LHCb: Measurement of the relative yields of the decay modes $B_{d,s} \to D^{\pm}_{(s)}\pi^{\mp}$ and $B_{d,s} \to D^{\pm}_{(s)} K^{\pm}$ and determination of $f_d /f_s$ for 7 TeV $pp$ collisions

Abstract

A fit to the invariant mass distributions is used to determine the relative abundances of the four decay modes $B_{d,s} \to D^{\pm}_{(s)}\pi^{\mp}$ and $B_{d,s} \to D^{\pm}_{(s)} K^{\mp}$ for $B_{d,s}$ mesons produced in 7 TeV $pp$ collisions at the LHC. From these, the relative branching fractions of the kaon modes with respect to the pion modes, and the value of $f_d /f_s$, are determined