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Ordering Multiple Soft Gluon Emissions.

René Ángeles Martínez1, Jeffrey R Forshaw1, Michael H Seymour1

  • 1Consortium for Fundamental Physics, School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom.

Physical Review Letters
|June 11, 2016
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Summary
This summary is machine-generated.

We developed a new QCD amplitude expression for hard scattering processes with soft gluon emissions. This work advances the development of all-orders algorithms for multiple emissions in quantum chromodynamics calculations.

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Area of Science:

  • High Energy Physics
  • Quantum Chromodynamics (QCD)

Background:

  • Calculating QCD amplitudes is crucial for understanding particle collisions.
  • Handling multiple soft gluon emissions in hard scattering processes presents significant theoretical challenges.

Purpose of the Study:

  • To present a novel expression for the QCD amplitude in general hard scattering processes.
  • To facilitate the development of all-orders algorithms for multiple soft gluon emissions.

Main Methods:

  • The study derives an expression for the QCD amplitude accurate to one-loop.
  • The amplitude is formulated in two equivalent representations: ordered operators by dipole transverse momentum and loop-expanded currents.

Main Results:

  • A new expression for the QCD amplitude is provided, incorporating any number of soft gluon emissions.
  • The results are presented in two distinct, yet equivalent, mathematical forms.

Conclusions:

  • The presented results are expected to aid in creating advanced algorithms for multiple emissions.
  • This work contributes to a more comprehensive understanding of QCD amplitudes, including full color structure and complex contributions.