29-31 October 2018
Hospedería Fonseca y hotel Abba Fonseca (Salamanca)
Europe/Madrid timezone

Radiative corrections in Dalitz decays of $\pi^0$, $\eta$ and $\eta^\prime$ mesons

29 Oct 2018, 16:00
Hospedería Fonseca y hotel Abba Fonseca (Salamanca)

Hospedería Fonseca y hotel Abba Fonseca (Salamanca)


Tomas Husek (IFIC)


We briefly summarize current experimental and theoretical results on the two important processes of the low-energy hadron physics involving neutral pions: the Dalitz decay of $\pi^0$ and the rare decay $\pi^0\to e^+e^-$. As novel results we present the complete set of radiative corrections to the Dalitz decays $\eta^{(\prime)}\to\ell^+\ell^-\gamma$ beyond the soft-photon approximation, i.e.\ over the whole range of the Dalitz plot and with no restrictions on the energy of a radiative photon. The corrections inevitably depend on the $\eta^{(\prime)}\to\gamma^*\gamma^{(*)}$ transition form factors. For the singly-virtual transition form factor appearing e.g.\ in the bremsstrahlung correction, recent dispersive calculations are used. For the one-photon-irreducible contribution at the one-loop level (for the doubly-virtual form factor), we use a vector-meson-dominance-inspired model while taking into account the $\eta$-$\eta^\prime$ mixing.

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