Kinematical Test of Large Extra Dimension in Beta Decay Experiments

TL;DR

This paper proposes a kinematical method using beta decay experiments to test for large extra dimensions, showing that KATRIN can significantly improve current bounds on the size of extra dimensions.

Contribution

It introduces a novel kinematical approach to probe large extra dimensions through beta decay, surpassing existing neutrino oscillation constraints.

Findings

KATRIN can probe compactification radii down to 0.2 μm.

The method provides an alternative to oscillation-based tests.

It enhances sensitivity to extra dimensions by at least a factor of two.

Abstract

The forthcoming experiments on neutrino mass measurement using beta decay, open a new window to explore the Large Extra Dimension model. The Kaluza-Klein tower of neutrinos in Large Extra Dimension contribute to the Kurie function of beta decay that can be tested kinematically. In addition to providing an alternative approach using just the kinematical properties, we show that KATRIN can probe the compactification radius of extra dimensions down to 0.2 \mu m which is better, at least by a factor of two, than the upper limits from neutrino oscillation experiments.