Clearly you would not want to hyphenate "wind mass" under any circumstances, since the larger phrase does not involve "loss" of "wind mass," but "loss of mass" due to "tidally enhanced wind." But in my view, the phrase "tidally enhanced wind mass loss" is a bit too much of a mouthful for readers to make sense of easily in its compact, five-word form.
I think readers would be better off if they were presented instead with
loss of mass due to tidally enhanced wind
on first occurrence, and perhaps with
wind-caused mass loss
or
mass loss to wind
thereafter.
As Rasmus indicates in another answer, the general guideline in the Chicago Manual of Style, fifteenth edition (2003), for handling -ly + participle combinations is not to include a hyphen:
7.87 Adverbs ending in "ly." Compounds formed by an adverb ending in ly plus an adjective or participle (such as largely irrelevant or smartly dressed) are not hyphenated either before or after a noun, since ambiguity is virtually impossible.
So if you were following Chicago style advice, you wouldn't want to hyphenate "tidally enhanced wind"—especially when that phrase is broken out into a more manageable phrase by the wording "loss of mass due to tidally enhanced wind." In fact, with that wording you don't need any hyphens at all, since ambiguity (which hyphens are pressed into service to overcome) isn't a problem.