CP violations in neutrino oscillations modulated by singular and non-singular gravities

Abstract

Flavor oscillations in curved space-time provide a novel channel to explore the unknown parameters of neutrinos. In this work, the gravity-modulated CP violations (CPVs) in neutrino oscillations were investigated under the Reissner-Nordstrom, Hayward, and Simpson-Visser metric. The interplay among the CPV, the properties of neutrinos, and the space-time is illustrated with analytical and numerical methods. The morphologies of the flavor-oscillation curves show that the information on the mass-ordering, the absolute mass, and the gravitational parameters could be encoded into the amplitudes and periods of the CPVs. Hence, the characteristic of the space-time background may be identified through its modulation effects on the CPV, such as amplification, damping on the amplitudes.

Figures (11)

• Figure 1: Schematic neutrino propagation impacted by gravitational lensing. $S$ is the source, $D$ is the detector. $b$ is the impact factor, $\delta$ is the deflection angle and $\gamma$ marks the misalignment of the coordinates $(x,y)$ and $(x',y')$. For the original construction of the plot, see Swami:2020qdi and the adapted versions see Chakrabarty:2021bprAlloqulov:2024snsShi:2024flw.
• Figure 2: CP violation including the lensing effects of RN metric under weak-field, with $m_{l}=0$.
• Figure 3: CP violation including the lensing effects of RN metric under strong-field, with $m_{l}=0$.
• Figure 4: CP violation including the lensing effects of HA metric under weak-field, with $m_{l}=0$.
• Figure 5: CP violation including the lensing effects of HA metric under strong-field, with $m_{l}=0$.