Light-front holographic radiative transition form factors for light mesons

Abstract

We predict the $\mathcal{V}\to \mathcal{P}\gamma$ decay widths and the $\mathcal{V}\to \mathcal{P}{\gamma }^{\ast }$ transition form factors, where $\mathcal{V}=(\rho ,\omega ,K^{\ast },\varphi )$ and $\mathcal{P}=(\pi ,K,\eta ,{\eta }^{\prime })$, using spin-improved holographic light-front wavefunctions for the mesons. We find excellent agreement with the available data for both the decay widths and the timelike transition form factors extracted from the leptonic conversion decays $\mathcal{V}\to \mathcal{P}{l}^{+}{l}^{-}$.

Comments: 20 pages, 5 figures; Revised version that specifies the differences between the holographic meson wave function and other models. References updated, results unchanged. Accepted by PRD