Massive Vector Form Factors to Three Loops

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.