cern.ch

Branching Fraction Measurements of the Rare $B^0_s\rightarrow\phi\mu^+\mu^-$ and $B^0_s\rightarrow f_2^\prime(1525)\mu^+\mu^-$- Decays

[to restricted-access page]

Information

Tools

Abstract

The branching fraction of the rare $B^0_s\rightarrow\phi\mu^+\mu^-$ decay is measured using data collected by the LHCb experiment at center-of-mass energies of $7$, $8$ and $13 \rm{TeV}$, corresponding to integrated luminosities of $1$, $2$ and $6 {\rm fb}^{-1}$, respectively. The branching fraction is reported in intervals of $q^2$, the square of the dimuon invariant mass. In the $q^2$ region between $1.1$ and $6.0 {\rm Ge V}^2 /c^4$, the measurement is found to lie $3.6$ standard deviations below a Standard Model prediction based on a combination of Light Cone Sum Rule and Lattice QCD calculations. In addition, the first observation of the rare $B^0_s\rightarrow f_2^\prime(1525)\mu^+\mu^-$ decay is reported with a statistical significance of nine standard deviations and its branching fraction is determined.

Figures and captions

Reconstructed invariant mass of the $ K ^+ K ^- \mu ^+ \mu ^- $ system for (left) the $ B ^0_ s \rightarrow { J \mskip -3mu/\mskip -2mu\psi } \phi $ normalization mode and (right) the $ B ^0_ s \rightarrow \phi\mu ^+\mu ^- $ signal candidates, integrated over $ q^2$ and overlaid with the fit projections.

 Fig1a.pdf [34 KiB]
HiDef png [233 KiB]
Thumbnail [188 KiB]
*.C file
Fig1a.pdf
Fig1b.pdf [20 KiB]
HiDef png [247 KiB]
Thumbnail [206 KiB]
*.C file
Fig1b.pdf

Differential branching fraction ${\rm d}{\mathcal B}( B ^0_ s \rightarrow \phi\mu ^+\mu ^- )/{\rm d}q^2$, overlaid with SM predictions using Light Cone Sum Rules [34,36,39] at low $ q^2$ and Lattice calculations [37,38] at high $ q^2$ . The results from the LHCb 3 $\text{ fb} ^{-1}$ analysis [1,31] are shown with gray markers.

 Fig2.pdf [16 KiB]
HiDef png [220 KiB]
Thumbnail [172 KiB]
*.C file
Fig2.pdf

Reconstructed invariant mass of (left) the $ K ^+ K ^- \mu ^+ \mu ^- $ system and (right) the $ K ^+ K ^- $ system for $ B ^0_ s \rightarrow f_2^\prime\mu ^+\mu ^- $ candidates, overlaid with the fit projections. The $m( K ^+ K ^- )$ distribution is shown in the $ B ^0_ s $ signal region $\pm 50\text{ Me V /}c^2 $ around the known $ B ^0_ s $ mass.

 Fig3a.pdf [23 KiB]
HiDef png [324 KiB]
Thumbnail [288 KiB]
*.C file
Fig3a.pdf
Fig3b.pdf [21 KiB]
HiDef png [289 KiB]
Thumbnail [246 KiB]
*.C file
Fig3b.pdf

Invariant mass of the $ K ^+ K ^- \mu ^+ \mu ^- $ system versus $ q^2$ for selected (top) $ B ^0_ s \rightarrow \phi\mu ^+\mu ^- $ and (bottom) $ B ^0_ s \rightarrow f_2^\prime\mu ^+\mu ^- $ candidates across all data-taking periods.

 Fig4a.pdf [53 KiB]
HiDef png [959 KiB]
Thumbnail [597 KiB]
*.C file
Fig4a.pdf
Fig4b.pdf [56 KiB]
HiDef png [1009 KiB]
Thumbnail [594 KiB]
*.C file
Fig4b.pdf

Reconstructed invariant mass of the $ K ^+ K ^- \mu ^+\mu ^- $ system for (left) $ B ^0_ s \rightarrow { J \mskip -3mu/\mskip -2mu\psi } \phi $ and (right) $ B ^0_ s \rightarrow \phi\mu ^+\mu ^- $ candidates, integrated over $ q^2$ , for the (top) 2011--2012, (middle) 2015--2016, and (bottom) 2017--2018 data-taking periods. The data are overlaid with the fit projections.

