Speaker
Renato Fonseca
(University of Granada)
Description
These are the minimum number of Lagrangian terms one needs to write SMEFT interactions of dimensions 5 to 15. They are close but not the same as the number of operators for n=1 flavors (2, 84, 30, 993, 560, 15456, 11962, 261485, 257378, 4614554, 5474170, ...). To my knowledge, up to now these numbers were unknown, although I tried to bound them in 1907.12584 [hep-ph]. Note also that the Murphy basis for SMEFT dimension 8 operators contains 1030 terms, 11 more than necessary. I will talk about this and how the computation of such numbers requires studying the permutation group.
