Do you know if there is a simple way to restore the couplings of the effective theory with 4-fermions operators?
I mean, If I use an auxiliary field, I get a propagator (even if I would like to have a constant propagator ) then I have to correct manually each "auxiliary" propagator and also the factors of 2 coming from the matching… and also the correct sign for each propagator… and try to express the amplitude in terms of the coupling of the effective theory. Then, the probability to make a mistake is very high.
if you want to have a look, here https://www.dropbox.com/sh/hm77oyedcb3p055/AABzBlEPZvcPjAstjoclCR3ya?dl=0 you find the model and my notebook that is totally a mess.
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