Measurement of $CP$ asymmetry in $B_s^0\to D_s^{\mp }{K}^{\pm }$ decays

Abstract

A measurement of the $CP$-violating parameters in $B_s^0\to D_s^{\mp }{K}^{\pm }$ decays is reported, based on the analysis of proton-proton collision data collected by the LHCb experiment corresponding to an integrated luminosity of $6{\mathrm{fb}}^{-1}$ at a centre-of-mass energy of $13\mathrm{TeV}$. The measured parameters are obtained with a decay-time dependent analysis yielding $C_f=0.791\pm 0.061\pm 0.022$, $A_f^{\hat{I}”\hat{I}“}=-0.051\pm 0.134\pm 0.058$, $A_{\overline{f}}^{\hat{I}”\hat{I}“}=-0.303\pm 0.125\pm 0.055$, $S_f=-0.571\pm 0.084\pm 0.023$ and $S_{\overline{f}}=-0.503\pm 0.084\pm 0.025$, where the first uncertainty is statistical and the second systematic. This corresponds to $CP$ violation in the interference between mixing and decay of about $8.6\ddot{I}ƒ$. Together with the value of the Bs mixing phase $-2{\hat{I}}_s^2$, these parameters are used to obtain a measurement of the CKM angle ${\hat{I}}^3$ equal to $(74\pm 12{)}^{\circ }$ modulo $180^{\circ }$, where the uncertainty contains both statistical and systematic contributions. This result is combined with the previous LHCb measurement in this channel using $3{\mathrm{fb}}^{-1}$ resulting in a determination of ${\hat{I}}^3=(81_{-11}^{+12}{)}^{\circ }$.

All figures and tables, along with machine-readable versions and any supplementary material and additional information, are available at https://lbfence.cern.ch/alcm/public/analysis/full-details/3575/ (LHCb public pages)