Examples of $b\rightarrow s$ loop diagrams contributing to the decay $ B ^0_ s \rightarrow \phi\mu ^+\mu ^- $ in the SM.

Two-dimensional distribution of $ q^2$ versus the invariant mass of the $ K ^+ K ^- \mu ^+\mu ^- $ system. The signal decay $ B ^0_ s \rightarrow \phi\mu ^+\mu ^- $ is clearly visible within the $\pm50 {\mathrm{ Me V /}c^2} $ interval around the $ B ^0_ s $ mass, indicated by the dashed vertical lines. The horizontal lines denote the charmonium regions, where the tree-level decays $ B ^0_ s \rightarrow { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} \phi $ and $ B ^0_ s \rightarrow \psi {(2S)} \phi $ dominate.

Invariant mass distribution for (left) $ B ^0_ s \rightarrow \phi\mu ^+\mu ^- $ signal decays, integrated over the $q^2$ bins used, and for (right) the control mode $ B ^0_ s \rightarrow { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} \phi $ in the $ K ^+ K ^- \mu ^+\mu ^- $ final state. The signal component is given by the solid blue area, the background component by the shaded red area.

Differential branching fraction of the decay $ B ^0_ s \rightarrow \phi\mu ^+\mu ^- $, overlaid with SM predictions [4,5] indicated by blue shaded boxes. The vetoes excluding the charmonium resonances are indicated by grey areas.

$ C P$ -averaged angular observables $F_{\rm L}$ and $S_{3,4,7}$ and $ C P$ asymmetries $A_{5,6,8,9}$ shown by black dots, overlaid with SM predictions [4,5], where available, indicated as blue shaded boxes. The vetoes excluding the charmonium resonances are indicated by grey areas.

Invariant mass distributions for $ B ^0_ s \rightarrow \phi\mu ^+\mu ^- $ signal decays in bins of $q^2$. The signal component is shown by the solid blue area, the background component by the shaded red area.

One-dimensional projections of the fit to the angles $\cos\theta_l$, $\cos\theta_K$, $\Phi$ in bins of $q^2$. The signal component is shown by the solid blue area, the background component by the shaded red area.

One-dimensional projections of the fit to the angles $\cos\theta_l$, $\cos\theta_K$, $\Phi$ in bins of $q^2$. The signal component is shown by the solid blue area, the background component by the shaded red area.

Confidence level obtained from a likelihood scan (shaded blue) and from the Feldman-Cousins method (solid black). The shaded blue and solid red vertical lines indicate the corresponding $68\%$ CL intervals obtained from the likelihood scan and the Feldman-Cousins method, respectively.

Confidence level obtained from a likelihood scan (shaded blue) and from a Feldman-Cousins method (solid black). The shaded blue and solid red vertical lines indicate the corresponding $68\%$ CL intervals obtained from the likelihood scan and the Feldman-Cousins method, respectively.

Confidence level obtained from a likelihood scan (shaded blue) and from a Feldman-Cousins method (solid black). The shaded blue and solid red vertical lines indicate the corresponding $68\%$ CL intervals obtained from the likelihood scan and the Feldman-Cousins method, respectively.

Confidence level obtained from a likelihood scan (shaded blue) and from a Feldman-Cousins method (solid black). The shaded blue and solid red vertical lines indicate the corresponding $68\%$ CL intervals obtained from the likelihood scan and the Feldman-Cousins method, respectively.

Confidence level obtained from a likelihood scan (shaded blue) and from a Feldman-Cousins method (solid black). The shaded blue and solid red vertical lines indicate the corresponding $68\%$ CL intervals obtained from the likelihood scan and the Feldman-Cousins method, respectively.

Confidence level obtained from a likelihood scan (shaded blue) and from a Feldman-Cousins method (solid black). The shaded blue and solid red vertical lines indicate the corresponding $68\%$ CL intervals obtained from the likelihood scan and the Feldman-Cousins method, respectively.

Confidence level obtained from a likelihood scan (shaded blue) and from a Feldman-Cousins method (solid black). The shaded blue and solid red vertical lines indicate the corresponding $68\%$ CL intervals obtained from the likelihood scan and the Feldman-Cousins method, respectively.

Confidence level obtained from a likelihood scan (shaded blue) and from a Feldman-Cousins method (solid black). The shaded blue and solid red vertical lines indicate the corresponding $68\%$ CL intervals obtained from the likelihood scan and the Feldman-Cousins method, respectively.

Animated gif made out of all figures.

The signal yields for $ B ^0_ s \rightarrow \phi\mu ^+\mu ^- $ decays, as well as the differential branching fraction relative to the normalisation mode and the absolute differential branching fraction, in bins of $q^2$. The given uncertainties are (from left to right) statistical, systematic, and the uncertainty on the branching fraction of the normalisation mode.

Systematic uncertainties $[10^{-5}\mathrm{ Ge V} ^{-2}c^{4}]$ on the branching fraction ratio ${\rm d}\cal B ( B ^0_ s \rightarrow \phi\mu ^+\mu ^- )/\cal B ( B ^0_ s \rightarrow { J \mskip -3mu/\mskip -2mu\psi \mskip 2mu} \phi){\rm d} q^2 $ per bin of $ q^2$ $[ {\mathrm{ Ge V^2 /}c^4} ]$.

(Top) $ C P$ -averaged angular observables $F_{\rm L}$ and $S_{3,4,7}$ and (bottom) $ C P$ asymmetries $A_{5,6,8,9}$ obtained from the unbinned maximum likelihood fit, where the first uncertainty is statistical and the second is systematic.

Correlation matrices for the $q^2$ bins $0.1<q^2<2.0 {\mathrm{ Ge V^2 /}c^4} $, $2.0<q^2<5.0 {\mathrm{ Ge V^2 /}c^4} $ and $5.0<q^2<8.0 {\mathrm{ Ge V^2 /}c^4} $.

Correlation matrices for the $q^2$ bins $11.0<q^2<12.5 {\mathrm{ Ge V^2 /}c^4} $, $15.0<q^2<17.0 {\mathrm{ Ge V^2 /}c^4} $ and $17.0<q^2<19.0 {\mathrm{ Ge V^2 /}c^4} $.

Correlation matrices for the $q^2$ bins $1.0<q^2<6.0 {\mathrm{ Ge V^2 /}c^4} $ and $15.0<q^2<19.0 {\mathrm{ Ge V^2 /}c^4} $.

Supplementary material full pdf

This ZIP file contains supplementary material for the publication of LHCb-PAPER-2015-023. The files are: supplementary.pdf : An overview of the extra figures *.pdf, *.png, *.eps, *.C : The figures in various formats