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A precise comparison is made between the Dalitz decay$H\to\ell\bar{\ell}\gamma$ and the two body decay $H\to\gammaZ,Z\to\ell\bar{\ell}$ for electrons and for muons including experimental cutsappropriate for the ATLAS detector. The widths for these two processes differby 8% for electrons and 3% for muons. Given that there remain QCD radiativecorrections of this order that are not included, this suggests that theisolation of the Dalitz decay will be challenging.

Comparison of $H\to\ell\bar{\ell}\gamma$ and $H\to\gamma\,Z, Z\to\ell\bar{\ell}$ including the ATLAS cuts