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Infrared singularities of scattering amplitudes and NLL resummation for n-jet processes

Journal of High Energy Physics, ISSN: 1029-8479, Vol: 2020, Issue: 1
2020
  • 43
    Citations
  • 0
    Usage
  • 7
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    43
    • Citation Indexes
      43
  • Captures
    7

Article Description

We revisit the multi-loop structure of the anomalous-dimension matrix governing the infrared divergences of massless n-particle scattering amplitudes in non-abelian gauge theories. In particular, we derive its most general form at four-loop order, significantly simplifying corresponding expressions given previously. By carefully reevaluating the constraints imposed by two-particle collinear limits, we find that at four-loop order color structures involving dRabcd, the symmetrized trace of four group generators, appear along with cusp logarithms ln[μ/(−s)]. As a consequence, naive Casimir scaling of the cusp anomalous dimensions associated with the quark and gluon form factors is violated, while a generalized form of Casimir scaling still holds. Our results provide an important ingredient for resummations of large logarithms in n-jet cross sections with next-to-next-to-next-to leading logarithmic (NLL) accuracy.

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