Search for the $a_0(980)-f_0(980)$ mixing in weak decays of $D_s/B_s$ mesons

TL;DR

This paper investigates the potential to measure the mixing between scalar mesons a₀(980) and f₀(980) in heavy meson weak decays, aiming to clarify their nature through experimental data analysis.

Contribution

It proposes a novel method to extract the a₀-f₀ mixing intensity from heavy meson decay processes using existing and future experimental data.

Findings

Potential to determine mixing intensity with high precision

Utilizes data from BEPC-II, LHC, Super KEKB, and future colliders

Enhances understanding of scalar meson structure

Abstract

Scalar mesons $a^0_0(980)$ and $f_0(980)$ can mix with each other through isospin violating effects, and the mixing intensity has been predicted at the percent level in various theoretical models. However the mixing has not been firmed established on the experimental side to date. In this work we explore the possibility to extract the $a_0-f_0$ mixing intensity using weak decays of heavy mesons: $D_s\to [\pi^0\eta, \pi\pi] e^+\nu$, $B_s\to [\pi^0\eta, \pi\pi]\ell^+\ell^-$ and the $B_s\to J/\psi [\pi^0\eta,\pi^+\pi^-]$ decays. Based on the large amount of data accumulated by various experimental facilities including BEPC-II, LHC, Super KEKB and the future colliders, we find that the $a_0-f_0$ mixing intensity might be determined to a high precision, which will lead to a better understanding of the nature of scalar mesons.