Theoretical analysis of the $\gamma \gamma \to {\pi }^0\eta$ process

Abstract

We present a theoretical study of the $\gamma \gamma \to \pi \eta$ process from the threshold up to 1.4 GeV in the $\pi \eta$ invariant mass. For the s-wave $a_0(980)$ resonance state we adopt a dispersive formalism using a coupled-channel Omnès representation, while the d-wave $a_2(1320)$ state is described as a Breit-Wigner resonance. An analytic continuation to the $a_0(980)$ pole position allows us to extract its two-photon decay width as ${\Gamma }_{a_0\to \gamma \gamma }=0.27(4)$ keV.

arXiv comment10 pages, 7 figures

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• Dispersive analysis of the Primakoff reaction $\gamma K\to K\pi$
• The semileptonic decays ${\eta }^{(\prime )}\to {\pi }^0{\ell }^{+}{\ell }^{-}$ and ${\eta }^{\prime }\to \eta {\ell }^{+}{\ell }^{-}$ in the standard model
• Theoretical analysis of the $\gamma {\gamma }^{(\ast )}\to {\pi }^0\eta$ process
• The role of charged exotic states in $e^{+}{e}^{-}\to \psi (2S){\pi }^{+}{\pi }^{-}$
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• Prospects for ${\gamma }^{\star }{\gamma }^{\star }\to \pi \pi$ via lattice QCD
• Sensitivity of the ${\eta }^{(\prime )}\to {\pi }^0\gamma \gamma$ and ${\eta }^{\prime }\to \eta \gamma \gamma$ decays to a sub-GeV leptophobic $U(1{)}_B$ boson
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