Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.02452 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909013986246656 |
|---|---|
| author | Dolan, Brian P. |
| author_facet | Dolan, Brian P. |
| contents | The renormalisation group running of fermion mixing matrices in the Standard model and beyond is studied. For the massless 1-loop running with three generations six fixed points are found. Their associated anomalous dimension matrices are calculated and the nature of each fixed point, whether attractive, repulsive or mixed, is determined. An argument is given that the fixed points found at 1-loop must remain fixed points to all orders in perturbation theory and even non-perturbatively, as they are associated with certain differential geometric properties of vector fields on the space of mixing matrices. With $N_g$ dark or sterile neutrinos there are at least $N_g!$ fixed points of the fermion mixing matrix. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_02452 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fixed points of the renormalisation group running of quark and fermion mixing matrices in the Standard Model and beyond Dolan, Brian P. High Energy Physics - Phenomenology High Energy Physics - Theory The renormalisation group running of fermion mixing matrices in the Standard model and beyond is studied. For the massless 1-loop running with three generations six fixed points are found. Their associated anomalous dimension matrices are calculated and the nature of each fixed point, whether attractive, repulsive or mixed, is determined. An argument is given that the fixed points found at 1-loop must remain fixed points to all orders in perturbation theory and even non-perturbatively, as they are associated with certain differential geometric properties of vector fields on the space of mixing matrices. With $N_g$ dark or sterile neutrinos there are at least $N_g!$ fixed points of the fermion mixing matrix. |
| title | Fixed points of the renormalisation group running of quark and fermion mixing matrices in the Standard Model and beyond |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2601.02452 |