Study of CKM angle $\gamma$ sensitivity using flavor untagged $B_s^0\to {\tilde{D}}^{(\ast )0}\varphi$ decays

Abstract

A sensitivity study for the measurement of the CKM angle $\gamma$ from $B_s^0\to {\tilde{D}}^{(\ast )0}\varphi$ decays is performed using $D$ meson reconstructed in the quasi flavour-specific modes $K\pi$, $K3\pi$, $K\pi {\pi }^0$, and \CP-eigenstate modes $KK$ and $\pi \pi$, where the notation ${\tilde{D}}^0$ corresponds to a $D^0$ or a ${\tilde{D}}^0$ meson. The LHCb experiment is taken as a use case. A statistical uncertainty of about $8-19^{\circ }$ can be achieved with the $pp$ collision data collected by the LHCb experiment from year 2011 to 2018. The sensitivity to $\gamma$ should be of the order $3-8^{\circ }$ after accumulating 23\invfb of $pp$ collision data by 2025, while it is expected to further improve with 300~fb${}^{-1}$ by the second half of the 2030 decade. The accuracy depends on the strong parameters $r_B^{(\ast )}$ and ${\delta }_B^{(\ast )}$, describing, together with $\gamma$, the interference between the leading amplitudes of the $B_s^0\to {\tilde{D}}^{(\ast )0}\varphi$ decays.

arXiv comment37 pages, 41 figures

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Cited by in corpus (3)

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