2011/06/05 by A. Nehme, Nehme, A., S. Zein +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph
paper · pdf · doi:10.48550/arxiv.1106.0915
10 pages, 1 LaTeX figure
arxiv created 2011/06/05 · openalex publication_date 2011/06/05 · arxiv updated 2011/06/07 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
Sutherland's theorem dictates that the contribution of the electromagnetic interaction to the decay process (η→ 3π0) is neglected with respect to the one coming from the difference between the up and down quark masses. In the framework of chiral perturbation theory including virtual photons, we calculated the main diagram concerning the exchange of a virtual photon between two intermediate charged pions. The correction induced by this diagram on the slope parameter amounts to (17%) of the correction induced by the pure strong interaction at one-loop level. If this result is maintained when considering all the diagrams at the chiral order we are working, we can say without any doubt that Sutherland's theorem is strongly violated. As a direct consequence, any determination of light quark masses from the present decay should take into account the electromagnetic interaction.