Long PUCCH can carry higher payload than short PUCCH.
Higher payload is required to transmit SR/HARQ/CSI together, as well as in case of carier aggregation.
Long PUCCH have benefit that, it can increase UL coverage, this is achived by lower code rate of PUCCH.
With long PUCCH, REs for PUCCH increase and hence it can be transmitted with lower code rate, hence more robust.
Also, long PUCCH can support more RRC connected users, by means of different parameter setting related to modulation, code rate multiplexing etc.
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