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Majorana dark matter and neutrino mass with \(S_{3}\) symmetry

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Abstract

This model includes a minimal extension of the standard model with \(S_3\) and \(Z_2\) symmetries to explain neutrino masses and mixing along with the dark matter phenomenology. Neutrino phenomenology is explored, consistent with the \(3 \sigma \) observation of oscillation parameters, and a nonzero reactor mixing angle (\(\theta _{13}\)) is obtained. The \(S_3\) singlet Majorana neutrino couples to the third generation of leptons, which gives a correct relic density compatible with the Planck data. This model does not allow tree-level direct detection; therefore, we discuss the loop-level effective interaction with the nucleus mediated by gauge boson, which is allowed by the experimental limit of LUX and PICO-60. Also the constraints from the lepton flavor violating rare decay mode are commented. However, this model has some limitations to address the exact quark mixing and is consistent with the block diagonal structure of quark mixing matrix and nearly massless first-generation quarks. This can be resolved by the extension of the quark or Higgs sector of the present model, which is not explored in the current analysis.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: Since all the required information is provided in the manuscript, there is no such additional data to be attached.]

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Acknowledgements

I acknowledge DST Inspire for its financial support. I am thankful to Prof. Anjan Giri for his useful guidance and also acknowledge Nimmala Narendra and Dr. Shivaramakrishna Singirala and Dr. Nirakar Sahoo for their helpful discussions toward this work.

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  1. Department of Physics, Indian Institute of Technology Hyderabad, Sangareddy, Kandi, 502285, India

    Subhasmita Mishra

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Mishra, S. Majorana dark matter and neutrino mass with \(S_{3}\) symmetry. Eur. Phys. J. Plus 135, 485 (2020). https://doi.org/10.1140/epjp/s13360-020-00461-1

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