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

Area of Science:

• Particle Physics
• High Energy Physics
• Quantum Chromodynamics

Background:

• B meson decays provide a sensitive probe for physics beyond the Standard Model.
• Understanding the dynamics of three-body decays is crucial for precise measurements of fundamental parameters.

Purpose of the Study:

• To perform the first amplitude analysis of the B^{±}→π^{±}K^{+}K^{-} decay.
• To investigate the contributions of resonant and nonresonant amplitudes, including rescattering effects.
• To measure CP asymmetry in different decay components.

Main Methods:

• Amplitude analysis utilizing LHCb detector data from 3.0 fb⁻¹ of pp collisions (2011-2012).
• Modeling the decay amplitude as a sum of resonant structures, nonresonant components, and S-wave rescattering.
• Fitting the model to the experimental data to determine the contribution and properties of each component.

Main Results:

• The decay is best described by five resonant structures, a nonresonant component, and ππ↔KK S-wave rescattering.
• Dominant contributions arise from nonresonant amplitudes in the π^{±}K^{∓} system and B^{±}→ρ(1450)^{0}π^{±} amplitudes in the K^{+}K^{-} system.
• The rescattering component exhibits a large CP asymmetry of (-66±4±2)%, the largest observed for a single amplitude to date.
• No significant CP violation was found in other decay contributions.

Conclusions:

• The amplitude analysis provides a detailed understanding of the B^{±}→π^{±}K^{+}K^{-} decay dynamics.
• The large CP asymmetry in the rescattering component suggests potential new physics or requires further theoretical investigation.
• This result opens new avenues for searching for New Physics in B meson decays.