I've had both and now I only own one tikka, chambered in 260. I have several brownings. The whole plastic aspect of the tikka just turns me off. They are too expensive for wha they're made of. I also had a stock split on my tikka 22-250 just in front of the mag well. I also have had two mag follower springs on a 270 wsm and a 243 pretty much quit working. I don't like how they have one action for all and fill in the mags with plastic on short actions. And the plastic bolt shroud has been my nemesis since day one. If they didn't have a rep for accuracy, I'd put in in the same column as 783's or mossberg.
I do like the triggers on tikka, easy to adjust and better than some sako. But my brownings are not fussy about ammo, and they'll shoot sub-moa to moa with most factory fodder. I do like the 4 bolt system for rings on the xbolt, rock solid in my opinion but expensive. I like the feel of the duratouch over the tikka stock. I don't like the recoil lug on tikka, very cheaply made, but sufficient.
I chose browning.