# Observation of the decay $\overline{B}_s^0 \rightarrow \psi(2S) K^+ \pi^-$ - Zurich Open Repository and Archive

LHCb Collaboration; Anderson, J; Bernet, R; Bowen, E; Bursche, A; Chiapolini, N; Chrzaszcz, M; Dey, B; Elsasser, C; Graverini, E; Lionetto, F; Lowdon, P; Mauri, A; Müller, K; Serra, N; Steinkamp, O; Storaci, B; Straumann, U; Tresch, M; Vollhardt, A; Weiden, A; et al (2015). Observation of the decay $\overline{B}_s^0 \rightarrow \psi(2S) K^+ \pi^-$. Physics Letters B, 747:484-494.

## Abstract

The decay $\overline{B}_s^0 \rightarrow \psi(2S) K^+ \pi^-$ is observed using a data set corresponding to an integrated luminosity of $3.0fb^{-1}$ collected by the LHCb experiment in $pp$ collisions at centre-of-mass energies of 7 and 8 TeV. The branching fraction relative to the $B^0\rightarrow \psi(2S) K^+ \pi^-$ decay mode is measured to be $$\frac{{\cal B}(\overline{B}^0_s \rightarrow \psi(2S) K^+ \pi^-)}{{\cal B}(B^0 <br />\rightarrow \psi(2S) K^+ \pi^-)} = 5.38 \pm 0.36 (stat) \pm 0.22 (syst) \pm 0.31 \, (f_s/f_d) \, \%,\nonumber$$ where $f_s/f_d$ indicates the uncertainty due to the ratio of probabilities for a $b$ quark to hadronise into a $B_s^0$ or $B^0$ meson. Using an amplitude analysis, the fraction of decays proceeding via an intermediate $K^*(892)^0$ meson is measured to be $0.645 \pm 0.049 (stat) \pm 0.049 (syst)$ and its longitudinal polarisation fraction is $0.524 \pm 0.056 (stat) \pm 0.029 (syst)$. The relative branching fraction for this component is determined to be $$\frac{{\cal B}(\overline{B}^0_s \rightarrow \psi(2S) K^*(892)^0)}{{\cal B}(B^0 <br />\rightarrow \psi(2S) K^*(892)^0)} = 5.58 \pm 0.57 (stat) \pm 0.40 (syst) \pm 0.32 \, (f_s/f_d) \, \%. \nonumber$$ In addition, the mass splitting between the $B_s^0$ and $B^0$ mesons is measured as $$M(B^0_s) - M(B^0) = 87.45 \pm 0.44 (stat) \pm 0.07 (syst) MeV/c^2. \nonumber$$

## Abstract

The decay $\overline{B}_s^0 \rightarrow \psi(2S) K^+ \pi^-$ is observed using a data set corresponding to an integrated luminosity of $3.0fb^{-1}$ collected by the LHCb experiment in $pp$ collisions at centre-of-mass energies of 7 and 8 TeV. The branching fraction relative to the $B^0\rightarrow \psi(2S) K^+ \pi^-$ decay mode is measured to be $$\frac{{\cal B}(\overline{B}^0_s \rightarrow \psi(2S) K^+ \pi^-)}{{\cal B}(B^0 <br />\rightarrow \psi(2S) K^+ \pi^-)} = 5.38 \pm 0.36 (stat) \pm 0.22 (syst) \pm 0.31 \, (f_s/f_d) \, \%,\nonumber$$ where $f_s/f_d$ indicates the uncertainty due to the ratio of probabilities for a $b$ quark to hadronise into a $B_s^0$ or $B^0$ meson. Using an amplitude analysis, the fraction of decays proceeding via an intermediate $K^*(892)^0$ meson is measured to be $0.645 \pm 0.049 (stat) \pm 0.049 (syst)$ and its longitudinal polarisation fraction is $0.524 \pm 0.056 (stat) \pm 0.029 (syst)$. The relative branching fraction for this component is determined to be $$\frac{{\cal B}(\overline{B}^0_s \rightarrow \psi(2S) K^*(892)^0)}{{\cal B}(B^0 <br />\rightarrow \psi(2S) K^*(892)^0)} = 5.58 \pm 0.57 (stat) \pm 0.40 (syst) \pm 0.32 \, (f_s/f_d) \, \%. \nonumber$$ In addition, the mass splitting between the $B_s^0$ and $B^0$ mesons is measured as $$M(B^0_s) - M(B^0) = 87.45 \pm 0.44 (stat) \pm 0.07 (syst) MeV/c^2. \nonumber$$

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Item Type: Journal Article, refereed, original work 07 Faculty of Science > Physics Institute 530 Physics English 24 March 2015 16 Feb 2016 10:09 05 Apr 2016 20:02 Elsevier 0370-2693 Publisher DOI. An embargo period may apply. https://doi.org/10.1016/j.physletb.2015.06.038 arXiv:1503.07112v3

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