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0-15C is a big range. No single jacket will cover that.
0-10C
I always have a real rain jacket, could be a light one but a real one. Underneath a merino blend baselayer and then a fleece midlayer, with a full zip to vent, the fleece thickness depends on the average temp expected, could also be polartec alpha. You could also try a softshell, I had a quecha one that was brilliant, then if you're out for not long this will keep you warm if went. Insulated jackets get used from around 0C for me.
Also a face buff, covering your face adds a.lot.of warmth.
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I know I'm thinking of a broad range with the jacket... I will be layering up underneath so will be using less layers on the warmer end of the scale... a hood would be nice as well, but not essential... I'd go with another Arc'teryx as my Beta Sv is nothing short of amazing but I'm not gonna start riding in that
I'll be using it for general rides where it could rain white I'm out on the bike... and temp wise between 0-15 maybe... needs to have room for layers underneath. I can only ride at the weekend so there will be ample drying time.