Quark loop contribution to π^0 \to 4γ

Details Quark loop contribution to π^0 \to 4γ Quark loop contribution to π^0 \to 4γ

2003-11-06

arxiv.org/abs/hep-ph/0311086v3

Phys.Rev. D73 (2006) 054021

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 2 figures

Scientific paper

We find the contribution of constituent quark loop mechanism to the branching ratio B_{4\gamma} = \Gamma_{4\gamma}/\Gamma_{4\gamma} \sim 5.45 \cdot 10^{-16} for the reasonable choice of constituent quark mass m \sim 280 MeV. This result is in agreement with vector-dominance approach result obtained years ago. Thus the main contribution arises from QED mechanism \pi^0 \to \gamma (\gamma^*) \to \gamma (3\gamma) including light-light scattering block with electron loop. This contribution was investigated in paper of one of us and gave B_{4\gamma} \sim 2.6 \cdot 10^{-11}.

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