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The Future Muon Collider for the Study of the \(Z'\) Boson of the \(U(1)_{B-L}\) Model

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Abstract

In this article, we study the production and decay of the \(Z'\) boson predicted by the \(U(1)_{B-L}\) model, which is phenomenologically appealing. To carry out this purpose, we consider the process \(\mu ^+\mu ^- \rightarrow Zh \rightarrow l^+l^-b\bar{b}\) with the subsequent decay of Z to pairs of leptons and of h to pairs of bottom quarks with \(l=e, \mu\). The study is realized in the resonance of the \(Z'\) boson and for the energies and luminosities of a future muon collider of \(\sqrt{s}= 3, 4, 5, 6\) TeV and \(\mathcal{L}=1, 2, 3, 4\) \(\mathrm ab^{-1}\). Our results show that the cross-section depends significantly on the center-of-mass energy of the collider and the parameters of the \(U(1)_{B-L}\) model. The possibility of performing precision measurements for the \(Z'\) boson is very promising at the future muon collider, and our results may be helpful to the High Energy Physics community.

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Acknowledgements

We acknowledge support from SNI (México). J. M. Martínez-Martínez is a scholarship fellow of CONAHCyT.

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Authors and Affiliations

  1. Facultad de Física, Universidad Autónoma de Zacatecas, Apartado Postal C-580, 98060, Zacatecas, México

    J. M. Martínez-Martínez & A. Gutiérrez-Rodríguez

  2. Unidad Académica de Ciencias Químicas, Universidad Autónoma de Zacatecas, Apartado Postal C-585, 98060, Zacatecas, México

    M. A. Hernández-Ruíz

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  1. J. M. Martínez-Martínez
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Martínez-Martínez, J.M., Gutiérrez-Rodríguez, A. & Hernández-Ruíz, M.A. The Future Muon Collider for the Study of the \(Z'\) Boson of the \(U(1)_{B-L}\) Model. Int J Theor Phys 62, 220 (2023). https://doi.org/10.1007/s10773-023-05476-9

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