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Small-x resummation from HELL.

Marco Bonvini1, Simone Marzani2, Tiziano Peraro3

  • 1Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford, England, UK.

The European Physical Journal. C, Particles and Fields
|March 21, 2017
PubMed
Summary
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This study introduces a framework and computer code (HELL) for small-x resummation, crucial for high-energy particle physics. It provides essential tools for analyzing data from colliders like the LHC and HERA.

Area of Science:

  • High-energy particle physics
  • Quantum chromodynamics
  • Phenomenology

Background:

  • Small-x logarithmic enhancements impact parton density evolution and coefficient functions.
  • High-energy colliders (LHC, future colliders) and HERA DIS data necessitate advanced theoretical tools.

Purpose of the Study:

  • Develop a framework for small-x resummation.
  • Implement this framework in the High-Energy Large Logarithms (HELL) computer code.
  • Provide phenomenological tools for high-energy physics research.

Main Methods:

  • Discuss a framework for small-x resummation applicable to parton evolution and coefficient functions.
  • Describe the implementation of this framework in the HELL code.
  • Present resummed and matched results for DGLAP splitting functions and DIS structure functions.

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Main Results:

  • The HELL code implements a framework for small-x resummation.
  • Resummed and matched results for DGLAP splitting functions are presented.
  • Massless structure functions in deep-inelastic scattering (DIS) are calculated as a proof of principle.

Conclusions:

  • The developed framework and HELL code offer valuable tools for small-x physics.
  • Results for splitting functions and DIS structure functions demonstrate the code's capabilities.
  • The study addresses the uncertainty introduced by subleading terms in the calculations.