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• W4225983602 abstract "We describe a general procedure to construct the independent and complete operator bases for generic Lorentz invariant effective field theories, given any kind of gauge symmetry and field content, up to any mass dimension. By considering the operator as contact on-shell amplitude, the so-called amplitude operator correspondence, we provide a unified construction of the Lorentz and gauge and flavor structures by Young Tableau tensor. Several bases are constructed to emphasize different aspects: independence (y-basis and m-basis), repeated fields with flavors (p-basis), and conserved quantum numbers (j-basis). We also provide new algorithms for finding the m-basis by defining inner products for group factors and the p-basis by constructing the matrix representations of the Young symmetrizers from group generators. The on-shell amplitude basis gives us a systematic way to convert any operator into such basis, so that the conversions between any other operator bases can be easily done by linear algebra. All of these are implemented in a Mathematica package: ABC4EFT (Amplitude Basis Construction for Effective Field Theories)." @default.
• W4225983602 created "2022-05-05" @default.
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• W4225983602 date "2022-04-26" @default.
• W4225983602 modified "2023-09-28" @default.
• W4225983602 title "Operators for generic effective field theory at any dimension: on-shell amplitude basis construction" @default.
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• W4225983602 doi "https://doi.org/10.1007/jhep04(2022)140" @default.
• W4225983602 hasPublicationYear "2022" @default.
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