The Standard Model flavor invariant ring: an independent Molien-Weyl computation confirming Bento-Silva-Trautner
Year: 2026
Type: preprint
Abstract: We recompute the Hilbert series of the SM quark-sector flavor invariant ring by the Molien-Weyl formula (torus constant-term + Weyl averaging), independently of the literature. For two 3x3 matrices under U(3): H(t) = (1-t^12)/((1-t)^2(1-t^2)^3(1-t^3)^4(1-t^4)(1-t^6)), i.e. 10 CP-even primary + 1 CP-odd secondary (Jarlskog) invariant. For the SM Yukawa sector H_Y(t) = (1-t^24)/((1-t^2)^3(1-t^4)^4(1-t^6)^5(1-t^8)(1-t^12)), Krull dimension 13. Agrees with Bento-Silva-Trautner (arXiv:2308.00019); adds the GUT dimension drop 19 -> 14 (SU(5)) -> 7 (SO(10)).
Author: Mitchell, Rob
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225460158