=============== journal club meeting ===============
Date: Friday 22nd September 2023 11:00-12:00 (KST)
Place: Room 1423
- Talk Information
Newcomer talk :
Speaker : Dr. Yu-Hui Zheng
Title : Constructing the EFT operator basis and RGE via helicity formulism
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 f-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.In especial, j-basis is constructed by the inner product of the Poincare Clebsch-Gordan coefficients. We can see how they simplify the one-loop RGE calculation. Most of these are implemented in a Mathematica package: ABC4EFT (Amplitude Basis Construction for Effective Field Theories).
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