Measurement of $CP$-violating and mixing-induced observables in $B_s^0\to \ddot{I}•{\hat{I}}^3$ decays

Abstract

A time-dependent analysis of the $B_s^0\to \ddot{I}•{\hat{I}}^3$ decay rate is performed to determine the $CP$-violating observables $S_{\ddot{I}•{\hat{I}}^3}$ and $C_{\ddot{I}•{\hat{I}}^3}$, and the mixing-induced observable ${\mathcal{A}}^{\hat{I}}{”}_{\ddot{I}•{\hat{I}}^3}$. The measurement is based on a sample of $pp$ collision data recorded with the LHCb detector, corresponding to an integrated luminosity of 3 fb${}^{-1}$ at center-of-mass energies of 7 and 8 TeV. The measured values are \begin{align*} S_{ϕγ} &= 0.43 \pm 0.30 \pm 0.11, \\ C_{ϕγ} &= 0.11 \pm 0.29 \pm 0.11, \\ \mathcal{A}^Δ_{ϕγ} &= -0.67 \, ^{+0.37}_{-0.41} \pm 0.17, \end{align*} where the first uncertainty is statistical and the second systematic. This is the first measurement of the observables $S$ and $C$ in radiative $B_s^0$ decays. The results are consistent with the Standard Model predictions.

All figures and tables, along with any supplementary material and additional information, are available at https://cern.ch/lhcbproject/Publications/p/LHCb-PAPER-2019-015.html