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Where can I find some examples of cross sections calculations in QFT done step-by-step? Those integrals are a little horror. For example - a simple scalar+scalar -> scalar+scalar at the tree level in a theory scalar $\phi^4$ ?

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Peskin and Schroeder tends to be the book used in most introductory QFT courses, so you'll definitely find all things there done in a pretty detailed way.

Warren Siegel has an online book which is also pretty good, Fields.

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+1: great link ! –  Cedric H. Nov 11 '10 at 14:00
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Take a look at M.Srednicki, "Quantum field theory". He is doing it in a very detailed manner.

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thank you very much –  AAA Nov 10 '10 at 14:03
    
The draft of Srednicki's book is freely available –  Simon Jul 20 '11 at 6:36
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