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Measurement of $C P$-averaged observables in the $B^{0}\rightarrow K^{*0}\mu^{+}\mu^{-}$ decay

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Abstract

An angular analysis of the $B^{0}\rightarrow K^{*0}(\to K^{+}\pi^{-})\mu^{+}\mu^{-}$ decay is presented using a data set corresponding to an integrated luminosity of 4.7 fb$^{-1}$ of $pp$ collision data collected with the LHCb experiment. The full set of $C P$-averaged observables are determined in bins of the invariant mass squared of the dimuon system. Contamination from decays with the $K^{+}\pi^{-}$ system in an S-wave configuration is taken into account. The tension seen between the previous LHCb results and the Standard Model predictions persists with the new data. The precise value of the significance of this tension depends on the choice of theory nuisance parameters.

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The $ K ^+ \pi ^- \mu ^+\mu ^- $ mass distribution of candidates with $0.1< q^2 <19.0\text{ Ge V} ^{2}/c^{4}$, excluding the $\phi(1020)$ and charmonium regions, for the (left) Run 1 data and (right) 2016 data. The background is indicated by the shaded region.

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Results for the $ C P$ -averaged angular observables $F_{\rm L}$, $A_{\rm FB}$, $S_{5}$ and $P_{5}'$ in bins of $ q^2$ . The data are compared to SM predictions based on the prescription of Refs. [43,44], with the exception of the $P_5'$ distribution, which is compared to SM predictions based on Refs. [72,73].

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Results for the $ C P$ -averaged angular observables $S_3$, $S_4$ and $S_7$--$S_9$ in bins of $ q^2$ . The data are compared to SM predictions based on the prescription of Refs. [43,44].

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Results for the optimised angular observables $P_{1}$--$P_{3}$, $P_{4}'$, $P_{6}'$ and $P_{8}'$ in bins of $ q^2$ . The data are compared to SM predictions based on Refs. [72,73].

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Projections of the fitted probability density function on the decay angles, $ m( K ^+ \pi ^- )$ and $ m( K ^+ \pi ^- \mu ^+\mu ^- )$ for the bin $0.10<q^2<0.98\text{ Ge V} ^2 /c^4 $. The blue shaded region indicates background.

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Projections of the fitted probability density function on the decay angles, $ m( K ^+ \pi ^- )$ and $ m( K ^+ \pi ^- \mu ^+\mu ^- )$ for the bin $1.1<q^2<2.5\text{ Ge V} ^2 /c^4 $. The blue shaded region indicates background.

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Projections of the fitted probability density function on the decay angles, $ m( K ^+ \pi ^- )$ and $ m( K ^+ \pi ^- \mu ^+\mu ^- )$ for the bin $2.5<q^2<4.0\text{ Ge V} ^2 /c^4 $. The blue shaded region indicates background.

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Projections of the fitted probability density function on the decay angles, $ m( K ^+ \pi ^- )$ and $ m( K ^+ \pi ^- \mu ^+\mu ^- )$ for the bin $4.0<q^2<6.0 \text{ Ge V} ^2 /c^4 $. The blue shaded region indicates background.

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Projections of the fitted probability density function on the decay angles, $ m( K ^+ \pi ^- )$ and $ m( K ^+ \pi ^- \mu ^+\mu ^- )$ for the bin $6.0<q^2<8.0\text{ Ge V} ^2 /c^4 $. The blue shaded region indicates background.

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Projections of the fitted probability density function on the decay angles, $ m( K ^+ \pi ^- )$ and $ m( K ^+ \pi ^- \mu ^+\mu ^- )$ for the bin $11.0<q^2<12.5\text{ Ge V} ^2 /c^4 $. The blue shaded region indicates background.

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Projections of the fitted probability density function on the decay angles, $ m( K ^+ \pi ^- )$ and $ m( K ^+ \pi ^- \mu ^+\mu ^- )$ for the bin $15.0<q^2<17.0\text{ Ge V} ^2 /c^4 $. The blue shaded region indicates background.

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Projections of the fitted probability density function on the decay angles, $ m( K ^+ \pi ^- )$ and $ m( K ^+ \pi ^- \mu ^+\mu ^- )$ for the bin $17.0<q^2<19.0\text{ Ge V} ^2 /c^4 $. The blue shaded region indicates background.

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Projections of the fitted probability density function on the decay angles, $ m( K ^+ \pi ^- )$ and $ m( K ^+ \pi ^- \mu ^+\mu ^- )$ for the bin $1.1<q^2<6.0\text{ Ge V} ^2 /c^4 $. The blue shaded region indicates background.

