Abellan Beteta, CarlosCalvo Gómez, MíriamCamboni, AlessandroComerma Montells, AlbertDomingo Bonal, FrancescGarrido Beltrán, LluísGascón Fora, DavidGrabalosa Gándara, MarcGraciani Díaz, RicardoGraugés Pous, EugeniLópez Asamar, EliasPérez-Calero Yzquierdo, AntonioPicatoste Olloqui, EduardoPie Valls, B. (Blai)Potterat, CédricPuig Navarro, AlbertRoselló, M.Ruiz, Hugo (Ruiz Pérez)Vázquez Gómez, RicardVilasis-Cardona, XavierLHCb Collaboration2014-10-022014-10-022012-041126-6708https://hdl.handle.net/2445/57955The decay mode \( B_s^0 \to D_s^{ \mp }{K^{\pm }} \) allows for one of the theoretically cleanest measurements of the CKM angle γ through the study of time-dependent CP violation. This paper reports a measurement of its branching fraction relative to the Cabibbo-favoured mode \( B_s^0 \to D_s^{ - }{\pi^{ + }} \) based on a data sample corresponding to 0.37 fb−1 of proton-proton collisions at \( \sqrt {s} = 7\;{\text{TeV}} \) collected in 2011 with the LHCb detector. In addition, the ratio of B meson production fractions f s /f d , determined from semileptonic decays, together with the known branching fraction of the control channel B 0 → D −π+, is used to perform an absolute measurement of the branching fractions: $ \begin{gathered} \mathcal{B}\left( {B_s^0 \to D_s^{ - }{\pi^{ + }}} \right) = \left( {2.95\pm 0.05\pm 0.17_{{ - 0.22}}^{{ + 0.18}}} \right) \times {10^{{ - 3}}}, \hfill \\ \mathcal{B}\left( {B_s^0 \to D_s^{ \mp }{K^{\pm }}} \right) = \left( {1.90\pm 0.12\pm 0.13_{{ - 0.14}}^{{ + 0.12}}} \right) \times {10^{{ - 4}}}, \hfill \\ \end{gathered} $ where the first uncertainty is statistical, the second the experimental systematic uncertainty, and the third the uncertainty due to f s /f d .18 p.application/pdfengcc by (c) LHCb Collaboration, 2012http://creativecommons.org/licenses/by/3.0/HadronsTeoria quàntica de campsGravitacióRelativitat (Física)Teoria quànticaHadronsQuantum field theoryGravitationRelativity (Physics)Quantum theoryinfo:eu-repo/semantics/article6196092014-10-02info:eu-repo/semantics/openAccess