Scholarlink

This chapter extends the methodology of event generation from simple phase-space sampling to incorporating differential quantities using the rejection sampling technique. Leading-order muon and neutron decay processes are employed to introduce rejection sampling and numerical integration for calculating particle lifetimes. The generation of three-body final-state phase space is described in detail. As a further application of phase-space sampling, parts of the Solar neutrino energy spectrum are estimated. Finally, the decay of charged pions is used to demonstrate how phase-space kinematics underlies the basic principle of accelerator-based neutrino beams.

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Weak Decays

  • 章节

  • 发表日期：

    2026年

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  • Balint Radics

摘要

This chapter extends the methodology of event generation from simple phase-space sampling to incorporating differential quantities using the rejection sampling technique. Leading-order muon and neutron decay processes are employed to introduce rejection sampling and numerical integration for calculating particle lifetimes. The generation of three-body final-state phase space is described in detail. As a further application of phase-space sampling, parts of the Solar neutrino energy spectrum are estimated. Finally, the decay of charged pions is used to demonstrate how phase-space kinematics underlies the basic principle of accelerator-based neutrino beams.