# Amplitude analysis of the $B_{(s)} \to K^{*0} \overline{K}^{*0}$ decays and measurement of the branching fraction of the $B \to K^{*0} \overline{K}^{*0}$ decay

## TL;DR

This paper performs an amplitude analysis of B meson decays to K*0 pairs, measuring polarization fractions and branching ratios, providing insights into decay dynamics and CP violation in these processes.

## Contribution

It introduces a detailed amplitude analysis of B0 and Bs decays to K*0 pairs, measuring polarization and branching fractions with improved precision.

## Key findings

- Longitudinal polarization fraction for B0 decay is 0.724
- Branching fraction for B0 decay is (8.0 ± 0.9)×10^{-7}
- Different polarization behaviors observed between B0 and Bs decays

## Abstract

The $B^0 \to K^{*0} \overline{K}^{*0}$ and $B^0_s \to K^{*0} \overline{K}^{*0}$ decays are studied using proton-proton collision data corresponding to an integrated luminosity of 3fb$^{-1}$. An untagged and time-integrated amplitude analysis of $B^0_{(s)} \to (K^+\pi^-)(K^-\pi^+) $ decays in two-body invariant mass regions of 150 MeV$/c^2$ around the $K^{*0}$ mass is performed. A stronger longitudinal polarisation fraction in the ${B^0 \to K^{*0} \overline{K}^{*0}}$ decay, ${f_L = 0.724 \pm 0.051 \,({\rm stat}) \pm 0.016 \,({\rm syst})}$, is observed as compared to ${f_L = 0.240 \pm 0.031 \,({\rm stat}) \pm 0.025 \,({\rm syst})}$ in the ${B^0_s\to K^{*0} \overline{K}^{*0}}$ decay. The ratio of branching fractions of the two decays is measured and used to determine $\mathcal{B}(B^0 \to K^{*0} \overline{K}^{*0}) = (8.0 \pm 0.9 \,({\rm stat}) \pm 0.4 \,({\rm syst})) \times 10^{-7}$.