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Window Observables for Benchmarking Parton Distribution Functions.

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Summary
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Novel "window observables" enhance cross-validation between experimental data and lattice quantum chromodynamics (QCD) calculations for hadron structure studies. This improves precision by focusing on reliable kinematic regions for combining datasets.

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Area of Science:

  • High Energy Physics
  • Quantum Chromodynamics
  • Hadron Structure

Background:

  • Global analyses combine collider and fixed-target data with lattice QCD calculations.
  • Current methods face limitations in kinematic regions and extrapolations for parton distributions.
  • Cross-validation between different approaches is crucial for accurate hadron structure studies.

Purpose of the Study:

  • To propose novel "window observables" for precise cross-validation.
  • To enable more reliable combination of experimental and lattice QCD datasets.
  • To overcome limitations in current global analysis kinematic regions and lattice QCD calculations.

Main Methods:

  • Development of two new "window observables".
  • Definition of observables within reliable kinematic regions of Bjorken-x.
  • Utilizing global analysis of experimental data and lattice QCD calculations.

Main Results:

  • Window observables allow for higher precision cross-validation.
  • Observables are defined in regions where global analyses and lattice QCD are reliable.
  • The proposed observables maintain sensitivity and precision for both approaches.

Conclusions:

  • Window observables offer a critical advancement for hadron structure research.
  • These observables facilitate more accurate integration of diverse datasets.
  • The study provides a pathway to improved understanding of hadron structure through validated methods.