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Jul 14, 2021 at 16:57 comment added Abdelmalek Abdesselam Since the question mentions examples from $QED_4$, I would also add to the list the book "QED: A proof of renormalizability" by Feldman, Hurd, Rosen and Wright. If one wants more precise results, I suppose one needs to incorporate more features of the Standard Model. But then, things might not be rigorous anymore. AFAIK there is no rigorous proof of perturbative renormalizability of the full Standard Model.
Jun 24, 2021 at 22:33 vote accept Pedro
Jun 24, 2021 at 21:04 comment added Pedro Thank you for the references. The Steinmann book is particularly relevant since it includes a discussion of Compton scattering in the last section.
Jun 24, 2021 at 20:18 history answered Igor Khavkine CC BY-SA 4.0