13th International Conference on the Exact Renormalization Group 2026 (ERG2026)

Fixed points of the renormalisation group flow the CKM and PMNS matrices : CP violation in the Standard Model and beyond

3 Sept 2026, 09:20

20m

Terrace Room (Bramber House)

Talk Parallel Session

Speaker

Prof. Brian Dolan (Dublin Institute for Advanced Studies)

Description

The RG flow of the CKM matrix in the Standard model will be presented and the fixed points found. There are six fixed points, associated with the elements of the symmetric group of three objects, $S_3$. A proof is given that these are fixed points to all orders in perturbation theory and even non-perturbatively. The analysis is equally applicable to the PMNS matrix in the leptonic sector, with three sterile right-handed Dirac neutrinos.