A How to calculate Feynman amplitude in Fish diagram

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The discussion focuses on calculating Feynman amplitudes for specific diagrams, particularly in the context of quantum field theory (QFT). The user seeks study materials that provide a step-by-step approach to this calculation, especially for cases involving scalar, fermion, or gauge boson particles. Recommendations include QFT textbooks such as Srednicki and Peskin & Schroeder, with a specific reference to a section in a lecture note on simple φ^4 theory. The user is looking for resources that can enhance their understanding of the process. Overall, the conversation emphasizes the need for structured learning materials for Feynman amplitude calculations.
Alpha2021
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I am familiar with the process of calculating cross sections using tree-level Feynman diagrams. Currently, I'm keen on learning how to calculate the Feynman amplitude for a specific diagram displayed in the attached images. I'm wondering if there are any study materials available that offer a step-by-step approach to comprehending and calculating this particular process. Specifically, I'm interested in cases where x_3 and x_4 can be either scalar, fermion, or gauge boson particles.
hqbc.jpg
vqvxq.jpg
 
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Any QFT book, like Srednicki or Peskin & Schroeder
 
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Theoretical physicist C.N. Yang died at the age of 103 years on October 18, 2025. He is the Yang in Yang-Mills theory, which he and his collaborators devised in 1953, which is a generic quantum field theory that is used by scientists to study amplitudes (i.e. vector probabilities) that are foundational in all Standard Model processes and most quantum gravity theories. He also won a Nobel prize in 1957 for his work on CP violation. (I didn't see the post in General Discussions at PF on his...

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