SMuK 2023 – scientific programme

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T: Fachverband Teilchenphysik

T 31: Theory Higgs, BMS

T 31.3: Talk

Tuesday, March 21, 2023, 17:30–17:45, HSZ/0201

Projecting composite operators onto a unique basis — Robert V. Harlander, •Jakob W. Linder, and Magnus C. Schaaf — 1Institute for Theoretical Particle Physics and Cosmology, RWTH Aachen, Aachen

The Standard Model effective field theory (SMEFT) describes the low-energy effects of possible high-energy theories in terms of Standard Model fields. In a top-down approach, the effective Lagrangian can be obtained by constructing the effective action using a functional matching procedure, for example. However, this yields a non-unique action in general.

To restore the desired uniqueness, an algorithm is developed to decompose any operator with arbitrary mass dimension into operators free of redundancies due to equations of motion, integration-by-part identities or internal symmetries. For this purpose, the operators are converted into a redundancy-free basis, which can be constructed automatically for arbitrary mass dimensions. In this talk, I will report on such a basis and ProSMEFTion, our implementation of the algorithm.