Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.07191 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911247287451648 |
|---|---|
| author | Osipov, A. A. |
| author_facet | Osipov, A. A. |
| contents | The contribution of the electromagnetic interaction to the self-energy of pseudo-Goldstone bosons, as well as to the mixing angles and weak decay constants, is calculated in the first nonleading order in the simultaneous expansion in powers of $1/N_c$, momenta and quark masses. Particular attention is paid to the isospin symmetry breaking which is generated by means of $η$ and $η'$ admixtures to the pion. It is shown that the gluon anomaly enhances the electromagnetic contribution to the $π^0$-$η$ and $π^0$-$η'$ mixing angles, which facilitates the restoration of isospin symmetry in the spectrum of pseudo-Goldstone states at next-to-leading order. The contribution of the electromagnetic interaction to the $η$-$η'$ mixing angle is shown to be only about 3\%. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_07191 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Isospin symmetry breaking and gluon anomaly Osipov, A. A. High Energy Physics - Phenomenology The contribution of the electromagnetic interaction to the self-energy of pseudo-Goldstone bosons, as well as to the mixing angles and weak decay constants, is calculated in the first nonleading order in the simultaneous expansion in powers of $1/N_c$, momenta and quark masses. Particular attention is paid to the isospin symmetry breaking which is generated by means of $η$ and $η'$ admixtures to the pion. It is shown that the gluon anomaly enhances the electromagnetic contribution to the $π^0$-$η$ and $π^0$-$η'$ mixing angles, which facilitates the restoration of isospin symmetry in the spectrum of pseudo-Goldstone states at next-to-leading order. The contribution of the electromagnetic interaction to the $η$-$η'$ mixing angle is shown to be only about 3\%. |
| title | Isospin symmetry breaking and gluon anomaly |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2509.07191 |