Being completely objective, I like long hair on women but it's definitely not a big enough factor for me to ever consider when approaching a girl. If you can rock shorter hair, then go for it =D My girlfriend recently halved the length of her hair and I still think she's cute as all hell, so hair isn't really that big of a factor.
It very much depends on the man. I like long hair. Brook Baldwin on CNN is absolutely stunning. But then there's Jamie Lee Curtis in her short bobs but an outrageously sexy woman. There's no single answer.
Statistically speaking, men prefer long hair compared to short. I'm not entirely sure why exactly, but perhaps its the mental image that long hair just correlates better with a woman/girl. Or perhaps that feeling of a woman on top kissing us, and the hair falling down. Either way, long hair has always been more preferred.
But for women it's still possible to look good with short hair, although harder!
Speaking for myself, I prefer long hair, but character and personality are more important, because everyone (men and women) will make assumptions based off appearances if they don't know the person well enough.
So if you ask a stranger what he prefers, he'll give a definite answer, but if you ask your boyfriend of 6 months which one he prefers, he means it when he says "doesn't matter"
It is not really in my jurisdiction to say, as I am female, myself.
From observations, I have heard of men who are attracted to tastefully shaved heads on women... but these are also the same men who have never been in a lasting relationship with one, nor have many even asked a woman with such a cut out on a date.
Personally, the length of my hair almost reaches my butt. I like it, and that is all that matters.
I don't think it's a myth, men do prefer longer hair because it's feminine and it gives an edge to a woman's overall looks. However, some women look better with short hair, so it depends on how you style it
It is definitely not a myth. The longer, the better. Most men I know are not attracted to hair shorter than the top of the shoulders. I mean, if the girl is really attractive otherwise they'll accept it but I've heard guys talking about girls who cut their hair into a bob and they said "She used to be so pretty but now she's nasty".