 Fig5a.pdf [34 KiB]
HiDef png [235 KiB]
Thumbnail [192 KiB]
*.C file
Fig5a.pdf
Fig5b.pdf [20 KiB]
HiDef png [250 KiB]
Thumbnail [209 KiB]
*.C file
Fig5b.pdf
Fig5c.pdf [33 KiB]
HiDef png [208 KiB]
Thumbnail [166 KiB]
*.C file
Fig5c.pdf
Fig5d.pdf [19 KiB]
HiDef png [224 KiB]
Thumbnail [180 KiB]
*.C file
Fig5d.pdf
Fig5e.pdf [33 KiB]
HiDef png [210 KiB]
Thumbnail [165 KiB]
*.C file
Fig5e.pdf
Fig5f.pdf [20 KiB]
HiDef png [216 KiB]
Thumbnail [179 KiB]
*.C file
Fig5f.pdf

Reconstructed invariant mass of (left) the $ K ^+ K ^- \mu ^+ \mu ^- $ system and (right) the $ K ^+ K ^- $ system for $ B ^0_ s \rightarrow f_2^\prime\mu ^+\mu ^- $ candidates for the (top) 2011--2012, (middle) 2015--2016, and (bottom) 2017--2018 data-taking periods. Distributions are overlaid with the fit projections. The $ K ^+ K ^- $ distribution is shown in the $ B ^0_ s $ signal region $\pm50\text{ Me V} $ around the known $ B ^0_ s $ mass.

 Fig6a.pdf [22 KiB]
HiDef png [311 KiB]
Thumbnail [275 KiB]
*.C file
Fig6a.pdf
Fig6b.pdf [20 KiB]
HiDef png [275 KiB]
Thumbnail [226 KiB]
*.C file
Fig6b.pdf
Fig6c.pdf [21 KiB]
HiDef png [241 KiB]
Thumbnail [204 KiB]
*.C file
Fig6c.pdf
Fig6d.pdf [20 KiB]
HiDef png [273 KiB]
Thumbnail [225 KiB]
*.C file
Fig6d.pdf
Fig6e.pdf [21 KiB]
HiDef png [249 KiB]
Thumbnail [205 KiB]
*.C file
Fig6e.pdf
Fig6f.pdf [20 KiB]
HiDef png [282 KiB]
Thumbnail [235 KiB]
*.C file
Fig6f.pdf

Animated gif made out of all figures.

 PAPER-2021-014.gif
Thumbnail
thumbnail_PAPER-2021-014.gif

Tables and captions

Differential ${\rm d}{\mathcal B}( B ^0_ s \rightarrow \phi\mu ^+\mu ^- )/{\rm d} q^2 $ branching fraction, both relative to the normalization mode and absolute, in intervals of $ q^2$ . The uncertainties are, in order, statistical, systematic, and due to the uncertainty on the branching fraction of the normalization mode.

 Table_1.pdf [69 KiB]
HiDef png [105 KiB]
Thumbnail [56 KiB]
tex code 		Table_1.pdf

Systematic uncertainties on the differential branching fraction ${\rm d}{\mathcal B}( B ^0_ s \rightarrow \phi\mu ^+\mu ^- )/{\rm d}q^2$ and on the total branching fraction ${\mathcal B}( B ^0_ s \rightarrow f_2^\prime\mu ^+\mu ^- )$. Ranges indicate the variation across the $ q^2$ intervals. The uncertainty from the branching fraction of the normalization mode, ${\mathcal B}( B ^0_ s \rightarrow { J \mskip -3mu/\mskip -2mu\psi } \phi) $, is quoted separately.

 Table_2.pdf [82 KiB]
HiDef png [77 KiB]
Thumbnail [33 KiB]
tex code 		Table_2.pdf

Supplementary Material [file]

Supplementary material full pdf

 supple[..].pdf [821 KiB]
 supplementary.pdf

This ZIP file contains supplemetary material for the publication LHCb-PAPER-2021-014. The files are: supplementary.pdf : An overview of the extra figures supplementary.tex : The LaTex source file of the above *.pdf, *.png, *.eps, *.C : The figures in variuous formats

