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Summary
This summary is machine-generated.

This study solves the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations using observable structure functions. This approach offers an unambiguous method for comparing perturbative Quantum Chromodynamics predictions with experimental data.

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Area of Science:

  • High-energy particle physics
  • Quantum Chromodynamics (QCD)
  • Perturbative QCD

Background:

  • Deeply inelastic scattering experiments probe the structure of hadrons.
  • Parton distribution functions (PDFs) are conventionally used to describe this structure.
  • Factorization scale and scheme dependence can introduce ambiguities in theoretical predictions.

Purpose of the Study:

  • To develop and numerically solve the DGLAP evolution equations directly for physical, observable structure functions.
  • To provide an unambiguous method for comparing theoretical predictions with experimental data in high-energy physics.
  • To investigate the advantages of using a physical basis for evolution equations.

Main Methods:

  • Formulation and numerical solution of the DGLAP evolution equations at next-to-leading order.
  • Direct evolution of 6 physical, observable structure functions.
  • Comparison of results obtained in the physical basis with conventional PDF evolution.

Main Results:

  • The DGLAP evolution equations were successfully solved directly in a basis of physical structure functions.
  • Expressing evolution in the physical basis eliminates factorization scale and scheme dependence.
  • This method provides an unambiguous confrontation of perturbative QCD predictions with experimental measurements.

Conclusions:

  • Solving DGLAP equations directly for observable structure functions offers a more direct and unambiguous comparison with experimental data.
  • The physical basis approach avoids the complexities associated with unobservable parton distribution functions.
  • This work validates a new approach for theoretical predictions in perturbative Quantum Chromodynamics.