Yes. There is a great deal of research, in fact. What we know is that the media to which our children and adults are exposed profoundly affect attitudes over time. The American Psychological Association has published an excellent task force report on the sexualization of girls. You can download it from the Internet.
In the second edition in 2010—and the U.K. has a similar report—it talks about the sexualization of children and how, when you sexualize children, what happens to the children is that they begin to see their only value in their sexuality. The term that the APA uses is “sexual self-objectification”. It's “I see myself as an object. You can use me or abuse me. I don't really deserve your love, care, tenderness, etc.. I've come to objectify myself.” That is a public health issue that two different countries already have written specific large task force reports about.