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Two-loop Sudakov form factor in a theory with a mass gap.

Bernd Feucht1, Johann H Kühn, Alexander A Penin

  • 1Institut für Theoretische Teilchenphysik, Universität Karlsruhe, 76128 Karlsruhe, Germany.

Physical Review Letters
|September 28, 2004
PubMed
Summary
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We computed the two-loop Sudakov form factor in U(1) models, establishing a matching procedure for theories with and without a mass gap. This sets the stage for high-energy electroweak process calculations.

Area of Science:

  • High-energy particle physics
  • Quantum field theory

Background:

  • The Sudakov form factor is crucial for understanding high-energy scattering processes.
  • Previous calculations often simplified models, neglecting mass gap effects.

Purpose of the Study:

  • To compute the two-loop Sudakov form factor in U(1) models with massive gauge bosons.
  • To analyze the form factor in the context of hard and infrared evolution equations.
  • To establish a matching procedure between theories with and without a mass gap.

Main Methods:

  • Calculation of the two-loop Sudakov form factor in specified U(1) models.
  • Analysis using hard and infrared evolution equations.
  • Development of a matching procedure for theories with and without a mass gap.

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Main Results:

  • The two-loop Sudakov form factor was successfully computed for both U(1) and U(1)xU(1) models.
  • A novel matching procedure was established, connecting theories with and without a mass gap.
  • The results provide a foundation for future calculations of electroweak processes.

Conclusions:

  • The study successfully computed the two-loop Sudakov form factor in relevant theoretical frameworks.
  • The established matching procedure is a key step towards more complete high-energy physics calculations.
  • This work paves the way for accurate predictions of dominant two-loop corrections to electroweak processes.