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Muon-Electron Scattering at Next-To-Next-To-Leading Order: The Hadronic Corrections.

M Fael1, M Passera2

  • 1Theoretische Physik I, Universität Siegen, 57068 Siegen, Germany.

Physical Review Letters
|May 31, 2019
PubMed
Summary
This summary is machine-generated.

Quantum chromodynamics (QCD) contributions are essential for precise muon-electron scattering predictions beyond leading order. These calculations, crucial for experiments like MUonE, utilize a dispersive approach with electron-positron annihilation data.

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Area of Science:

  • Particle Physics
  • Quantum Field Theory
  • High-Energy Physics

Background:

  • Standard Model predictions for muon-electron scattering require non-perturbative Quantum Chromodynamics (QCD) contributions at higher orders.
  • These contributions arise from complex loop diagrams involving hadronic vacuum polarization.

Purpose of the Study:

  • To evaluate the non-perturbative QCD contributions to muon-electron scattering at next-to-leading and next-to-next-to-leading order.
  • To estimate the uncertainty associated with these crucial corrections.
  • To assess the impact of these corrections on future high-precision scattering experiments.

Main Methods:

  • Employed the dispersive approach, utilizing experimental data from hadronic electron-positron annihilation.
  • Calculated one- and two-loop diagrams with hadronic vacuum polarization insertions in the photon propagator.

Main Results:

  • Successfully evaluated the non-perturbative QCD contributions to muon-electron scattering.
  • Provided an estimation of the uncertainty for these calculated corrections.
  • Demonstrated the significance of these corrections for future precision measurements.

Conclusions:

  • The calculated QCD corrections are indispensable for analyzing high-precision muon-electron scattering data.
  • These findings are vital for the success of experiments such as the proposed MUonE experiment at CERN.