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Interference between K_{L} and K_{S} decays reveals direct CP violation, impacting K_{S}→μ^{+}μ^{-} predictions by 60%. This interference also resolves theoretical uncertainties in K_{L}→μ^{+}μ^{-} branching ratios.

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Area of Science:

  • Particle Physics
  • High Energy Physics
  • Quantum Mechanics

Background:

  • Rare kaon decays provide sensitive probes of the Standard Model.
  • CP violation is a key phenomenon in particle physics, with ongoing investigations into its sources.
  • Precise measurements of K_{L}→μ^{+}μ^{-} and future observations of K_{S}→μ^{+}μ^{-} are crucial.

Purpose of the Study:

  • To investigate the interference between K_{L}→μ^{+}μ^{-} and K_{S}→μ^{+}μ^{-} decays.
  • To explore the implications of this interference for direct CP violation.
  • To determine the sign of A(K_{L}→γγ) and reduce theoretical uncertainties in B(K_{L}→μ^{+}μ^{-}).

Main Methods:

  • Theoretical analysis of interference contributions in kaon beams.
  • Exploration of a new physics model incorporating Z-penguin contributions.
  • Utilizing precise measurements of K_{L}→μ^{+}μ^{-} and planned K_{S}→μ^{+}μ^{-} observations.

Main Results:

  • The interference between K_{L} and K_{S} decays signifies direct CP violation.
  • This interference can alter Standard Model predictions for K_{S}→μ^{+}μ^{-} by approximately 60%.
  • Measurement of the interference can determine the sign of A(K_{L}→γγ), reducing theoretical uncertainties in B(K_{L}→μ^{+}μ^{-}).

Conclusions:

  • The interference effect is a crucial factor in understanding rare kaon decays.
  • This phenomenon offers a new avenue to probe direct CP violation.
  • The study highlights the potential of future LHCb upgrade measurements to test the Standard Model and search for new physics.