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Abstract

We propose an approach to compute one-loop corrections to the four-point
amplitude in the higher spin gravities that are holographically dual to free
$O(N)$, $U(N)$ and $USp(N)$ vector models. We compute the double-particle cut
of one-loop diagrams by expressing them in terms of tree level four-point
amplitudes. We then discuss how the remaining contributions to the complete
one-loop diagram can be computed. With certain assumptions we find nontrivial
evidence for the shift in the identification of the bulk coupling constant and
$1/N$ in accordance with the previously established result for the vacuum
energy.