The neurological correlates for beauty -- whether of faces, art, nature scenery, mathematical formulas, physics, etc. -- are not known. The multiple beauty-related responses by the human brain are hard to separate empirically. It's unlikely that all these beauty-related responses would share the same neural pathways. Besides, to take one example, not all researchers agree that the golden ratio explains facial beauty. For one thing, the ratio is not universal. It does not apply to all ethnic faces throughout the world. For another, many good lookers do not have facial features that fit within the golden ratio. Together this means that facial beauty is still an enigma. For more, check out Zaidel's book (2005) Neuropsychology of Art: Neurological, Cognitive, and Evolutionary Perspectives (Brain Damage, Behaviour, and Cognition) or this paper by E. Holland, Marquardt’s Phi Mask: Pitfalls of Relying on Fashion Models and the Golden Ratio to Describe a Beautiful Face.