the NLSP of mass $$m_{\tilde{\tau }}\lesssim 400$$ m τ ~ ≲ 400  GeV, and the sleptons from the first two families can be as heavy as about 800 GeV. The chargino is also required to be lighter than about 600 GeV to accommodate the muon $$g-2$$ g - 2 solutions consistent with the dark matter relic density constraint. The dominant right-handed nature of the light slepton states suppress the sensitivity of possible signals which can be probed in Run3 experiments at the LHC. We also discuss the impact of accommodating the Higgs boson mass and the vacuum stability of the scalar potential for these solutions. Although a light stau can be compatible with the stability of the scalar potential, the Higgs boson mass constraint has a strong impact on the solutions with $$\tan \beta $$ tan β bounded from above, namely $$\tan \beta \lesssim 20$$ tan β ≲ 20 . The Higgsinos are heavier than about 4 TeV, and the LSP neutralino has the correct relic density if it is Bino-like. We identify stau–neutralino coannihilation as the dominant mechanism for realizing the desired dark matter relic density, with sneutrino–neutralino coannihiliation playing a minor role. These bino-like dark matter solutions can yield a spin-independent scattering cross-section on the order of $$10^{-13}$$ 10 - 13 pb which hopefully, can be expected to be tested in the near future.
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spelling doaj.art-87b65f876f8148c097603a08f35c40b82022-12-22T03:36:46ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-06-0182612310.1140/epjc/s10052-022-10507-6Muon $$\mathbf {g-2}$$ g - 2 , neutralino dark matter and stau NLSPMario E. Gómez0Qaisar Shafi1Amit Tiwari2Cem Salih Ün3Departamento de Ciencias Integradas y Centro de Estudios Avanzados en Física Matemáticas y Computación, Campus del Carmen, Universidad de HuelvaDepartment of Physics and Astronomy, University of DelawareDepartment of Physics, Bursa Uludag̃ UniversityDepartamento de Ciencias Integradas y Centro de Estudios Avanzados en Física Matemáticas y Computación, Campus del Carmen, Universidad de HuelvaAbstract We explore the implications of resolving the muon $$g-2$$ g - 2 anomaly in a $$SU(4)_c \times SU(2)_L \times SU(2)_R$$ S U ( 4 ) c × S U ( 2 ) L × S U ( 2 ) R model, where the soft supersymmetry breaking scalar and gaugino masses break the left-right (LR) symmetry. A 2 $$\sigma $$ σ resolution of the anomaly requires relatively light sleptons, chargino and LSP neutralino. The stau turns out to be the NLSP of mass $$m_{\tilde{\tau }}\lesssim 400$$ m τ ~ ≲ 400  GeV, and the sleptons from the first two families can be as heavy as about 800 GeV. The chargino is also required to be lighter than about 600 GeV to accommodate the muon $$g-2$$ g - 2 solutions consistent with the dark matter relic density constraint. The dominant right-handed nature of the light slepton states suppress the sensitivity of possible signals which can be probed in Run3 experiments at the LHC. We also discuss the impact of accommodating the Higgs boson mass and the vacuum stability of the scalar potential for these solutions. Although a light stau can be compatible with the stability of the scalar potential, the Higgs boson mass constraint has a strong impact on the solutions with $$\tan \beta $$ tan β bounded from above, namely $$\tan \beta \lesssim 20$$ tan β ≲ 20 . The Higgsinos are heavier than about 4 TeV, and the LSP neutralino has the correct relic density if it is Bino-like. We identify stau–neutralino coannihilation as the dominant mechanism for realizing the desired dark matter relic density, with sneutrino–neutralino coannihiliation playing a minor role. These bino-like dark matter solutions can yield a spin-independent scattering cross-section on the order of $$10^{-13}$$ 10 - 13 pb which hopefully, can be expected to be tested in the near future.https://doi.org/10.1140/epjc/s10052-022-10507-6
spellingShingle Mario E. Gómez
Qaisar Shafi
Amit Tiwari
Cem Salih Ün
Muon $$\mathbf {g-2}$$ g - 2 , neutralino dark matter and stau NLSP
European Physical Journal C: Particles and Fields
title Muon $$\mathbf {g-2}$$ g - 2 , neutralino dark matter and stau NLSP
title_full Muon $$\mathbf {g-2}$$ g - 2 , neutralino dark matter and stau NLSP
title_fullStr Muon $$\mathbf {g-2}$$ g - 2 , neutralino dark matter and stau NLSP
title_full_unstemmed Muon $$\mathbf {g-2}$$ g - 2 , neutralino dark matter and stau NLSP
title_short Muon $$\mathbf {g-2}$$ g - 2 , neutralino dark matter and stau NLSP
title_sort muon mathbf g 2 g 2 neutralino dark matter and stau nlsp
url https://doi.org/10.1140/epjc/s10052-022-10507-6
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AT cemsalihun muonmathbfg2g2neutralinodarkmatterandstaunlsp