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Area of Science:

  • High-energy particle physics
  • Quantum chromodynamics (QCD)
  • Scattering amplitudes

Background:

  • Calculating scattering amplitudes at next-to-next-to-leading order (NNLO) is crucial for precise theoretical predictions in particle physics.
  • Existing NNLO subtraction schemes can be complex, involving numerous sectors for double-real emission contributions.

Purpose of the Study:

  • To present a modified NNLO subtraction scheme that simplifies the calculation of double-real emission contributions.
  • To reduce the number of sectors required in the sector decomposition method.
  • To facilitate explicit and process-independent demonstration of singularity cancellation.

Main Methods:

  • Modification of the residue-improved sector decomposition technique.
  • Identification and removal of a redundant sector in double-real emission calculations.
  • Development of a transparent iterative subtraction procedure.

Main Results:

  • The number of double-real emission sectors is reduced from five to four.
  • A simplified, iterative subtraction procedure for double-real emission contributions is formulated.
  • Explicit demonstration of soft and collinear singularity cancellation is achieved.
  • NNLO calculations can be expressed in terms of quantities computable in four space-time dimensions.

Conclusions:

  • The proposed method offers a more transparent and efficient approach to NNLO calculations.
  • This framework leads to fast and numerically stable computations of QCD corrections.
  • The simplified procedure is illustrated with gluonic corrections to the Drell-Yan process.