Matching high-energy electroweak fermion loops onto the Fermi theory without higher dimensional operators Pittau, Roberto 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. 2020-01-24T11:07:09Z 2020-01-24T11:07:09Z 2019-11-11 info:eu-repo/semantics/article Pittau, R. (2020). Matching high-energy electroweak fermion loops onto the Fermi theory without higher dimensional operators. Nuclear Physics B, 950, 114835. http://hdl.handle.net/10481/59124 10.1016/j.nuclphysb.2019.114835 eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España Elsevier BV