Lawrence Berkeley National Laboratory

The charmless three-body decays B( s)0 → KS0h+h′ − (where h(′) = π, K) are analysed using a sample of pp collision data recorded by the LHCb experiment, corresponding to an integrated luminosity of 3 fb−1. The branching fractions are measured relative to that of the B0 → KS0π+π− decay, and are determined to be: ℬB0→KS0K±π∓ℬB0→KS0K+π−=0.123±0.009stat±0.015syst,ℬB0→KS0K+K−ℬB0→KS0π+π−=0.549±0.018stat±0.033syst,ℬBs0→KS0π+π−ℬB0→KS0π+π−=0.191±0.027stat±0.031syst±0.011fs/fd,ℬBs0→KS0K±π∓ℬB0→KS0π+π−=1.70±0.07stat±0.11syst±0.10fs/fd,ℬBs0→KS0K+K−ℬB0→KS0π+π−∈0.008−0.051at90%confidencelevel,$$ \begin{array}{l}\frac{\mathrm{\mathcal{B}}\left({B}^0\to {K}_{\mathrm{S}}^0{K}^{\pm }{\pi}^{\mp}\right)}{\mathrm{\mathcal{B}}\left({B}^0\to {K}_{\mathrm{S}}^0{K}^{+}{\pi}^{-}\right)}=0.123\pm 0.009\left(\mathrm{stat}\right)\pm 0.015\left(\mathrm{syst}\right),\hfill \ {}\frac{\mathrm{\mathcal{B}}\left({B}^0\to {K}_{\mathrm{S}}^0{K}^{+}{K}^{-}\right)}{\mathrm{\mathcal{B}}\left({B}^0\to {K}_{\mathrm{S}}^0{\pi}^{+}{\pi}^{-}\right)}=0.549\pm 0.018\left(\mathrm{stat}\right)\pm 0.033\left(\mathrm{syst}\right),\hfill \ {}\frac{\mathrm{\mathcal{B}}\left({B}_s^0\to {K}_{\mathrm{S}}^0{\pi}^{+}{\pi}^{-}\right)}{\mathrm{\mathcal{B}}\left({B}^0\to {K}_{\mathrm{S}}^0{\pi}^{+}{\pi}^{-}\right)}=0.191\pm 0.027\left(\mathrm{stat}\right)\pm 0.031\left(\mathrm{syst}\right)\pm 0.011\left({f}_s/{f}_d\right),\hfill \ {}\frac{\mathrm{\mathcal{B}}\left({B}_s^0\to {K}_{\mathrm{S}}^0{K}^{\pm }{\pi}^{\mp}\right)}{\mathrm{\mathcal{B}}\left({B}^0\to {K}_{\mathrm{S}}^0{\pi}^{+}{\pi}^{-}\right)}=1.70\pm 0.07\left(\mathrm{stat}\right)\pm 0.11\left(\mathrm{syst}\right)\pm 0.10\left({f}_s/{f}_d\right),\hfill \ {}\frac{\mathrm{\mathcal{B}}\left({B}_s^0\to {K}_{\mathrm{S}}^0{K}^{+}{K}^{-}\right)}{\mathrm{\mathcal{B}}\left({B}^0\to {K}_{\mathrm{S}}^0{\pi}^{+}{\pi}^{-}\right)}\in \left[0.008-0.051\right]\kern0.5em \mathrm{at}\kern0.5em 90\%\kern0.5em \mathrm{confidence}\kern0.5em \mathrm{level},\hfill \end{array} $$ where fs/fd represents the ratio of hadronisation fractions of the Bs0 and B0 mesons.