The upper bound of the second Higgs boson mass in minimal gauge mediation with the gravitino warm dark matter

Gong Choi (Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai, 200240, China) ; Tsutomu Yanagida (Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai, 200240, China; Kavli IPMU (WPI), UTIAS, The University of Tokyo, 5-1-5 Kashiwanoha, Chiba, Kashiwa, 277-8583, Japan) ; Norimi Yokozaki (Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Zhejiang, Hangzhou, 310027, China; Theory Center, IPNS, KEK, 1-1 Oho, Ibaraki, Tsukuba, 305-0801, Japan)

A keV-scale gravitino arising from a minimal supersymmetric (SUSY) Standard Model (MSSM) is an interesting possibility since the small scale problems that the ΛCDM model encounters in the modern cosmology could be alleviated with the keV-scale gravitino serving as the warm dark matter (WDM). Such a light gravitino asks for a low scale supersymmetry (SUSY) breaking for which the gauge mediation (GM) is required as a consistent SUSY-breaking mediation mechanism. In this paper, we show upper bounds of the masses of the second CP-even Higgs boson H and the CP-odd Higgs boson A, assuming the keV-scale gravitino to be responsible for the current DM relic abundance: the upper bound on the mass of H/A is found to be ∼ 4 TeV for the gravitino mass of O 10 100 $$ \mathcal{O}\left(10-100\right) $$ keV. Interestingly, the mass of H/A can be as small as 2–3 TeV and the predicted tan β is as large as 55–60 for the gravitino mass of O 10 $$ \mathcal{O}(10) $$ keV. This will be tested in the near future Large Hadron Collider (LHC) experiments.

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      "surname": "Yanagida", 
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      "source": "Springer", 
      "value": "A keV-scale gravitino arising from a minimal supersymmetric (SUSY) Standard Model (MSSM) is an interesting possibility since the small scale problems that the \u039bCDM model encounters in the modern cosmology could be alleviated with the keV-scale gravitino serving as the warm dark matter (WDM). Such a light gravitino asks for a low scale supersymmetry (SUSY) breaking for which the gauge mediation (GM) is required as a consistent SUSY-breaking mediation mechanism. In this paper, we show upper bounds of the masses of the second CP-even Higgs boson H and the CP-odd Higgs boson A, assuming the keV-scale gravitino to be responsible for the current DM relic abundance: the upper bound on the mass of H/A is found to be \u223c 4 TeV for the gravitino mass of   <math> <mi>O</mi> <mfenced> <mrow> <mn>10</mn> <mo>\u2212</mo> <mn>100</mn> </mrow> </mfenced> </math>  $$ \\mathcal{O}\\left(10-100\\right) $$  keV. Interestingly, the mass of H/A can be as small as 2\u20133 TeV and the predicted tan \u03b2 is as large as 55\u201360 for the gravitino mass of   <math> <mi>O</mi> <mfenced> <mn>10</mn> </mfenced> </math>  $$ \\mathcal{O}(10) $$  keV. This will be tested in the near future Large Hadron Collider (LHC) experiments."
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Published on:
02 April 2021
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2021 (2021)
Issue 4
Pages 1-15
DOI:
https://doi.org/10.1007/JHEP04(2021)024
arXiv:
2012.03266
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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