Kaniadakis entropy-based characterization of IceCube PeV neutrino signals

Kaniadakis kappa-thermostatistics is by now recognized as an effective paradigm to describe relativistic complex systems obeying power-law tailed distributions, as opposed to the classical (exponential-type) decay. It is founded on a non-extensive one-parameter generalization of the Bekenstein-Hawking entropy, which, in the cosmological framework, gives rise to modified Friedmann equations on the basis of the gravity-thermodynamic conjecture. Assuming the entropy associated with the apparent horizon of the Friedmann-Robertson-Walker (FRW) Universe follows Kaniadakis prescription, in this work we analyze the observed discrepancy between the present bound on the Dark Matter relic abundance and the IceCube high-energy (similar to 1 PeV) neutrinos. We show that this tension can be alleviated in the minimal model of Dark Matter decay with Kaniadakis-governed Universe evolution, while still considering the 4-dimensional Yukawa coupling between Standard Model and Dark Matter particles. This argument phenomenologically supports the need for a Kaniadakislike generalization of the Boltzmann-Gibbs-Shannon entropy in the relativistic realm, opening new potential scenarios in high-energy astroparticle physics.

Automated summary

Kaniadakis κ-thermostatistics is an effective paradigm for describing relativistic complex systems obeying power-law tailed distributions. It is based on a non-extensive one-parameter generalization of the Bekenstein-Hawking entropy, leading to modified Friedmann equations in the cosmological framework. This approach opens up new potential scenarios in high-energy astroparticle physics.