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Amplitude analysis of $B^\pm \to \pi^\pm K^+ K^-$ decays

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Abstract

The first amplitude analysis of the $B^\pm \to \pi^\pm K^+ K^-$ decay is reported based on a data sample corresponding to an integrated luminosity of 3.0 fb$^{-1}$ of $pp$ collisions recorded in 2011 and 2012 with the LHCb detector. The data is found to be best described by a coherent sum of five resonant structures plus a nonresonant component and a contribution from $\pi\pi \leftrightarrow KK$ $S$-wave rescattering. The dominant contributions in the $\pi^\pm K^\mp$ and $K^{+}K^{-}$ systems are the nonresonant and the $B^\pm \to \rho(1450)^{0}\pi^{\pm}$ amplitudes, respectively, with fit fractions around $30\%$. For the rescattering contribution, a sizeable fit fraction is observed. This component has the largest $CP$ asymmetry reported to date for a single amplitude of $(-66 \pm 4 \pm 2)\%$, where the first uncertainty is statistical and the second systematic. No significant $CP$ violation is observed in the other contributions.

Figures and captions

Dalitz plot for (left) $ { B ^+ \rightarrow \pi ^+ K ^- K ^+ }$ and (right) $ { B ^- \rightarrow \pi ^- K ^+ K ^- }$ candidates in the selected signal region.

DP_plu[..].pdf [42 KiB]
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DP_plus_paper.pdf
DP_min[..].pdf [37 KiB]
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DP_minus_paper.pdf

Distribution of $ m^2_{\pi ^\pm K ^\mp }$ . Data are represented by points for $ B ^+ $ and $ B ^- $ candidates separately, with the result of the fit overlaid.

mkpi_a[..].pdf [19 KiB]
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mkpi_all_paper_Components_separated.pdf

Distribution of $ m^2_{ K ^+ K ^- }$ up to 3.5 $\text{ Ge V} ^2/c^4$ . Data are represented by points for $ B ^+ $ and $ B ^- $ separately, with the result of the fit overlaid.

mkk_lo[..].pdf [18 KiB]
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mkk_low_paper_Components_separated.pdf

Animated gif made out of all figures.

PAPER-2018-051.gif
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Tables and captions

Results of the Dalitz plot fit, where the first uncertainty is statistical and the second systematic. The fitted values of $c_i$ ($\bar c_i$) are expressed in terms of magnitudes $|c_i|$ ($|\bar c_i|$) and phases $\arg(c_i)$ ($\arg(\bar c_i)$) for each $ B ^+ $ ( $ B ^- $ ) contribution. The top row corresponds to $ B ^+ $ and the bottom to $ B ^- $ mesons.

Table_1.pdf [56 KiB]
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tex code
Table_1.pdf

Supplementary Material [file]

Supplementary material full pdf

supple[..].pdf [345 KiB]
supplementary.pdf

This ZIP file contains supplemetary material for the publication LHCb-PAPER-2018-051. The files are: Supplementary.pdf : An overview of the extra figures *.pdf, *.png, *.eps : The figures in variuous formats *.tex : Tables included in this section in .tex format

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Created on 17 August 2019.Citation count from INSPIRE on 20 August 2019.