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Area of Science:

  • High-energy particle physics
  • Perturbative quantum chromodynamics (pQCD)
  • Scattering amplitudes

Background:

  • Sudakov limit describes high-energy scattering amplitudes.
  • Quark mass effects can lead to power-suppressed corrections.
  • Understanding these corrections is crucial for precise theoretical predictions.

Purpose of the Study:

  • Investigate leading power-suppressed contributions in the Sudakov limit.
  • Analyze the role of soft quark exchange in radiative corrections.
  • Determine the asymptotic behavior of scattering amplitudes with mass effects.

Main Methods:

  • Factorization of scattering amplitudes.
  • All-order resummation of double-logarithmic radiative corrections.
  • Analysis of soft quark exchange and eikonal color charge nonconservation.

Main Results:

  • Proved factorization for mass-suppressed Sudakov limit.
  • Performed all-order resummation of double-logarithmic corrections.
  • Identified soft quark exchange as the source of mass-suppressed corrections.
  • Observed universal behavior in Higgs boson production and quark form factors.
  • Found nontrivial relations between different amplitudes and gauge theories.

Conclusions:

  • Mass-suppressed corrections depend on color flow and eikonal charge nonconservation.
  • Explicit results for Higgs production and quark form factors demonstrate universality.
  • The findings establish new relations in perturbative quantum chromodynamics and gauge theories.