Methods and apparatus utilize hybrid automatic repeat request (HARQ) transmissions and retransmissions that are usable on multiple carriers, i.e. joint HARQ processes. For example, a downlink (DL) shared channel transmission of a joint HARQ process is received on one of the carriers. A first part of an identity of the joint HARQ process is determined by using HARQ process identity data received on a shared control channel. A second part of the joint HARQ process identity is determined using additional information. The joint HARQ process identity is then determined by combining the first part and the second part. A WTRU is provided that is configured to receive the DL shared channel and to make the aforementioned determinations. A variety of other methods and apparatus configurations are disclosed for utilizing joint HARQ processes, in particular in the context of DC-HSDPA.