  We report on a systematic study of scalar field three-point functions in
planar SU(N) N=4 super Yang-Mills theory. The motivation for this work is to
provide sufficient data for future conjectures on the higher-loop form of the
structure constants possibly involving integrability. For this we have computed
a sample of 70 structure constants at one-loop order involving primary
operators of up to and including length five built entirely from scalar fields.
We observe in all 17 cases occurring in our sample that the one-loop structure
constant of two protected chiral primary operators and one unprotected operator
is given by a simple linear function involving the anomalous scaling dimension
of the latter. Moreover, a similar simple one-loop formula is proven for the
three-point structure constants of the Konishi operator and two arbitrary
protected or un-protected operators. It is again determined by the anomalous
scaling dimensions of the operators involved.
