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Massive Vector Form Factors to Three Loops.

Matteo Fael1, Fabian Lange1,2, Kay Schönwald1

  • 1Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT), 76128 Karlsruhe, Germany.

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Summary
This summary is machine-generated.

We calculated precise three-loop corrections for photon-quark interactions, considering photon virtuality and quark mass. This advancement offers highly accurate form factor results across all kinematic ranges.

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Area of Science:

  • High-energy physics
  • Quantum field theory
  • Particle physics

Background:

  • Photon-quark interactions are fundamental in particle physics.
  • Calculating form factors requires advanced theoretical methods.
  • Previous calculations lacked full dependence on photon virtuality and quark mass.

Purpose of the Study:

  • To compute three-loop nonsinglet corrections to photon-quark form factors.
  • To include the full dependence on photon virtuality and quark mass.
  • To achieve high precision in the results.

Main Methods:

  • Utilizing the method of differential equations.
  • Employing expansions around regular and singular points.
  • Combining these methods for effective computation.

Main Results:

  • Precise computation of three-loop nonsinglet corrections.
  • Inclusion of full dependence on photon virtuality and quark mass.
  • Form factor results accurate to 8-12 digits across the kinematic range.

Conclusions:

  • The study provides highly accurate theoretical predictions for photon-quark form factors.
  • The methodology is effective for complex calculations in quantum field theory.
  • This work advances the understanding of fundamental particle interactions.