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- W2299767025 abstract "We derive the general counting rules for a quantum effective field theory (EFT) in $$mathsf {d}$$ dimensions. The rules are valid for strongly and weakly coupled theories, and they predict that all kinetic energy terms are canonically normalized. They determine the energy dependence of scattering cross sections in the range of validity of the EFT expansion. We show that the size of the cross sections is controlled by the $$Lambda $$ power counting of EFT, not by chiral counting, even for chiral perturbation theory ( $$chi $$ PT). The relation between $$Lambda $$ and f is generalized to $$mathsf {d}$$ dimensions. We show that the naive dimensional analysis $$4pi $$ counting is related to $$hbar $$ counting. The EFT counting rules are applied to $$chi $$ PT, low-energy weak interactions, Standard Model EFT and the non-trivial case of Higgs EFT." @default.
- W2299767025 created "2016-06-24" @default.
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- W2299767025 date "2016-09-01" @default.
- W2299767025 modified "2023-09-30" @default.
- W2299767025 title "Analysis of general power counting rules in effective field theory" @default.
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- W2299767025 doi "https://doi.org/10.1140/epjc/s10052-016-4332-1" @default.
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