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We computed differential distributions for Drell-Yan processes at the LHC and Tevatron colliders at next-to-next-to-leading order in perturbative QCD. Including linear power corrections resolved code discrepancies for fiducial cuts, improving theoretical predictions.

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Area of Science:

  • High Energy Physics
  • Quantum Chromodynamics
  • Collider Physics

Background:

  • Drell-Yan processes are fundamental for probing electroweak interactions at particle colliders.
  • Accurate theoretical predictions are crucial for interpreting experimental results from the LHC and Tevatron.
  • Next-to-next-to-leading order (NNLO) calculations in perturbative QCD are necessary for high precision.

Purpose of the Study:

  • To compute differential distributions for Drell-Yan processes at NNLO precision.
  • To investigate the impact of fiducial cuts on theoretical predictions and code comparisons.
  • To address instabilities in predictions for Z-boson production with symmetric transverse momentum cuts.

Main Methods:

  • NNLO perturbative QCD calculations for Drell-Yan processes.
  • Inclusion of linear power corrections to account for fiducial cuts.
  • Phase-space slicing subtraction schemes.
  • All-order resummation of the transverse momentum spectrum.

Main Results:

  • Excellent agreement between four different computational codes after including linear power corrections.
  • Identification and resolution of instabilities in fixed-order predictions for Z-boson production with symmetric cuts.
  • Demonstration of how all-order resummation remedies these instabilities.

Conclusions:

  • The inclusion of linear power corrections is essential for consistent theoretical predictions with fiducial cuts.
  • All-order resummation provides a stable and accurate method for handling transverse momentum spectra in Z-boson production.
  • The study offers guidance for optimizing experimental cut choices in future collider analyses.