Eur. Phys. J. C (2025) 85: 42
https://doi.org/10.1140/epjc/s10052-025-13752-7

Regular Article - Theoretical Physics

A phenomenological estimate of rescattering effects in $B_s\to K_{}^{\ast 0}{\overline{K}}^{\ast 0}$

¹ Chongqing University of Posts and Telecommunications, 400065, Chongqing, China
² Department of Physics and Chongqing Key Laboratory for Strongly Coupled Physics, Chongqing University, 401331, Chongqing, People’s Republic of China
³ Department of Physics, Guizhou Minzu University, 550025, Guiyang, People’s Republic of China
⁴ School of Physics and Microelectronics, Zhengzhou University, 450001, Zhengzhou, Henan, China

^a yuyao@cqupt.edu.cn
^b fuhb@gzmu.edu.cn
^c zhanghanzzu@gs.zzu.edu.cn
^d baiciank@ihep.ac.cn

Received: 4 November 2024
Accepted: 20 December 2024
Published online: 21 January 2025

Abstract

The measurements in $b\to s$ penguin-dominated decays are widely recognized as a powerful test for searching for New Physics by studying the deviation from theoretical estimations within the Standard Model. We examine the final-state rescattering effects on the decay $B_s\to K_{}^{\ast 0}{\overline{K}}^{\ast 0}$ and provide estimations of the branching ratio and longitudinal polarization of $B_s\to K_{}^{\ast 0}{\overline{K}}^{\ast 0}$, which is consistent with experimental observations. Our conclusion is that both short- and long-distance interactions contribute significantly in this decay. The small longitudinal polarization in $B\to VV$ modes may not be a signal for New Physics.