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Area of Science:

  • High-energy physics
  • Quantum field theory
  • Electroweak interactions

Background:

  • Precise measurement of parity-violating electroweak interactions is crucial for New Physics searches.
  • Møller scattering is a key process for probing the electroweak mixing angle.
  • Higher-order corrections are necessary for interpreting experimental results with high precision.

Purpose of the Study:

  • To perform a complete, gauge-invariant calculation of two-loop virtual corrections involving closed fermion loops to the polarized Møller scattering asymmetry.
  • To assess the impact of these corrections on the asymmetry value.
  • To provide essential theoretical input for the MOLLER experiment.

Main Methods:

  • Calculation of two-loop Feynman diagrams with closed fermion loops.
  • Application of gauge-invariant techniques to ensure theoretical consistency.
  • Numerical evaluation of the resulting amplitude contributions.

Main Results:

  • The contributions from two closed fermion loops and one closed fermion loop are numerically similar.
  • These contributions yield an overall correction of 1.3% relative to the tree-level asymmetry.
  • Estimates for remaining two-loop contributions were made.

Conclusions:

  • The calculated two-loop corrections are significant and must be included for precise theoretical predictions.
  • The results provide crucial theoretical support for the MOLLER experiment's goals.
  • Further investigation into remaining two-loop contributions is warranted.