Eur. Phys. J. C (2017) 77: 725
https://doi.org/10.1140/epjc/s10052-017-5284-9

Regular Article - Theoretical Physics

Seeking sterile neutrinos in Finslerian cosmology

¹ Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin, 300071, China
² Department of Physics, Nankai University, Tianjin, 300071, China

^* e-mail: Cstar@mail.nankai.edu.cn

Received: 29 August 2017
Accepted: 2 October 2017
Published online: 31 October 2017

Abstract

For the first time, to search for sterile neutrinos in the framework of Finler geometry, we constrain four cosmological models using the most stringent constraint we can provide so far. We find that the Finslerian massless sterile neutrino model can, respectively, give a better cosmological fit to data and alleviate the current tension more effectively than the other three models. For the Finslerian massless sterile neutrino model, we obtain the constraint , which is consistent with at the 1.03 confidence level (CL). This gives a very weak hint of massless sterile neutrinos and may imply the non-existence of massless sterile neutrinos in the Finslerian cosmological setting. For the Finslerian massive sterile neutrino model, we obtain the constraints , which favors at the 1.47 CL, and eV at the 2 CL which is much tighter than the Planck results. This very tight restriction appears to indicate the massive sterile neutrinos are also non-existent in the Finslerian scenarios. Consequently, one may conclude that the sterile neutrinos are possibly non-existent in the Finslerian universe. Our results are compatible with the recent results of the neutrino oscillation experiments implemented by the Daya Bay and MINOS collaborations and the cosmic ray one carried out by the IceCube collaboration.