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

Information

LHCb-PAPER-2020-002
CERN-EP-2020-027
arXiv:2003.04831 [PDF]

(Submitted on 10 Mar 2020)
Phys. Rev. Lett. 125 (2020) 011802
Inspire 1784890

Tools

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.

Figures and captions

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.	Fig1a.pdf [45 KiB] HiDef png [148 KiB] Thumbnail [136 KiB]
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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].	Fig2a.pdf [15 KiB] HiDef png [225 KiB] Thumbnail [157 KiB]
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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].	Fig3a.pdf [14 KiB] HiDef png [152 KiB] Thumbnail [121 KiB]
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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].	Fig4a.pdf [14 KiB] HiDef png [126 KiB] Thumbnail [115 KiB]
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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.	Fig5a.pdf [18 KiB] HiDef png [135 KiB] Thumbnail [126 KiB]
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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.	Fig6a.pdf [18 KiB] HiDef png [138 KiB] Thumbnail [126 KiB]
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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.	Fig7a.pdf [18 KiB] HiDef png [145 KiB] Thumbnail [133 KiB]
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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.	Fig8a.pdf [18 KiB] HiDef png [140 KiB] Thumbnail [128 KiB]
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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.	Fig9a.pdf [18 KiB] HiDef png [136 KiB] Thumbnail [129 KiB]
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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.	Fig10a.pdf [18 KiB] HiDef png [131 KiB] Thumbnail [121 KiB]
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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.	Fig11a.pdf [18 KiB] HiDef png [133 KiB] Thumbnail [125 KiB]
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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.	Fig12a.pdf [18 KiB] HiDef png [130 KiB] Thumbnail [121 KiB]
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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.	Fig13a.pdf [18 KiB] HiDef png [139 KiB] Thumbnail [129 KiB]
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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.	Fig14a.pdf [18 KiB] HiDef png [129 KiB] Thumbnail [121 KiB]
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Animated gif made out of all figures.	PAPER-2020-002.gif Thumbnail

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.	Table_1.pdf [52 KiB] HiDef png [53 KiB] Thumbnail [18 KiB] tex code
Results for the optimised observables $P_i^{(\prime)}$. The first uncertainties are statistical and the second systematic.	Table_2.pdf [58 KiB] HiDef png [51 KiB] Thumbnail [17 KiB] tex code
Summary of the different sources of systematic uncertainty on the angular observables.	Table_3.pdf [59 KiB] HiDef png [118 KiB] Thumbnail [53 KiB] tex code
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 $.	Table_4.pdf [51 KiB] HiDef png [55 KiB] Thumbnail [26 KiB] tex code
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 $.	Table_5.pdf [51 KiB] HiDef png [56 KiB] Thumbnail [26 KiB] tex code
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 $.	Table_6.pdf [51 KiB] HiDef png [54 KiB] Thumbnail [25 KiB] tex code
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 $.	Table_7.pdf [51 KiB] HiDef png [53 KiB] Thumbnail [25 KiB] tex code
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 $.	Table_8.pdf [51 KiB] HiDef png [55 KiB] Thumbnail [25 KiB] tex code
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 $.	Table_9.pdf [51 KiB] HiDef png [56 KiB] Thumbnail [26 KiB] tex code
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 $.	Table_10.pdf [51 KiB] HiDef png [57 KiB] Thumbnail [26 KiB] tex code
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 $.	Table_11.pdf [51 KiB] HiDef png [56 KiB] Thumbnail [25 KiB] tex code
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 $.	Table_12.pdf [51 KiB] HiDef png [53 KiB] Thumbnail [25 KiB] tex code
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 $.	Table_13.pdf [51 KiB] HiDef png [55 KiB] Thumbnail [25 KiB] tex code
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 $.	Table_14.pdf [57 KiB] HiDef png [56 KiB] Thumbnail [27 KiB] tex code
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 $.	Table_15.pdf [58 KiB] HiDef png [53 KiB] Thumbnail [25 KiB] tex code
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 $.	Table_16.pdf [58 KiB] HiDef png [55 KiB] Thumbnail [27 KiB] tex code
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 $.	Table_17.pdf [58 KiB] HiDef png [55 KiB] Thumbnail [27 KiB] tex code
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 $.	Table_18.pdf [58 KiB] HiDef png [54 KiB] Thumbnail [26 KiB] tex code
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 $.	Table_19.pdf [58 KiB] HiDef png [53 KiB] Thumbnail [24 KiB] tex code
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 $.	Table_20.pdf [58 KiB] HiDef png [57 KiB] Thumbnail [27 KiB] tex code
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 $.	Table_21.pdf [58 KiB] HiDef png [54 KiB] Thumbnail [25 KiB] tex code
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 $.	Table_22.pdf [58 KiB] HiDef png [54 KiB] Thumbnail [25 KiB] tex code
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 $.	Table_23.pdf [58 KiB] HiDef png [53 KiB] Thumbnail [25 KiB] tex code

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	Fig1a-supp.pdf [44 KiB] HiDef png [124 KiB] Thumbnail [113 KiB] *C file
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