AWG # 3/0 copper.
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Because the white wire on a 120 volt circuit is the neutral wire that is connected to the silver screw on outlets and switches. It is connected to the neutral bar in the service panel.
You need to look at the regulations that apply in your country. If in doubt, use a neutral wire of the same size as the live wire or wires.
A 200 amp service panel with a 60 amp sub-panel.
#6 bare copper wire.
The white wire would go to the neutral bar. Just be sure of the shunt trip voltage required for the breaker and land the white wire on the appropriate neutral bar in the correct panel.