@misc{10481/59124, year = {2019}, month = {11}, url = {http://hdl.handle.net/10481/59124}, abstract = {We derive the conditions for matching high-energy renormalizable Quantum Field Theories onto low-energy nonrenormalizable ones by means of the FDR approach described in [1]. Our procedure works order-by-order in the loop expansion and avoids the addition of higher dimensional interactions into the non-renormalizable Lagrangian. To illustrate our strategy, we match the high-energy fermion-loop corrections computed in the complete electroweak theory onto the nonrenormalizable four-fermion Fermi model. As a result, the Fermi Lagrangian can be used without modifications to reproduce, at arbitrary loop orders and energies, the exact electroweak interactions between two massless fermion lines induced by one-fermion-loop resummed gauge boson propagators.}, organization = {I acknowledge the financial support of the MINECO project FPA2016-78220-C3-3-P and the hospitality of the CERN TH department during the completion of this work.}, publisher = {Elsevier BV}, title = {Matching high-energy electroweak fermion loops onto the Fermi theory without higher dimensional operators}, doi = {10.1016/j.nuclphysb.2019.114835}, author = {Pittau, Roberto}, }