Decay of $B^\pm \to \tau^\pm +$ "missing momentum" and direct measurement of the mixing parameter $U_{\tau N}$

TL;DR

This paper derives decay widths for heavy mesons decaying into sterile neutrinos and uses experimental data to directly measure the mixing parameter $U_{\tau N}$, advancing understanding of sterile neutrino properties.

Contribution

It provides a theoretical framework for decay widths involving sterile neutrinos and applies it to experimental data to measure the mixing parameter $U_{\tau N}$ directly.

Findings

Derived decay widths for heavy meson decays to sterile neutrinos.

Applied theoretical results to experimental data from Belle/BaBar.

Provided constraints on the mixing parameter $U_{\tau N}$.

Abstract

We derive the decay widths for the leptonic decays of heavy charged pseudoscalars to massive sterile neutrinos, $M^{\pm} \to \ell^{\pm} + N$, within the frameworks involving the Standard Model and two-Higgs doublets (type II). We then apply the result to $B^\pm \to \tau^\pm +$ "missing momentum" of the Belle/BaBar experimental results, in order to measure directly the relevant parameter space, including the mixing parameter $U_{\tau N}$.