I don't know about the 'branches' you're talking about but if what you mean by 'new shoots' look like the pictures below, that's normal. Some of the buds that form on the upper portions of the crowns in the fall can be pretty big. These will be the first ones to take off next spring.
"Neil & I would've tweeted from the moon if we could have but I would prefer to tweet from Mars. Maybe by 2040" ~ @TheRealBuzz, Buzz Aldrin 11:20 PM - 04 Jan 13