Blender Cycles - Transparency Issue

While working on a model, I found a problem with my rendered image.

As you can see in the picture above , the mesh outline for the eyebrow can be seen (despite it set to being transparent) and everything I’ve tried, I just can’t seem to fix that one thing. I’m not sure if it’s a render issue or if there’s something wrong with that particular texture.

Is there any idea why this is happening?

I’m using Blender Cycles and Version 2.78.

I’ve attached the .blend file with the textures packed.
Character1.blend (7.3 MB)