Abstract
Our study aims to investigate the viability of neutrino mass models that arise from discrete non-Abelian modular symmetry groups, i.e., ΓN with (N = 1, 2, 3, . . . ) in the future neutrino experiments T2HK, DUNE, and JUNO. Modular symmetry reduces the usage of flavon fields compared to the conventional discrete flavor symmetry models. Theories based on modular symmetries predict the values of leptonic mixing parameters, and therefore, these models can be tested in future neutrino experiments. In this study, we consider three models based on the A4 modular symmetry, i.e., Model-A, B, and C such a way that they predict different values of the oscillation parameters but still allowed with respect to the current data. In the future, it is expected that T2HK, DUNE, and JUNO will measure the neutrino oscillation parameters very precisely, and therefore, some of these models can be excluded in the future by these experiments. We have estimated the prediction of these models numerically and then used them as input to scrutinize these models in the neutrino experiments. Assuming the future best-fit values of θ23 and δCP remain the same as the current one, our results show that at 5σ C.L, Model-A can be excluded by T2HK whereas Model-B can be excluded by both T2HK and DUNE. Model-C cannot be excluded by T2HK and DUNE at 5σ C.L. Further; our results show that JUNO alone can exclude Model-B at an extremely high confidence level if the future best-fit of θ12 remains at the current-one. We have also identified the region in the θ23 - δCP parameter space, for which Model-A cannot be separated from Model-B in T2HK and DUNE.
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Acknowledgments
PM and PP want to thank Prime Minister’s Research Fellows (PMRF) scheme for its financial support. MKB would like to acknowledge Program Management Unit for Human Resources & Institutional Development, Research, and Innovation (PMU-B). This academic position is administered in the framework of the F13 (S4P21) National Postdoctoral/Postgraduate System, contract no. B13F660066. MKB also acknowledges the National Science and Technology Development Agency, National e-Science Infrastructure Consortium, Chulalongkorn University, and the Chulalongkorn Academic Advancement into its 2nd Century Project, NSRF via the Program Management Unit for Human Resources & Institutional Development, Research, and Innovation (Thailand) for providing computing infrastructure that has contributed to the research results reported within this paper. RM would like to acknowledge University of Hyderabad IoE project grant no. RC1-20-012. This work has been in part funded by the Ministry of Science and Education of the Republic of Croatia grant No. KK.01.1.1.01.0001. We gratefully acknowledge the use of the CMSD HPC facility of Univ. of Hyderabad to carry out the computational work.
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Mishra, P., Behera, M.K., Panda, P. et al. Exploring models with modular symmetry in neutrino oscillation experiments. J. High Energ. Phys. 2023, 144 (2023). https://doi.org/10.1007/JHEP09(2023)144
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DOI: https://doi.org/10.1007/JHEP09(2023)144