(well back to the main course of my thread )
there is still the Legendre transformation to carry out in order to get to the interaction Hamiltonian of interest and such involves the interaction of Higgs boson with the electrons
https://foxtrotpaparomeo.wordpress.com/2022/12/15/15122022-updatesfirst-order-calculations-of-the-probability-amplitude-for-higgs-boson-to-electron-positron-decay/
the lectures are compiled into videos
https://www.youtube.com/watch?v=IRDpW7QOyGw&list=PLhsb6tmzSpiwrZuDMyweABm7FShZu3YUv&index=1
so now, since it is an mwfsat day some things for qft and we have Notes from Prof. Sidney Coleman's Physics 253a: Quantum Field Theory, this is one of my main resource materials for self-refresher courses in qft
https://inspirehep.net/literature/941540