Diagonal form factors and hexagon form factors II. Non-BPS light operator

We study the asymptotic volume dependence of the heavy-heavy-light three-point functions in the N=4 Super-Yang-Mills theory using the hexagon bootstrap approach, where the volume is the length of the heavy operator. We extend the analysis of our previous short letter [1] to the general case where the heavy operators can be in any rank one sector and the light operator being a generic non-BPS operator. We prove the conjecture of Bajnok, Janik and Wereszczynski [2] up to leading finite size corrections.