Unitary clothing transformations yield momentum-independent second-order fermion mass shifts due to vector boson exchange without mass counterterms in the S-matrix for nucleon-rho and electron-photon models.
Alex, our proof of the momentum independence of the nucleon mass shift (cf., integral (75) in Ref. [ 22]) took much more effort than yours [ 6]
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Clothed particle representation in quantum field theory: Fermion mass renormalization due to vector boson exchange
Unitary clothing transformations yield momentum-independent second-order fermion mass shifts due to vector boson exchange without mass counterterms in the S-matrix for nucleon-rho and electron-photon models.