One of the problems for Broadbent's model of attention, but not Triesman's, is that

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Broadbent's model of attention suggests that information is filtered based on physical characteristics before being processed for meaning, which would imply that unattended information (like one's name in the unattended channel) should not be recognized. However, the fact that people often report hearing their names in the unattended channel contradicts this model. Treisman's model, on the other hand, allows for some unattended information to be processed at a lower level, which accommodates the phenomenon of hearing one's name in the unattended channel.

One of the Problems for Broadbent's Model of Attention, but Not