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Related Experiment Videos

Method for extracting the quark mixing parameter cosalpha via B+/- -->pi(+/-)e(+)e(-)

Grinstein1, Nolte, Rothstein

  • 1Department of Physics,University of California at San Diego, La Jolla, California 92093, USA.

Physical Review Letters
|September 16, 2000
PubMed
Summary

Researchers can determine the weak mixing angle alpha by measuring the B+ meson decay rate into pi+/- and electron-positron pairs. This method leverages interference effects, offering a new way to probe fundamental particle physics.

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Area of Science:

  • High Energy Physics
  • Particle Physics
  • Quantum Chromodynamics

Background:

  • The weak mixing angle (alpha) is a fundamental parameter in the Standard Model of particle physics.
  • Measuring alpha precisely is crucial for testing the Standard Model and searching for new physics.
  • Previous methods for determining alpha have limitations.

Purpose of the Study:

  • To propose a novel method for extracting the weak mixing angle alpha.
  • To investigate the feasibility of using the B+ ---> pi+/- e+e- decay for alpha determination.
  • To analyze the sensitivity of this decay to fundamental parameters.

Main Methods:

  • Analysis of the decay rate for B+ ---> pi+/- e+e-.
  • Interference between long-distance and short-distance contributions to the decay amplitude.

Related Experiment Videos

  • Calculation of short-distance contributions using semileptonic form factors.
  • Calculation of long-distance contributions using Ward identities and operator product expansion for invariant lepton pair mass (q^2) > Lambda^2(QCD).

    • Main Results:

    • The decay rate for B+ ---> pi+/- e+e- is approximately 1x10^-8 |V(td)/0.008|^2 for q^2 >= 2 GeV^2.
    • The differential decay rate (dgamma/dq^2) shows significant sensitivity to cos(alpha) at low q^2.
    • A 50% variation in dgamma/dq^2 is observed for -1 < cos(alpha) < 1 at q^2 = 2 GeV^2.

    Conclusions:

    • Measurement of the B+ ---> pi+/- e+e- decay rate provides a viable method to extract the weak mixing angle alpha.
    • The sensitivity to cos(alpha) arises from the interference of different contributing amplitudes.
    • This decay offers a promising channel for precise determination of alpha in future experiments.