Statistical Analysis of Angular Asymmetries in e⁺e⁻ → μ⁺μ⁻ Scattering

Simulates electron–positron collisions near the Z resonance and measures a small forward–backward asymmetry (κ). Synthetic angular datasets are generated with inverse transform sampling and fitted with three methods matched to data size: unbinned likelihood (5k events), binned likelihood (50k events), and χ² (500k events). Plots and summaries show how κ precision improves with more events.

Files

• ElectronMuonScattering.ipynb — main notebook with simulation, fits, and plots.

Environment

python -m venv .venv
source .venv/bin/activate
pip install numpy scipy matplotlib iminuit jupyter

Run

jupyter notebook ElectronMuonScattering.ipynb

What you’ll see

• Generated angular distributions for κ = −0.07, 0, +0.07
• Fits for each scenario with κ estimates and uncertainties
• Comparison of methods and how precision scales with event count