# Direct CP violation in multi-body $B$ decays with the $a^0_0(980)$--$f_0(980)$ mixing

## TL;DR

This paper predicts large localized CP violation in B meson decays caused by the mixing of scalar mesons a0(980) and f0(980), offering a potential method to verify meson mixing and understand their structure.

## Contribution

It introduces a calculation of CP asymmetry in B decays due to a0(980)-f0(980) mixing, based on their hypothetical quark structures, and suggests experimental measurement as a test.

## Key findings

- CP violation can reach up to 58% near meson masses.
- CP asymmetry is highly sensitive to a0(980)-f0(980) mixing.
- Measurement can verify meson mixing and clarify scalar meson structure.

## Abstract

We predict that the $a_0^0(980)$-$f_0(980)$ mixing would lead to large CP violation. We calculate the localized direct CP asymmetry in the decays $B^\pm \to f_0(980) [a_0^0(980)] \pi^\pm \to \pi^+ \pi^- \pi^\pm $ via the $a_0^0(980)$-$f_0(980)$ mixing mechanism based on the hypothetical $q\bar q$ structures of $a^0_0(980)$ and $f_0(980)$ in the QCD factorization. It is shown that there is a peak for CP violation, which could be as large as 58%, when the invariance mass of $\pi\pi$ is near the masses of $a^0_0(980)$ and $f_0(980)$. Since the CP asymmetry is sensitive to the $a_0^0(980)$-$f_0(980)$ mixing, measuring the CP violating parameter in the aforementioned decays could provide a new way to verify the existence of the $a_0^0(980)$-$f_0(980)$ mixing and be helpful in clarifying the configuration nature of the light scalar mesons.