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

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.

All figures and tables, along with any supplementary material and additional information, are available at https://cern.ch/lhcbproject/Publications/p/LHCb-PAPER-2018-051.html (LHCb public pages) / v2: Latex formatting in abstract fixed

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