| Summary: | The first untagged decay-time-integrated amplitude analysis of $B^{0}_{s}
\rightarrow K^{0}_{\textrm{S}} K^{\pm}\pi^{\mp}$ decays is performed using a
sample corresponding to $3.0\,$fb$^{-1}$ of $pp$ collision data recorded with
the LHCb detector during 2011 and 2012. The data are described with an
amplitude model that contains contributions from the intermediate resonances
$K^{*}(892)^{0,+}$, $K^*_2(1430)^{0,+}$ and $K^*_0(1430)^{0,+}$, and their
charge conjugates. Measurements of the branching fractions of the decay modes
$B^{0}_{s} \rightarrow K^{*}(892)^{\pm}K^{\mp}$ and $B^{0}_{s} \rightarrow
K^{*}(892)^{0}\kern 0.2em\overline{\kern -0.2em K}{}^{0}, \kern
0.2em\overline{\kern -0.2em K}{}^{*}(892)^{0}K^{0}$ are in agreement with, and
more precise than, previous results. The decays $B^{0}_{s} \rightarrow
K^*_0(1430)^{\pm} K^{\mp}$ and $B^{0}_{s} \rightarrow K^{*}_{0}(1430)^{0}\kern
0.2em\overline{\kern -0.2em K}{}^{0}, \kern 0.2em\overline{\kern -0.2em
K}{}^{*}_{0}(1430)^{0}K^{0}$ are observed for the first time, each with
significance over 10 standard deviations.
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