Finding cross sections for top quark production

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SUMMARY

The discussion focuses on calculating the differential cross section \(\frac{d\sigma}{dz}\) for the process \(u\bar{u} \rightarrow t\bar{t}\) using Quantum Chromodynamics (QCD). The participant expresses confusion regarding the distinction between finding the cross section via the strong interaction and through QCD. It is clarified that both methods utilize the strong interaction, but the total cross section is the primary difference. The emphasis is placed on considering leading-order processes for accurate calculations.

PREREQUISITES
  • Understanding of Quantum Chromodynamics (QCD)
  • Familiarity with Feynman rules for particle interactions
  • Knowledge of differential cross sections in particle physics
  • Basic concepts of leading-order and higher-order processes
NEXT STEPS
  • Study the derivation of differential cross sections in QCD
  • Learn about leading-order and next-to-leading-order calculations in particle physics
  • Explore the Feynman rules specific to QCD interactions
  • Research the implications of total cross sections in collider physics
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Particle physicists, students studying QCD, and researchers involved in high-energy physics experiments will benefit from this discussion.

saybrook1
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Homework Statement


The problem asks me to find \frac{d\sigma}{dz} for u\bar{u} \rightarrow t\bar{t} via the strong interaction and then to find the total cross section via QCD. I'm wondering what the difference is? I was just going to write the feynman rules for QCD to get the amplitude and subsequently the cross section. How will this look different finding it via the strong interaction?

Homework Equations


u\bar{u} \rightarrow t\bar{t}
\frac{d\sigma}{dz}

The Attempt at a Solution


Feynman rules for QCD to get amplitude then cross section
 
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The difference is not the strong interaction (both parts use it), the difference is the total cross-section.

There are higher-order processes but I guess you have to consider leading order only here.
 

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