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10.01.2024 / 14:30 - 16:30 / Hamburg, SR2, building 2a
Theory SeminarHilbert series for covariants and their applications to Minimal Flavor Violation
Pablo Quilez Lasanta (DESY)
In this talk, we present a novel application in particle physics of the Hilbert series method to enumerate group covariants, extending beyond the traditional focus on group invariants. We find that, in many cases, the number of independent covariants transforming under a given representation reaches its maximum value, the dimension of the group covariant representation.When this happens, we say that there is a rank saturation. We apply this technology to revisit the hypothesis of Minimal Flavor Violation in constructing Effective Field Theories beyond the Standard Model. We find that rank saturation is guaranteed in this case, leading to the important consequence that the MFV symmetry principle does not impose any restriction on the EFT, i.e. MFV SMEFT = SMEFT.
More Information: https://indico.desy.de/event/43050/
