Radiative Gluon/Photon: Tree Level vs. Higher Corrections

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SUMMARY

The discussion centers on the production of radiative soft photons and gluons, specifically examining scenarios where higher-order corrections exceed tree-level contributions. It is established that certain processes, such as photon-photon scattering, are forbidden at tree level but can occur at loop level. The example of the electron-positron annihilation process e+e- -> e+e- gamma illustrates the phenomenon of infrared collinear divergence, where the cross-section increases significantly as the emitted photon becomes soft.

PREREQUISITES
  • Understanding of quantum field theory principles
  • Familiarity with tree-level and loop-level diagrams
  • Knowledge of infrared collinear divergence
  • Basic concepts of particle interactions and scattering processes
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  • Study the implications of higher-order corrections in quantum electrodynamics (QED)
  • Research the mechanisms behind infrared divergences in particle physics
  • Explore the role of loop diagrams in scattering processes
  • Learn about the significance of photon-photon scattering in theoretical physics
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This discussion is beneficial for theoretical physicists, particle physicists, and students studying quantum field theory, particularly those interested in the nuances of scattering processes and higher-order corrections.

touqra
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Can there be cases where the cross section for the production of a radiative soft photon or gluon be larger than its tree level diagram ? Or in general, are there cases where higher corrections be larger than tree level in any interaction ?
 
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Well, there are processes that are completely forbidden at tree level but occur at loop level. Like photon/photon scattering.
 
Yes. As an example e+e- -> e+e- gamma has an infrared collinear divergence: i.e. the cross-section blows up as the photon gets arbitrarily soft.
 

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