Right-handed current with $CP$ violation in the $b\to u$ transition

TL;DR

This paper investigates the potential existence of a $CP$-violating right-handed current in the $b o u$ transition, analyzing its implications across various B meson decay modes and its consistency with current experimental data.

Contribution

It proposes a new possibility of $CP$ violation via a right-handed current in $b o u$ transitions and examines its effects on multiple decay channels.

Findings

Right-handed current is consistent with current data.

Potential signals could be observed with more precise $CP$ measurements.

Implications for future experimental searches.

Abstract

We show that the experimental data on $|V_{ub}|$ in various $B$ meson decay modes suggest a possibility of $CP$-violating right-handed current in the $b\to u$ transition. Its consequences in $B\to\pi\pi,\,\rho\rho,\,DK$ are examined and compared with experimental results in order to clarify possible signals of the $CP$ violation in these decay modes. As a result, we find that the $CP$-violating right-handed current is consistent with current experimental data. Its signal might be discovered by precise $CP$ measurements in future experiments.