Cross Sections

Quantum Field Theory · Part 4

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Table of Contents

  1. 1.2.1 From Theory to Experiment
  2. 2.2.2 Differential Cross Section
  3. 3.2.3 Total Cross Section
  4. 4.2.4 Phase Space Integrals
  5. 5.2.5 Decay Rates
  6. 6.2.6 Mandelstam Variables
  7. 7.Example: φ⁴ Scattering
  8. 8.Two-Body Decay
  9. 9.Key Takeaways (Page 1)

Key Equations

$$\boxed{\frac{d\sigma}{d\Omega} = \frac{1}{64\pi^2 s}\frac{|\vec{p}_f|}{|\vec{p}_i|}|\mathcal{M}|^2}$$
$$\boxed{\sigma_{\text{tot}} = \int d\Omega \frac{d\sigma}{d\Omega}}$$
$$\sigma_{\text{tot}} = \frac{\lambda^2}{16\pi s}$$
$$\boxed{\Gamma = \frac{1}{2m_A}\int d\Phi_n |\mathcal{M}|^2}$$

Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.

Course Context

This PDF is part of the Quantum Field Theory course on CoursesHub.World. Free online course in Quantum Field Theory (QFT). 8 parts covering classical field theory, canonical quantization, path integrals, QED, non-Abelian gauge theories, renormalization, the Standard Model,...

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