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Large-x resummation in Q2 evolution.

S Albino1, B A Kniehl, G Kramer

  • 1II Institut für Theoretische Physik, Universität Hamburg, Hamburg, Germany.

Physical Review Letters
|June 4, 2008
PubMed
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This study improves the analytic solution to the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi equation by resumming large-x divergences. This significantly reduces theoretical uncertainties in parton density functions for hadron collider experiments.

Area of Science:

  • High-energy physics
  • Quantum chromodynamics
  • Particle physics

Background:

  • The Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) equation describes how parton density functions (PDFs) evolve with energy.
  • Standard analytic solutions face challenges with large-x divergences, impacting PDF precision.
  • Accurate PDFs are crucial for interpreting results from hadron collider experiments.

Purpose of the Study:

  • To improve the standard analytic solution of the DGLAP equation in Mellin space.
  • To reduce theoretical uncertainties in parton density functions.
  • To enhance the reliability of interpreting data from hadron collider experiments.

Main Methods:

  • Resummation of large-x divergences in the DGLAP equation's analytic solution.

Related Experiment Videos

  • Derivation of explicit results to next-to-leading order (NLO) and next-to-leading logarithmic (NLL) accuracy.
  • Comparison of the impact of these corrections against higher-order corrections.

    • Main Results:

    • The resummation technique significantly reduces theoretical uncertainties in PDFs.
    • NLO and NLL accuracy improvements are substantial, sometimes exceeding the impact of next-to-next-to-leading order (NNLO) corrections.
    • The improved solution provides more precise parton density functions.

    Conclusions:

    • The developed method offers a significant advancement in calculating parton density functions.
    • This improvement is vital for the precise interpretation of current and future experiments at facilities like the CERN Large Hadron Collider.
    • The findings underscore the importance of resumming large-x divergences for theoretical precision in high-energy physics.