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Recursive Landau Analysis.

Simon Caron-Huot1, Miguel Correia1, Mathieu Giroux1

  • 1McGill University, Department of Physics, 3600 Rue University, Montréal, H3A 2T8 Quebec, Canada.

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Summary
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A new recursive method uses unitarity to compute Landau singularities in scattering amplitudes. This technique accelerates analytic calculations for complex Feynman diagrams, offering new predictions for the Standard Model.

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Area of Science:

  • High Energy Physics
  • Quantum Field Theory

Background:

  • Calculating Landau singularities is crucial for understanding scattering amplitudes in quantum field theory.
  • Current methods face limitations in speed and applicability for complex Feynman diagrams.

Purpose of the Study:

  • To develop a novel recursive method for calculating Landau singularities.
  • To enable rapid analytic computations of these singularities directly in kinematic space.

Main Methods:

  • The proposed method leverages the fundamental principle of unitarity.
  • It applies a recursive approach to n-point scattering amplitudes.
  • Calculations are performed directly in kinematic space.

Main Results:

  • The method successfully computes Landau singularities for a broad range of Feynman diagrams.
  • It significantly surpasses the speed and scope of existing state-of-the-art techniques.
  • New predictions are generated for multi-loop processes within the Standard Model.

Conclusions:

  • The recursive unitarity-based method offers a powerful tool for analytic calculations of Landau singularities.
  • This advancement has significant implications for studying Standard Model processes involving massive quarks and electroweak particles.