The density of relic neutrinos is expected to be enhanced due to clustering in our local neighbourhood at Earth. We introduce a novel analytical technique to calculate the neutrino overdensity, based on kinetic field theory. Kinetic field theory is a particle-based theory for cosmic structure formation and in this work we apply it for the first time to massive neutrinos. The gravitational interaction is expanded in a perturbation series and we take into account the first-order contribution to the local density of relic neutrinos. For neutrino masses that are consistent with cosmological neutrino mass bounds, our results are in excellent agreement with state-of-the-art calculations.
Oldengott, I., & et al. (2023). Local clustering of relic neutrinos with kinetic field theory. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 844. https://doi.org/10.1016/j.physletb.2023.138073 (Original work published 2023)