Isospin symmetry breaking and gluon anomaly

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 [Formula: see text], momenta and quark masses. Particular attention is paid to the isospin symmetry breaking which is generated by means of [Formula: see text] and [Formula: see text] admixtures to the pion. It is shown that the gluon anomaly enhances the electromagnetic contribution to the [Formula: see text]-[Formula: see text] and [Formula: see text]-[Formula: see text] 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 [Formula: see text]-[Formula: see text] mixing angle is shown to be only about 3%.

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Publication Details

Journal
International Journal of Modern Physics A
Published
2025-12-30
DOI
https://doi.org/10.1142/s0217751x26500429
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
article
Field-Weighted Citation Impact
0.00
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article

Isospin symmetry breaking and gluon anomaly

A. A. Osipov
International Journal of Modern Physics A
Quantum Chromodynamics and Particle Interactions
article

Isospin symmetry breaking and gluon anomaly

A. A. Osipov
article en

Abstract

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 [Formula: see text], momenta and quark masses. Particular attention is paid to the isospin symmetry breaking which is generated by means of [Formula: see text] and [Formula: see text] admixtures to the pion. It is shown that the gluon anomaly enhances the electromagnetic contribution to the [Formula: see text]-[Formula: see text] and [Formula: see text]-[Formula: see text] 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 [Formula: see text]-[Formula: see text] mixing angle is shown to be only about 3%.

International Journal of Modern Physics A
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Quantum Chromodynamics and Particle Interactions
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