Fig10a.pdf [20 KiB]
HiDef png [257 KiB]
Thumbnail [218 KiB]
*C file
Fig10a.pdf
Fig10b.pdf [20 KiB]
HiDef png [239 KiB]
Thumbnail [207 KiB]
*C file
Fig10b.pdf
Fig10c.pdf [20 KiB]
HiDef png [244 KiB]
Thumbnail [214 KiB]
*C file
Fig10c.pdf
Fig10d.pdf [20 KiB]
HiDef png [253 KiB]
Thumbnail [212 KiB]
*C file
Fig10d.pdf
Fig10e.pdf [20 KiB]
HiDef png [245 KiB]
Thumbnail [210 KiB]
*C file
Fig10e.pdf
Fig10f.pdf [20 KiB]
HiDef png [249 KiB]
Thumbnail [213 KiB]
*C file
Fig10f.pdf
Fig10g.pdf [20 KiB]
HiDef png [251 KiB]
Thumbnail [216 KiB]
*C file
Fig10g.pdf
Fig10h.pdf [19 KiB]
HiDef png [234 KiB]
Thumbnail [191 KiB]
*C file
Fig10h.pdf
Fig11a.pdf [20 KiB]
HiDef png [269 KiB]
Thumbnail [236 KiB]
*C file
Fig11a.pdf
Fig11b.pdf [19 KiB]
HiDef png [234 KiB]
Thumbnail [202 KiB]
*C file
Fig11b.pdf
Fig11c.pdf [20 KiB]
HiDef png [242 KiB]
Thumbnail [207 KiB]
*C file
Fig11c.pdf
Fig11d.pdf [20 KiB]
HiDef png [240 KiB]
Thumbnail [207 KiB]
*C file
Fig11d.pdf
Fig11e.pdf [20 KiB]
HiDef png [249 KiB]
Thumbnail [213 KiB]
*C file
Fig11e.pdf
Fig11f.pdf [20 KiB]
HiDef png [243 KiB]
Thumbnail [208 KiB]
*C file
Fig11f.pdf
Fig11g.pdf [20 KiB]
HiDef png [278 KiB]
Thumbnail [237 KiB]
*C file
Fig11g.pdf
Fig11h.pdf [20 KiB]
HiDef png [244 KiB]
Thumbnail [202 KiB]
*C file
Fig11h.pdf
Fig12.pdf [15 KiB]
HiDef png [128 KiB]
Thumbnail [75 KiB]
*C file
Fig12.pdf
Fig7a.pdf [20 KiB]
HiDef png [250 KiB]
Thumbnail [223 KiB]
*C file
Fig7a.pdf
Fig7b.pdf [18 KiB]
HiDef png [214 KiB]
Thumbnail [178 KiB]
*C file
Fig7b.pdf
Fig7c.pdf [19 KiB]
HiDef png [229 KiB]
Thumbnail [190 KiB]
*C file
Fig7c.pdf
Fig7d.pdf [19 KiB]
HiDef png [235 KiB]
Thumbnail [201 KiB]
*C file
Fig7d.pdf
Fig7e.pdf [20 KiB]
HiDef png [238 KiB]
Thumbnail [208 KiB]
*C file
Fig7e.pdf
Fig7f.pdf [20 KiB]
HiDef png [242 KiB]
Thumbnail [209 KiB]
*C file
Fig7f.pdf
Fig7g.pdf [20 KiB]
HiDef png [245 KiB]
Thumbnail [214 KiB]
*C file
Fig7g.pdf
Fig7h.pdf [19 KiB]
HiDef png [228 KiB]
Thumbnail [185 KiB]
*C file
Fig7h.pdf
Fig8a.pdf [19 KiB]
HiDef png [213 KiB]
Thumbnail [176 KiB]
*C file
Fig8a.pdf
Fig8b.pdf [19 KiB]
HiDef png [221 KiB]
Thumbnail [189 KiB]
*C file
Fig8b.pdf
Fig8c.pdf [19 KiB]
HiDef png [225 KiB]
Thumbnail [191 KiB]
*C file
Fig8c.pdf
Fig8d.pdf [19 KiB]
HiDef png [234 KiB]
Thumbnail [198 KiB]
*C file
Fig8d.pdf
Fig8e.pdf [19 KiB]
HiDef png [237 KiB]
Thumbnail [199 KiB]
*C file
Fig8e.pdf
Fig8f.pdf [19 KiB]
HiDef png [227 KiB]
Thumbnail [193 KiB]
*C file
Fig8f.pdf
Fig8g.pdf [19 KiB]
HiDef png [233 KiB]
Thumbnail [196 KiB]
*C file
Fig8g.pdf
Fig8h.pdf [19 KiB]
HiDef png [226 KiB]
Thumbnail [187 KiB]
*C file
Fig8h.pdf
Fig9a.pdf [19 KiB]
HiDef png [218 KiB]
Thumbnail [186 KiB]
*C file
Fig9a.pdf
Fig9b.pdf [19 KiB]
HiDef png [220 KiB]
Thumbnail [190 KiB]
*C file
Fig9b.pdf
Fig9c.pdf [19 KiB]
HiDef png [228 KiB]
Thumbnail [193 KiB]
*C file
Fig9c.pdf
Fig9d.pdf [20 KiB]
HiDef png [252 KiB]
Thumbnail [213 KiB]
*C file
Fig9d.pdf
Fig9e.pdf [19 KiB]
HiDef png [232 KiB]
Thumbnail [195 KiB]
*C file
Fig9e.pdf
Fig9f.pdf [19 KiB]
HiDef png [229 KiB]
Thumbnail [193 KiB]
*C file
Fig9f.pdf
Fig9g.pdf [19 KiB]
HiDef png [230 KiB]
Thumbnail [196 KiB]
*C file
Fig9g.pdf
Fig9h.pdf [19 KiB]
HiDef png [229 KiB]
Thumbnail [197 KiB]
*C file
Fig9h.pdf

Created on 27 April 2024.