Long range neutrino forces in the cosmic relic neutrino background

TL;DR

This paper investigates how the cosmic relic neutrino background influences long-range neutrino-mediated forces between macroscopic bodies, revealing screening effects at large distances and unaffected interactions at small scales.

Contribution

It provides a theoretical analysis of how relic neutrinos modify long-range neutrino forces, highlighting the screening phenomenon at large distances.

Findings

Relic neutrinos screen long-range forces at distances greater than T^{-1}.

At small distances, neutrino forces remain unaffected by the relic background.

The study clarifies the distance-dependent behavior of neutrino-mediated interactions in cosmic conditions.

Abstract

Neutrinos mediate long range forces among macroscopic bodies in vacuum. When the bodies are placed in the neutrino cosmic background, these forces are modified. Indeed, at distances long compared to the scale $T^{-1}$, the relic neutrinos completely screen off the 2-neutrino exchange force, whereas for small distances the interaction remains unaffected.