List of matrix elements or Feynman diagrams

In summary, a matrix element, or transition amplitude, is a mathematical quantity used in Feynman diagrams to describe the probability of a physical process occurring. In particle physics, they are used to calculate interactions and properties of particles, with units depending on the specific process. These elements can be experimentally measured and are also used in other fields of physics.
  • #1
tom.stoer
Science Advisor
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Is there a list of matrix elements for elementary processes?

##f\bar{f}\to\gamma\to f^\prime\bar{f}^\prime##

##f\bar{f}\to Z^0\to f^\prime\bar{f}^\prime##

##ff^\prime\to W \to \ldots##

##qq^\prime\to \ldots##

##\ldots##
 
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  • #2
The last part of this standard model review has several matrix elements:

http://arxiv.org/abs/hep-ph/9507456

Unfortunately, it doesn't seem to have the first two you've asked for.
 

1. What is a matrix element in reference to Feynman diagrams?

A matrix element, also known as a transition amplitude, is a mathematical quantity that describes the probability amplitude for a particular physical process to occur, as represented by a Feynman diagram. It is calculated by summing the contributions from all possible paths or interactions between particles in the diagram.

2. How are matrix elements used in particle physics?

Matrix elements are used in particle physics to calculate the probability of different particle interactions and decays. They are also used to determine the properties of particles, such as their masses and decay rates.

3. What are the units of a matrix element?

The units of a matrix element depend on the specific process being described. In general, they have units of mass to the power of (number of particles - 2).

4. Can matrix elements be experimentally measured?

Yes, matrix elements can be measured experimentally using particle colliders and detectors. The results of these experiments can then be compared to theoretical predictions from Feynman diagrams.

5. Are matrix elements only used in particle physics?

No, matrix elements are also used in other fields of physics, such as quantum mechanics and quantum field theory, to calculate the probability of different physical processes occurring.

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