We report measurements of the branching fractions of the decays ${\mathrm{\Lambda }}_c^{+}\to {\mathrm{\Sigma }}^{+}{\pi }^{-}{\pi }^{+}$, ${\mathrm{\Lambda }}_c^{+}\to {\mathrm{\Sigma }}^0{\pi }^{+}{\pi }^0$ and ${\mathrm{\Lambda }}_c^{+}\to {\mathrm{\Sigma }}^{+}{\pi }^0{\pi }^0$ relative to the reference channel ${\mathrm{\Lambda }}_c^{+}\to p{K}^{-}{\pi }^{+}$. The analysis is based on the full data sample collected at and near the $\mathrm{\Upsilon }(4S)$ resonance by the Belle detector at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider, corresponding to an integrated luminosity of $711{\mathrm{fb}}^{-1}$. We measure $\mathcal{B}({\mathrm{\Lambda }}_c^{+}\to {\mathrm{\Sigma }}^{+}{\pi }^{-}{\pi }^{+})/\mathcal{B}({\mathrm{\Lambda }}_c^{+}\to p{K}^{-}{\pi }^{+})=0.719\pm 0.003\pm 0.024$, $\mathcal{B}({\mathrm{\Lambda }}_c^{+}\to {\mathrm{\Sigma }}^0{\pi }^{+}{\pi }^0)/\mathcal{B}({\mathrm{\Lambda }}_c^{+}\to p{K}^{-}{\pi }^{+})=0.575\pm 0.005\pm 0.036$ and $\mathcal{B}({\mathrm{\Lambda }}_c^{+}\to {\mathrm{\Sigma }}^{+}{\pi }^0{\pi }^0)/\mathcal{B}({\mathrm{\Lambda }}_c^{+}\to p{K}^{-}{\pi }^{+})=0.247\pm 0.006\pm 0.019$. The listed uncertainties are statistical and systematic, respectively.

• Received 13 February 2018

DOI:https://doi.org/10.1103/PhysRevD.98.112006

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Published by the American Physical Society