We present new calculations of the differential decay rates for $Hto ell^+ell^- gamma$ with $ell=e$ or $mu$ in the Standard Model. The branching fractions and forward-backward asymmetries, defined in terms of the flight direction of the photon relative to the lepton momenta, depend on the cuts on energies and invariant masses of the final state particles. For typical choices of these cuts we find the branching ratios $B(Hto e bar e gamma)=5.8cdot 10^{-5}$ and $B(Hto mu bar mu gamma)=6.4cdot 10^{-5}$ and the forward-backward asymmetries $mathcal{A}^{(e)}_{text{FB}}=0.343$ and $mathcal{A}^{(mu)}_{text{FB}}=0.255$. We provide compact analytic expressions for the differential decay rates for the use in experimental analyses.
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