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We revisit the calculation of the width for the radiative decay of a $1^{+-}$heavy $Q \bar Q$ meson via the channel $1^{+-} \to 0^{-+} +\gamma$ in thecovariant light-front quark model. We carry out the reduction of thelight-front amplitude in the non-relativistic limit, explicitly computing theleading and next-to-leading order relativistic corrections. This shows theconsistency of the light-front approach with the non-relativistic formula forthis electric dipole transition. Furthermore, the theoretical uncertainty inthe predicted width is studied as a function of the inputs for the heavy quarkmass and wavefunction structure parameter. We analyze the specific decays$h_{c}(1P) \to \eta_{c}(1S) + \gamma$ and $h_{b}(1P) \to \eta_{b}(1S) +\gamma$. We compare our results with experimental data and with othertheoretical predictions from calculations based on non-relativistic models andtheir extensions to include relativistic effects, finding reasonable agreement.

Revisiting radiative decays of $1^{+-}$ heavy quarkonia in the covariant light-front approach