For example, for uplink data arrival case, the UE could apply monitoring all control channels or corresponding control channel for scheduling numerology related to numerology information carried by SR transmission, while special event applies option 3 for monitoring specific control channel(s) associated with the special SR triggering event. In this case, SR transmission will indicate special event based on setting of multiple bits SR and/or which SR configuration is used.
As another example, the UE monitors control channels for uplink in uplink data arrival cases, and the UE monitors all control channels for a special SR triggering event case (e.g. sidelink BSR or retxBSR timer expiry or new control element).
For different special SR triggering events, the UE could also apply different options. For example, the UE could apply specific control monitoring for sidelink BSR case, and all control channels monitoring for retxBSR timer expiry case and corresponding scheduling control channel to information carried by SR for uplink data arrival case.
Moreover, regarding PDCCH monitoring period, one possibility is to keep monitoring control channel(s) responsible for scheduling numerology related to SR configuration(s) with triggered SR after SR of the SR configuration is transmitted and until SR of the SR configuration is cancelled (e.g. no pending SR for the SR configuration) or SRs of all SR configuration with triggered SR are cancelled (e.g. no pending SR in the UE). Another possibility is to monitor control channel(s) responsible for scheduling numerology related to a SR configuration with triggered SR within certain period (e.g. control by timer) after performing corresponding SR transmission.