Abstract
We propose a neutrino mass model with a generalized \(\mu \tau \)-flavored CP symmetry assuming the light Majorana neutrino mass term enjoys an invariance under a generalized Friedberg-Lee (FL) transformation. While both Normal Ordering (NO) as well as the Inverted Ordering (IO) are allowed, the absolute scale of neutrino masses is dictated as a consequence of FL symmetry. For both NO and IO, we show that the atmospheric mixing angle \(\theta _{23}\ne \pi /4\). The Dirac CP phase \(\delta =\pi /2,3\pi /2\) for IO and nearly maximal for NO due to \(\cos \delta \propto \sin \theta _{13}\). For the NO, very tiny CP violation might arise through one of the Majorana phases, namely, \(\beta \). Beside fitting the neutrino oscillation data, we present a study of \(\nu _\mu \rightarrow \nu _e\) oscillation which is expected to reveal Dirac CP violation in long-baseline experiments. We also calculate the Ultra High Energy (UHE) neutrino flavor flux ratios at neutrino telescopes, from which statements regarding the octant of \(\theta _{23}\) have been made in our model.
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Notes
- 1.
In rest of the paper, \(\eta _e\), \(\eta _{\mu }\) and \(\eta _{\tau }\) are referred to as \(\eta _1\), \(\eta _2\) and \(\eta _3\), respectively.
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Sinha, R., Bhattacharya, S., Samanta, R. (2021). Consequences of a CP-Transformed \(\mu \tau \)-Flavored Friedberg-Lee Symmetry in a Neutrino Mass Model. In: Behera, P.K., Bhatnagar, V., Shukla, P., Sinha, R. (eds) XXIII DAE High Energy Physics Symposium. DAEBRNS HEPS 2018 2018. Springer Proceedings in Physics, vol 261. Springer, Singapore. https://doi.org/10.1007/978-981-33-4408-2_71
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DOI: https://doi.org/10.1007/978-981-33-4408-2_71
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