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The ratios of the branching fractions of the decays $\Lambda_{c}^{+}\rightarrow p \pi^{-} \pi^{+}$, $\Lambda_{c}^{+} \rightarrow p K^{-} K^{+}$,and $\Lambda_{c}^{+} \rightarrow p \pi^{-} K^{+}$ with respect to theCabibbo-favoured $\Lambda_{c}^{+} \rightarrow p K^{-} \pi^{+}$ decay aremeasured using proton-proton collision data collected with the LHCb experimentat a 7 TeV centre-of-mass energy and corresponding to an integrated luminosityof 1.0 fb$^{-1}$:  \begin{align*} \frac{\mathcal{B}(\Lambda_{c}^{+} \rightarrow p \pi^{-}\pi^{+})}{\mathcal{B}(\Lambda_{c}^{+} \rightarrow p K^{-} \pi^{+})} & = (7.44\pm 0.08 \pm 0.18)\,\%, \frac{\mathcal{B}(\Lambda_{c}^{+} \rightarrow p K^{-}K^{+})}{\mathcal{B}(\Lambda_{c}^{+} \rightarrow p K^{-} \pi^{+})} &= (1.70 \pm0.03 \pm 0.03)\,\%, \frac{\mathcal{B}(\Lambda_{c}^{+} \rightarrow p \pi^{-}K^{+})}{\mathcal{B}(\Lambda_{c}^{+} \rightarrow p K^{-} \pi^{+})} & = (0.165\pm 0.015 \pm 0.005 )\,\%, \end{align*} where the uncertainties are statisticaland systematic, respectively. These results are the most precise measurementsof these quantities to date. When multiplied by the world-average value for$\mathcal{B}(\Lambda_{c}^{+} \rightarrow p K^{-} \pi^{+})$, the correspondingbranching fractions are \begin{align*} \mathcal{B}(\Lambda_{c}^{+} \rightarrowp \pi^{-} \pi^{+}) &= (4.72 \pm 0.05 \pm 0.11 \pm 0.25) \times 10^{-3},\mathcal{B}(\Lambda_{c}^{+} \rightarrow p K^{-} K^{+}) &= (1.08 \pm 0.02 \pm0.02 \pm 0.06) \times 10^{-3}, \mathcal{B}(\Lambda_{c}^{+} \rightarrow p\pi^{-} K^{+}) &= (1.04 \pm 0.09 \pm 0.03 \pm 0.05) \times 10^{-4},\end{align*} where the final uncertainty is due to $\mathcal{B}(\Lambda_{c}^{+}\rightarrow p K^{-} \pi^{+})$.

the journal of high energy physics/the journal of high energy physics

Measurements of the branching fractions of $\Lambda_{c}^{+} \rightarrow  p \pi^{-} \pi^{+}$, $\Lambda_{c}^{+} \rightarrow p K^{-} K^{+}$, and  $\Lambda_{c}^{+} \rightarrow p \pi^{-} K^{+}$