Question:
Is it permitted for a man to shave his unibrow if it is disturbing and he is very embarrassed by it?
Answer:
If the purpose of trimming eyebrows is to avoid embarrassment, it is certainly permitted to do so.
If the purpose is for beautification, it is better to avoid the practice, though it is not prohibited if it is the norm in his area for men to trim their eyebrows.
Sources:
For more details please see here and here.