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 ?
 

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