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The decay pi0 to gamma gamma to next to leading order in Chiral Perturbation Theory
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The two photon decay width of the neutral pion is analyzed within the combined framework of Chiral Perturbation Theory and the 1/Nc expansion up to order p^6 and p^4 times 1/Nc in the decay amplitude. The eta' is explicitly included in the analysis. It is found that the decay width is enhanced by about 4.5% due to the isospin-breaking induced mixing of the pure U(3) states. This effect, which is of leading order in the low energy expansion, is shown to persist nearly unchanged at next to leading order. The chief prediction for the width with its estimated uncertainty is 8.10+-0.08 eV. This prediction at the 1% level makes the upcomming precision measurement of the decay width even more urgent. Observations on the eta and eta' can also be made, especially about their mixing, which is shown to be significantly affected by next to leading order corrections.
Forward citations
Cited by 3 Pith papers
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Extracting the chiral anomaly from $e^+e^-\to 3\pi$
A dispersive fit to e+e−→3π data yields F3π = 33.1(1.7) GeV^-3, consistent with the chiral anomaly prediction at the 5% level.
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Dispersion relation for hadronic light-by-light scattering: $\eta$ and $\eta'$ poles
A dispersive analysis of the eta and eta' transition form factors yields data-driven pole contributions to the muon g-2 of 14.7(9) x 10^-11 and 13.5(7) x 10^-11.
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Combined Analysis of Lattice QCD and Experimental Data on the Pion Transition Form Factor
Feasibility study of combined LQCD and experimental data on pion TFF via modified z-expansion fit reports up to 3x uncertainty reduction in singly-virtual limit but only 1.5x improvement for the pion-pole g-2 contribution.
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