How to find branching ratio after modelling Lagrangian?

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zaman786
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to find branching ratio after modelling Lagrangian
hi, we have learned that after modelling Lagrangian and extracting Feynman rules from it - we can find matrix element - from which decay width can be calculated - and than Branching ratio - my question is can we use some other way of calculatiing BR , or can we use our Lagrangain in our Euler -Lagrangian equation - from there we can find out Branching ratio ?
 

1. How do you calculate the branching ratio after modeling a Lagrangian?

To calculate the branching ratio after modeling a Lagrangian, you first need to determine the decay widths of the possible decay channels. Then, you can find the branching ratio by taking the ratio of the decay width of a specific decay channel to the total decay width.

2. What information do you need to find the branching ratio after modeling a Lagrangian?

In order to find the branching ratio after modeling a Lagrangian, you need to know the decay widths of all possible decay channels for the particle in question. Additionally, you will need to calculate the total decay width of the particle.

3. Can you provide an example of how to calculate the branching ratio after modeling a Lagrangian?

Sure! Let's say we have a particle with two possible decay channels. If the decay width of the first channel is 2 GeV and the decay width of the second channel is 3 GeV, the total decay width would be 5 GeV. To find the branching ratio for the first channel, you would divide 2 GeV by 5 GeV, resulting in a branching ratio of 0.4.

4. Why is it important to calculate the branching ratio after modeling a Lagrangian?

Calculating the branching ratio after modeling a Lagrangian is important because it allows us to understand the relative likelihood of a particle decaying through different channels. This information is crucial for predicting and interpreting experimental results.

5. Are there any assumptions or limitations when calculating the branching ratio after modeling a Lagrangian?

When calculating the branching ratio after modeling a Lagrangian, it is important to keep in mind that certain assumptions may have been made in the modeling process. Additionally, the accuracy of the branching ratio calculation may be affected by uncertainties in the decay widths or other parameters used in the calculation.

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