We study the asymptotic volume dependence of the heavy-heavy-lightthree-point functions in the $\mathcal{N}=4$ Super-Yang-Mills theory using thehexagon bootstrap approach, where the volume is the length of the heavyoperator. We extend the analysis of our previous short letter 1511.06199 to thegeneral case where the heavy operators can be in any rank one sector and thelight operator being a generic non-BPS operator. We prove the conjecture ofBajnok, Janik and Wereszczynski 1404.4556 up to leading finite sizecorrections.
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