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Leonardo Bonino1, Thomas Gehrmann1, Giovanni Stagnitto2

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We calculated advanced Quantum Chromodynamics (QCD) corrections for deep-inelastic lepton-nucleon scattering. These findings improve understanding of nucleon quark structure and hadron fragmentation.

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Area of Science:

  • Particle Physics
  • Quantum Chromodynamics
  • Nuclear Physics

Background:

  • Semi-inclusive hadron production in deep-inelastic lepton-nucleon scattering probes nucleon quark flavor structure.
  • Understanding quark fragmentation dynamics is crucial for interpreting experimental data.

Purpose of the Study:

  • To compute the full next-to-next-to-leading order Quantum Chromodynamics (QCD) corrections to coefficient functions for semi-inclusive deep-inelastic scattering.
  • To provide analytical expressions for these higher-order corrections.

Main Methods:

  • Analytical computation of QCD corrections.
  • Next-to-next-to-leading order calculations in perturbative QCD.
  • Comparison of theoretical predictions with experimental data.

Main Results:

  • Full next-to-next-to-leading order QCD corrections to coefficient functions have been computed in analytical form.
  • The numerical impact of these corrections was assessed.

Conclusions:

  • The computed higher-order QCD corrections are essential for precision studies in semi-inclusive deep-inelastic scattering.
  • Comparison with CERN COMPASS experiment data validates the theoretical framework and highlights the importance of these corrections for understanding hadron spectra.