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    Adinolfi, Marco; Balagura, Vladislav; Barlow, Roger; Betancourt, Christopher; Bezshyiko, Iaroslava; Bocci, Valerio; Borgheresi, Alessio; Borghi, Silvia; Bossu, Francesco; Brundu, Davide; Buytaert, Jan; Calvi, Marta; Campora Perez, Daniel Hugo; Castillo Garcia, Lucia; Chamont, David; Charpentier, Philippe; Clarke, Peter; Closier, Joel; Corvo, Marco; Cruz Torres, Melissa Maria; D'Ambrosio, Carmelo; Davis, Adam; De Capua, Stefano; De Paula, Leandro; Del Buono, Luigi; Dembinski, Hans Peter; Dettori, Francesco; Dovbnya, Anatoliy; Fiorini, Massimiliano; Frei, Christoph; Gallas Torreira, Abraham; Gerick, David; Gorelov, Igor Vladimirovich; Govorkova, Ekaterina; Graziani, Giacomo; Grecu, Alexandru; Hadavizadeh, Thomas; Hadjivasiliou, Christos; Hennessy, Karol; Heß, Miriam; Humair, Thibaud; Jawahery, Abolhassan; Jost, Beat; Jurik, Nathan; Kirn, Thomas; Krzemien, Wojciech; Lacarrere, Daniel; Lemos Cid, Edgar; Loi, Angelo; Lupato, Anna; Macko, Vladimir; Maev, Oleg; Malinin, Alexander; Mathad, Abhijit; Mauri, Andrea; Meier, Frank; Meinert, Nis; Mitzel, Dominik Stefan; Nakada, Tatsuya; Niet, Ramon; Nikodem, Thomas; Obraztsov, Vladimir; Owen, Patrick; Palutan, Matteo; Parker, William; Patrignani, Claudia; Perret, Pascal; Petrolini, Alessandro; Piucci, Alessio; Polycarpo, Erica; Prouve, Claire; Renaudin, Victor; Rinnert, Kurt; Rives Molina, Vicente; Ruf, Thomas; Santimaria, Marco; Schellenberg, Margarete; Sepulveda, Eduardo Enrique; Shears, Tara; Skwarnicki, Tomasz; Spaan, Bernhard; Sun, Liang; Szczekowski, Marek; Teubert, Frederic; Tobin, Mark; Tolk, Siim; Tran, Minh Tâm; Uwer, Ulrich; Vacca, Claudia; Vagnoni, Vincenzo; Valassi, Andrea; Van Veghel, Maarten; Viemann, Harald; Vitti, Marcela; Watson, Nigel; Websdale, David; Weiden, Andreas; Wormser, Guy; Yin, Hang; Zonneveld, Jennifer Brigitta

    2018
    Report

    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 the Cabibbo-favoured $\Lambda_{c}^{+} \rightarrow p K^{-} \pi^{+}$ decay are measured using proton-proton collision data collected with the LHCb experiment at a 7 TeV centre-of-mass energy and corresponding to an integrated luminosity of 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 \pm 0.03 \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 statistical and systematic, respectively. These results are the most precise measurements of these quantities to date. When multiplied by the world-average value for $\mathcal{B}(\Lambda_{c}^{+} \rightarrow p K^{-} \pi^{+})$, the corresponding branching fractions are \begin{align*} \mathcal{B}(\Lambda_{c}^{+} \rightarrow p \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 \pm 0.02 \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 $\mathcal{B}(\Lambda_{c}^{+} \rightarrow p K^{-} \pi^{+})$.