Amplitude Analysis of B^{±}→π^{±}K^{+}K^{-} Decays.

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doi:10.1103/physrevlett.123.231802

Abstract

The first amplitude analysis of the B^{±}→π^{±}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 are found to be best described by a coherent sum of five resonant structures plus a nonresonant component and a contribution from ππ↔KK S-wave rescattering. The dominant contributions in the π^{±} K^{∓} and K^{+} K^{-} systems are the nonresonant and the B^{±}→ρ(1450)^{0}π^{±} amplitudes, respectively, with fit fractions around 30%. For the rescattering contribution, a sizable fit fraction is observed. This component has the largest CP asymmetry reported to date for a single amplitude of (-66±4±2)%, where the first uncertainty is statistical and the second systematic. No significant CP violation is observed in the other contributions.

Highlights

The first amplitude analysis of the BÆ → πÆKþK− 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 production of resonances in the BÆ → πÆKþK− decay is limited: πÆK∓ resonances can only be obtained from penguin transitions; KþK− resonances can come from tree-level transitions, but with the sscontribution highly suppressed by the OZI rule [8,9,10]
In this Letter, the first amplitude analysis of the decay BÆ → πÆKþK− is performed based on a data sample corresponding to an integrated luminosity of 3.0 fb−1 collected in 2011 and 2012

Summary

Introduction

The first amplitude analysis of the BÆ → πÆKþK− 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 total probability density function (PDF) is a sum of signal and background components, with relative contributions fixed from the result of the BÆ → πÆKþK− mass fit. The contribution of the possible intermediate states in the total decay amplitude is tested through a procedure in which each component is taken in and out of the model, and that which provides the best likelihood is maintained, and the process is repeated.

Results

Conclusion