Muon g-2 Precession Lab & Anomaly Analyzer

🔬 14.2m Superconducting Storage Ring (B = 1.4513 T)

μ⁺ Beam (p) Spin (S) e⁺ Decay

B-Field (Tesla) 1.4513 T

Muon p (GeV/c) 3.094 (Magic)

Injected / Bunch 50,000

● Beam Storage Active

Cyclotron Freq (ω_c) 42.82 MHz

Anomalous Freq (ω_a) 1.439 MHz

Dilated Lifetime (γτ) 64.4 μs

Detected e⁺ Counts 124,580

📈 Positron Wiggle Histogram & FFT Spectrum

Model: $N(t) = N_0 e^{-t/\tau} [1 + A \cos(\omega_a t + \phi)]$

Fitted Precession Freq (ω_a / 2π) 0.22902 ± 0.00004 MHz

Derived Anomaly a_μ = (g-2)/2 116 592 059(22) × 10⁻¹¹

Asymmetry Parameter (A) 0.370 ± 0.003

Reduced Chi-Square (χ²/NDF) 1.02 (p = 0.44)

⚖️ Standard Model Prediction vs. Experimental Measurement 5.1σ Tension (Dispersive)

Comparison of measured $a_\mu$ against the Standard Model theoretical predictions derived from dispersive data (e⁺e⁻ → hadrons) versus Lattice QCD (BMW collaboration).

Experiment (FNAL + BNL Combined) 116 592 059(22) × 10⁻¹¹

SM Theory (Dispersive WP2020) 116 591 810(43) × 10⁻¹¹ [-249]

SM Theory (BMW Lattice QCD) 116 592 000(55) × 10⁻¹¹ [-59]

Dirac Tree-Level (g = 2) 0 × 10⁻¹¹ (No Loops)

Why is this revolutionary? In Dirac quantum mechanics, $g=2$ exactly. Virtual particle loops in the quantum vacuum shift $g > 2$. If the experimental value differs from SM calculations, it signals unknown heavy supersymmetric particles, dark photons, or leptoquarks.

📐 Theoretical Standard Model Decomposition Units: $10^{-11}$

Sector / Mechanism	Order / Method	Contribution (10⁻¹¹)	Uncertainty
QED (Photons + Leptons)	5-loop perturbation ($\alpha^5$)	116 584 718.9	± 0.1
Electroweak (W±, Z⁰, Higgs)	2-loop EW	153.6	± 1.0
HVP (Hadronic Vac. Pol.)	Data-driven e⁺e⁻ / Lattice	6 845.0	± 40.0
HLbL (Hadronic Light-by-Light)	Dispersion + Lattice	92.0	± 18.0
Total SM Prediction	Sum of virtual sectors	116 591 810.0	± 43.0

Magic Momentum Equation: $\vec{\omega}_a = -\frac{q}{m} \left[ a_\mu \vec{B} - \left( a_\mu - \frac{1}{\gamma^2 - 1} \right) \frac{\vec{\beta} \times \vec{E}}{c} \right]$

📋 Experimental Measurement Brief