Matching high-energy electroweak fermion loops onto the Fermi theory without higher dimensional operators
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Pittau, R. (2020). Matching high-energy electroweak fermion loops onto the Fermi theory without higher dimensional operators. Nuclear Physics B, 950, 114835.
SponsorshipI 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.
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 . 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.