Which "many studies"? If you mean the Kanazawa (2011) "study", that's obvious bullshit for pretty obvious reasons: He doesn't independently measure attractiveness at all. In the British sample, the attractiveness of the kids was rated by their teachers("At ages 7 and 11, the teacher of each NCDS respondent is asked to describe the child's physical appearance"), and in the US sample by the interviewers just after they'd administered the intelligence test ("At the conclusion of the in-home interview at each wave, the Add Health interviewer rates the respondent's physical attractiveness on a five-point ordinal scale"), and he doesn't have any independent ratings by strangers who've had no prior contact to the kids. The most natural interpretation of his results is thus that we tend to overrate the attractiveness of people we've taken a liking to for other reasons (for example, because we know they're intelligent); there may or may not be an effect in the reverse direction too, where teachers subconsciously devote more attention to pretty kids, creating a better learning environment for them. But nothing to suggest a biological basis for the correlation.
In short, he didn't find a correlation between measured intelligence and measured attractiveness, merely a correlation between measured intelligence and attractiveness
as rated by people who know and care about the kids' intelligence. If you don't see the difference, you're beyond help.
But there's a more recent and methodologically much sounder study that finds "
No relationship between intelligence and facial attractiveness in a large, genetically informative sample". I include the abstract below:
Mitchem et al. said:
Theories in both evolutionary and social psychology suggest that a positive correlation should exist between facial attractiveness and general intelligence, and several empirical observations appear to corroborate this expectation. Using highly reliable measures of facial attractiveness and IQ in a large sample of identical and fraternal twins and their siblings, we found no evidence for a phenotypic correlation between these traits. Likewise, neither the genetic nor the environmental latent factor correlations were statistically significant. We supplemented our analyses of new data with a simple meta-analysis that found evidence of publication bias among past studies of the relationship between facial attractiveness and intelligence. In view of these results, we suggest that previously published reports may have overestimated the strength of the relationship and that the theoretical bases for the predicted attractiveness–intelligence correlation may need to be reconsidered.