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In this paper we consider a special kind of three-point functions of HHL typeat weak coupling in N=4 SYM theory and analyze its volume dependence. At strongcoupling this kind of three-point functions were studied recently by Bajnok,Janik and Wereszczynski [1]. The authors considered some cases of HHLcorrelator in the su(2) sector and, relying on their explicit results,formulated a conjecture about the form of the volume dependence of thesymmetric HHL structure constant to be valid at any coupling up to wrappingcorrections. In order to test this hypothesis we considered the HHL correlatorin su(2) sector at weak coupling and directly showed that, up to one loop, thefinite volume dependence has exactly the form proposed in [1]. Another side ofthe conjecture suggests that computation of the symmetric structure constant isequivalent to computing the corresponding set of infinite volume form factors,which can be extracted as the coefficients of finite volume expansion. In thissense, extracting appropriate coefficients from our result gives a predictionfor the corresponding infinite volume form factors.

Diagonal Form Factors and Heavy-Heavy-Light Three-Point Functions at Weak Coupling