Complete tenth-order QED contribution to the muon g-2

Area of Science:

• Particle Physics
• Quantum Electrodynamics (QED)
• Muon Anomalous Magnetic Dipole Moment

Background:

• The muon anomalous magnetic dipole moment (g-2) is a key observable in particle physics.
• A persistent discrepancy exists between the experimentally measured value of the muon g-2 and the Standard Model prediction.
• Higher-order Quantum Electrodynamics (QED) contributions are crucial for refining the Standard Model prediction.

Purpose of the Study:

• To calculate the complete tenth-order QED contributions to the muon g-2.
• To improve the precision of the eighth-order QED term for the muon g-2.
• To assess the impact of these new QED calculations on the muon g-2 discrepancy.

Main Methods:

• Performed theoretical calculations for the complete tenth-order QED terms of the muon g-2.
• Calculated the eighth-order QED term with improved precision.
• Expressed results in terms of powers of (α/π), where α is the fine-structure constant.

Main Results:

• The tenth-order QED contribution was calculated as a(μ)((10))=753.29 (1.04) in units of (α/π)(5).
• This result is approximately 4.5 standard deviations larger than the leading-logarithmic estimate.
• The improved eighth-order QED term is a(μ)((8))=130.8794 (63) in units of (α/π)(4).
• The total new QED contribution is a(μ)(QED)=116,584,718,951 (80)×10(-14).

Conclusions:

• The newly calculated tenth-order QED terms provide a more precise theoretical value for the muon g-2.
• Despite the improved precision, the new QED contributions do not resolve the existing discrepancy between the Standard Model prediction and experimental measurements of the muon g-2.
• Further theoretical and experimental investigations are needed to understand the muon g-2 anomaly.