I like both. I personally would likely go with Tikka. I guess the first question is what are you going to use it for. Hunting, Target, Competitions? I like the boss for shooting for tight accuracy. Can tune it nicely. Some don' t like it at all.
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Lifes to short to drink warm beer!
I personally have a Browning A-Bolt Composite Stalker in .308 Win with a BOSS. 4.5-14 Leupold. It' s a track driver. Mild recoil, good performance on game. I haven' t bought a Tikka yet, but my buddy had one in .25-06, and it also shoots very well. They are both excellent rifles, and I would not hesitate to buy either based on what I have seen.
Tikka. Guarenteed to shoot 1" at 100 yards (Browning doesn' t guarentee) plus action is the best I' ve ever seen. Triggers are about the same for both. I sold my !A-bolt this summer and bought a Tikka. Very happy that I did.