Observation of $Λ_b^0\rightarrow D^+ p π^-π^-$ and $Λ_b^0\rightarrow D^{*+} p π^-π^-$ decays
The multihadron decays $Λ_b^0\rightarrow D^+ p π^-π^-$ and $Λ_b^0\rightarrow D^{*+} p π^-π^-$ are observed in data corresponding to an integrated luminosity of 3fb$^{-1}$, collected in proton-proton collisions at centre-of-mass energies of 7 and 8TeV by the LHCb detector. Using the~decay $Λ_b^0\rightarrow Λ_c^+ π^+ π^-π^-$ as a normalisation channel, the ratio of branching fractions is measured to be $$ \frac { {\mathcal{B}} ( Λ_b^0\rightarrow D^+ p π^-π^- ) } { {\mathcal{B}} ( Λ_b^0\rightarrow Λ_c^+ π^+ π^-π^- ) } \times \frac { {\mathcal{B}} ( D^+ \rightarrow K^-π^+π^+) } { {\mathcal{B}} ( Λ_c^+ \rightarrow p K^-π^+ ) } = ( 5.35 \pm 0.21 \pm 0.16 ) \% \,, $$ where the first uncertainty is statistical and the second systematic. The ratio of branching fractions for $Λ_b^0\rightarrow D^{*+} p π^-π^-$ and $Λ_b^0\rightarrow D^+ p π^-π^-$ decays is found to be $$ \frac{ {\mathcal{B}} ( Λ_b^0\rightarrow D^{*+} p π^-π^- )} { {\mathcal{B}} ( Λ_b^0\rightarrow D^{+} p π^-π^- )} \times ( {\mathcal{B}}( D^{*+} \rightarrow π^0 ) + {\mathcal{B}}( D^{*+} \rightarrow γ)) = ( 61.3 \pm 4.3 \pm 4.0 ) \% \,. $$