# XIIIth Quark Confinement and the Hadron Spectrum

July 31, 2018 to August 6, 2018
Maynooth University
Europe/Dublin timezone

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

Aug 2, 2018, 3:20 PM
20m
Hall A (Arts Bldg.)

### Hall A

#### Arts Bldg.

Talk B: Light quarks

### Speaker

Dr Tomáš Husek (IFIC, Universitat de València-CSIC (ES))

### Description

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.

### Primary author

Dr Tomáš Husek (IFIC, Universitat de València-CSIC (ES))

### Co-authors

Karol Kampf (Charles University, Prague (CZ)) Jiří Novotný (Charles University, Prague (CZ)) Stefan Leupold (Uppsala University (SE))