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 $B^{0}_{s} \rightarrow K^{*}(892)^{0}\overline{ K}{}^{0}, \overline{ K}{}^{*}(892)^{0}K^{0}$ are in agreement with, and more precise than, previous results. The decays $B^{0}_{s} \rightarrow K^*_0(1430)^{\pm} K^{\mp}$ and $B^{0}_{s} \rightarrow K^{*}_{0}(1430)^{0}\overline{ K}{}^{0}, \overline{ K}{}^{*}_{0}(1430)^{0}K^{0}$ are observed for the first time, each with significance over 10 standard deviations.
Feynman diagrams for (top left) external tree, (top right) internal penguin and (bottom left) electroweak penguin contributions for $ B ^0_ s \rightarrow K ^+ K ^{*-} ( K ^{*+} K ^- )$ decays; and (bottom right) internal penguin amplitude for the $ B ^0_ s \rightarrow K ^{*0} \overline{ K }{} {}^0 ( K ^0 \overline{ K }{} {}^{*0} )$ decay mode. The electroweak penguin diagram for the $ B ^0_ s \rightarrow K ^{*0} \overline{ K }{} {}^0 ( K ^0 \overline{ K }{} {}^{*0} )$ channel is not shown; neither are diagrams corresponding to annihilation amplitudes. In each case, the first set of final-state particles (black) leads to the $ K ^0_{\mathrm{ \scriptscriptstyle S}} K ^+ \pi ^- $ final state, while the second set (blue) leads to $ K ^0_{\mathrm{ \scriptscriptstyle S}} K ^- \pi ^+ $. |
fig1a.pdf [9 KiB] HiDef png [186 KiB] Thumbnail [120 KiB] *.C file |
|
fig1b.pdf [10 KiB] HiDef png [250 KiB] Thumbnail [163 KiB] *.C file |
||
fig1c.pdf [10 KiB] HiDef png [246 KiB] Thumbnail [161 KiB] *.C file |
||
fig1d.pdf [10 KiB] HiDef png [257 KiB] Thumbnail [165 KiB] *.C file |
||
Invariant-mass distribution of candidates in data for the (left) $ K ^0_{\mathrm{ \scriptscriptstyle S}} K ^+ \pi ^- $ and (right) $ K ^0_{\mathrm{ \scriptscriptstyle S}} K ^- \pi ^+ $ final states. Components are detailed in the legend. |
fig2a.pdf [27 KiB] HiDef png [277 KiB] Thumbnail [216 KiB] *.C file |
|
fig2b.pdf [27 KiB] HiDef png [278 KiB] Thumbnail [217 KiB] *.C file |
||
Background-subtracted and efficiency-corrected Dalitz plot distributions for (left) $ K ^0_{\mathrm{ \scriptscriptstyle S}} K ^+ \pi ^- $ and (right) $ K ^0_{\mathrm{ \scriptscriptstyle S}} K ^- \pi ^+ $ final states. Boxes with a cross indicate negative values. |
fig3a.pdf [27 KiB] HiDef png [278 KiB] Thumbnail [215 KiB] *.C file |
|
fig3b.pdf [27 KiB] HiDef png [274 KiB] Thumbnail [211 KiB] *.C file |
||
Invariant-mass distributions for (top) $m( K ^\pm \pi ^\mp )$, (middle) $m( K ^0_{\mathrm{ \scriptscriptstyle S}} \pi ^\mp )$ and (bottom) $m( K ^0_{\mathrm{ \scriptscriptstyle S}} K ^\pm )$, for (left) the $ K ^0_{\mathrm{ \scriptscriptstyle S}} K ^+ \pi ^- $ and (right) the $ K ^0_{\mathrm{ \scriptscriptstyle S}} K ^- \pi ^+ $ final states. The data are shown with black points, while the full fit result is shown as a blue solid line with individual signal and background components as detailed in the legend. |
fig4a.pdf [19 KiB] HiDef png [353 KiB] Thumbnail [247 KiB] *.C file |
|
fig4b.pdf [21 KiB] HiDef png [427 KiB] Thumbnail [319 KiB] *.C file |
||
fig4c.pdf [20 KiB] HiDef png [338 KiB] Thumbnail [248 KiB] *.C file |
||
fig4d.pdf [20 KiB] HiDef png [338 KiB] Thumbnail [248 KiB] *.C file |
||
fig4e.pdf [20 KiB] HiDef png [299 KiB] Thumbnail [222 KiB] *.C file |
||
fig4f.pdf [20 KiB] HiDef png [299 KiB] Thumbnail [222 KiB] *.C file |
||
Animated gif made out of all figures. |
PAPER-2018-045.gif Thumbnail |
Yields obtained from the simultaneous fit to the invariant-mass distribution of $ B ^0_ s \rightarrow K ^0_{\mathrm{ \scriptscriptstyle S}} K ^\pm \pi ^\mp $ candidates in data for each fit category: signal, combinatorial background and cross-feed from misidentified $ B ^0_{( s )} \rightarrow K ^0_{\mathrm{ \scriptscriptstyle S}} h ^+ h ^{\prime-} $ decays. The uncertainties given on the yields in the full range are statistical only. Yields in the signal region $\pm2.5\sigma$ around the $ B ^0_ s $ peak are also given; the determination of uncertainties on these values is described in Sec. 7. |
Table_1.pdf [78 KiB] HiDef png [113 KiB] Thumbnail [57 KiB] tex code |
|
Results of the fit with the baseline model to the $ K ^0_{\mathrm{ \scriptscriptstyle S}} K ^+ \pi ^- $ and $ K ^0_{\mathrm{ \scriptscriptstyle S}} K ^- \pi ^+ $ Dalitz plots. The fit fractions associated with each resonant component are given with statistical uncertainties only. The sums of fit fractions for both $ K ^0_{\mathrm{ \scriptscriptstyle S}} K ^+ \pi ^- $ and $ K ^0_{\mathrm{ \scriptscriptstyle S}} K ^- \pi ^+ $ final states are 102%, corresponding to low net interference effects. |
Table_2.pdf [67 KiB] HiDef png [83 KiB] Thumbnail [40 KiB] tex code |
|
Systematic uncertainties on the fit fractions, quoted as absolute uncertainties in percent. The columns give the contributions from each of the different sources described in the text. |
Table_3.pdf [58 KiB] HiDef png [88 KiB] Thumbnail [40 KiB] tex code |
Created on 23 March 2024.