Finding cross sections for top quark production

In summary, the problem requires finding the total cross-section for u\bar{u} \rightarrow t\bar{t} via the strong interaction and also via QCD. While both methods use the strong interaction, the difference lies in the total cross-section calculation. The Feynman rules for QCD can be used to find the amplitude and subsequently the cross-section. However, there may be higher-order processes to consider, so only the leading order is relevant in this case.
  • #1
saybrook1
101
4

Homework Statement


The problem asks me to find [itex]\frac{d\sigma}{dz}[/itex] for [itex]u\bar{u} \rightarrow t\bar{t}[/itex] 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


[itex]u\bar{u} \rightarrow t\bar{t}[/itex]
[itex]\frac{d\sigma}{dz}[/itex]

The Attempt at a Solution


Feynman rules for QCD to get amplitude then cross section
 
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  • #2
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.
 

FAQ: Finding cross sections for top quark production

What is the top quark and why is it important to study its production?

The top quark is a fundamental particle that is one of the building blocks of matter. It is the heaviest known elementary particle and plays a crucial role in the standard model of particle physics. Studying its production helps us understand the fundamental interactions of particles and can provide insights into the nature of the universe.

How do scientists find cross sections for top quark production?

Scientists use theoretical calculations and experimental measurements to determine the cross section for top quark production. The theoretical calculations involve complex mathematical equations that describe the probability of producing a top quark in a given collision. These calculations are then compared to data from experiments, such as those conducted at the Large Hadron Collider, to verify their accuracy.

What factors can affect the cross section for top quark production?

The cross section for top quark production can be affected by a variety of factors, including the energy of the collision, the type of particles colliding, and the specific process being studied. It can also be influenced by the presence of other particles in the collision and the effects of quantum fluctuations.

How do scientists use cross sections for top quark production to test theories?

Cross sections for top quark production can be used to test the predictions of the standard model of particle physics and other theories that attempt to explain the nature of the universe. By comparing the calculated cross sections to experimental results, scientists can determine if a theory accurately describes the behavior of top quarks and other particles.

What are some current research efforts focused on finding cross sections for top quark production?

There are many ongoing research efforts focused on finding cross sections for top quark production. These include experiments at the Large Hadron Collider, as well as theoretical calculations using advanced computational techniques. Scientists are also studying the properties of top quarks, such as their mass and spin, in order to refine our understanding of their production mechanisms.

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