Measurements of the Branching fractions for $B_{(}s)->D_{(}s)\pi \pi \pi$ and ${\mathrm{\Lambda }}_b^0->{\mathrm{\Lambda }}_c^{+}\pi \pi \pi$

Branching fractions of the decays $H_b\to H_c{\pi }^{-}{\pi }^{+}{\pi }^{-}$ relative to $H_b\to H_c{\pi }^{-}$ are presented, where $H_b$ ($H_c$) represents B^0-bar($D^{+}$), $B^{-}$ ($D^0$), B_s^0-bar ($D_s^{+}$) and ${\mathrm{\Lambda }}_b^0$ (${\mathrm{\Lambda }}_c^{+}$). The measurements are performed with the LHCb detector using 35$\mathrm{p}{\mathrm{b}}^{-1}$ of data collected at $\sqrt{s}=7$ TeV. The ratios of branching fractions are measured to be B(B^0-bar -> D^+\pi^-\pi^+\pi^-)/ B(B^0-bar -> D^+\pi^-) = 2.38\pm0.11\pm0.21 B(B^- -> D^0\pi^-\pi^+\pi^-) / B(B^- -> D^0\pi^-) = 1.27\pm0.06\pm0.11 B(B_s^0-bar -> D_s^+\pi^-\pi^+\pi^-) / B(B_s^0-bar -> D_s^+\pi^-) = 2.01\pm0.37\pm0.20 B(\Lambda_b^0->\Lambda_c^+\pi^-\pi^+\pi^-) / B(\Lambda_b^0 -> \Lambda_c^+\pi^-) = 1.43\pm0.16\pm0.13. We also report measurements of partial decay rates of these decays to excited charm hadrons. These results are of comparable or higher precision than existing measurements.