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N-jettiness soft function at next-to-next-to-leading order in perturbative QCD

  • Prem Agarwal,
  • Kirill Melnikov,
  • Ivan Pedron

摘要

We derive a compact representation of the renormalized N-jettiness soft function that is free of infrared and collinear divergences through next-to-next-to-leading order in perturbative QCD. The number of hard partons N is a parameter in the formula for the finite remainder. Cancellation of all infrared and collinear singularities between the bare soft function and its renormalization matrix in color space is demonstrated analytically.