We study the critical behavior of frustrated spin models with noncollinear
order, including stacked triangular antiferromagnets and helimagnets. For t
his purpose we compute the field-theoretic expansions at a fixed dimension
to six loops and determine their large-order behavior. For the physically r
elevant cases of two and three components, we show the existence of a stabl
e fixed point that corresponds to the conjectured chiral universality class
. This contradicts previous three-loop field-theoretical results but is in
agreement with experiments.