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Projections of the fitted probability density function on the decay angles, $ m( K ^+ \pi ^- )$ and $ m( K ^+ \pi ^- \mu ^+\mu ^- )$ for the bin $15.0<q^2<19.0\text{ Ge V} ^2 /c^4 $. The blue shaded region indicates background.

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Tables and captions

Results for the $ C P$ -averaged observables $F_{\rm L}$, $A_{\rm FB}$ and $S_3$--$S_9$. The first uncertainties are statistical and the second systematic.

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Results for the optimised observables $P_i^{(\prime)}$. The first uncertainties are statistical and the second systematic.

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Summary of the different sources of systematic uncertainty on the angular observables.

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Correlation matrix for the $ C P$ -averaged observables from the maximum-likelihood fit in the bin $0.10<q^2<0.98\text{ Ge V} ^2 /c^4 $.

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Correlation matrix for the $ C P$ -averaged observables from the maximum-likelihood fit in the bin $1.1<q^2<2.5\text{ Ge V} ^2 /c^4 $.

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Correlation matrix for the $ C P$ -averaged observables from the maximum-likelihood fit in the bin $2.5<q^2<4.0\text{ Ge V} ^2 /c^4 $.

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Correlation matrix for the $ C P$ -averaged observables from the maximum-likelihood fit in the bin $4.0 <q^2< 6.0\text{ Ge V} ^2 /c^4 $.

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Correlation matrix for the $ C P$ -averaged observables from the maximum-likelihood fit in the bin $6.0<q^2<8.0\text{ Ge V} ^2 /c^4 $.

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Correlation matrix for the $ C P$ -averaged observables from the maximum-likelihood fit in the bin $11.0 <q^2< 12.5 \text{ Ge V} ^2 /c^4 $.

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Correlation matrix for the $ C P$ -averaged observables from the maximum-likelihood fit in the bin $15.0 <q^2< 17.0 \text{ Ge V} ^2 /c^4 $.

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Correlation matrix for the $ C P$ -averaged observables from the maximum-likelihood fit in the bin $17.0 <q^2< 19.0\text{ Ge V} ^2 /c^4 $.

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Correlation matrix for the $ C P$ -averaged observables from the maximum-likelihood fit in the bin $1.1 <q^2< 6.0\text{ Ge V} ^2 /c^4 $.

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Correlation matrix for the $ C P$ -averaged observables from the maximum-likelihood fit in the bin $15.0 <q^2< 19.0\text{ Ge V} ^2 /c^4 $.

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Correlation matrix for the optimised angular observables from the maximum-likelihood fit in the bin $0.10<q^2<0.98 \text{ Ge V} ^2 /c^4 $.

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Correlation matrix for the optimised angular observables from the maximum-likelihood fit in the bin $1.1<q^2<2.5 \text{ Ge V} ^2 /c^4 $.

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Correlation matrix for the optimised angular observables from the maximum-likelihood fit in the bin $2.5<q^2<4.0 \text{ Ge V} ^2 /c^4 $.

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Correlation matrix for the optimised angular observables from the maximum-likelihood fit in the bin $4.0 <q^2< 6.0 \text{ Ge V} ^2 /c^4 $.

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Correlation matrix for the optimised angular observables from the maximum-likelihood fit in the bin $6.0 <q^2< 8.0 \text{ Ge V} ^2 /c^4 $.

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Correlation matrix for the optimised angular observables from the maximum-likelihood fit in the bin $11.0 <q^2< 12.5 \text{ Ge V} ^2 /c^4 $.

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Correlation matrix for the optimised angular observables from the maximum-likelihood fit in the bin $15.0 <q^2< 17.0 \text{ Ge V} ^2 /c^4 $.

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Correlation matrix for the optimised angular observables from the maximum-likelihood fit in the bin $17.0 <q^2< 19.0 \text{ Ge V} ^2 /c^4 $.

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Correlation matrix for the optimised angular observables from the maximum-likelihood fit in the bin $1.1 <q^2< 6.0 \text{ Ge V} ^2 /c^4 $.

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Correlation matrix for the optimised angular observables from the maximum-likelihood fit in the bin $15.0 <q^2< 19.0 \text{ Ge V} ^2 /c^4 $.

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Supplementary Material [file]

This ZIP file contains supplementary material for the publication LHCb-PAPER-2020-002. The files are: Supplementary.pdf : An overview of the extra figures *.pdf, *.png, *.eps *.C : The figures in various formats flavio.zip, which contains: - measurements.yml: File that contains the data to which one fits with flavio - contour_plot_simultaneous_fit.py: Python script to plot figure 5 - wilson_scans.py: Python script to plot figures 6 and 7

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Created on 27 February 2021.