Abstract
We report on a systematic perturbative study of three-point functions in planar SU(N) \( \mathcal{N} = {4} \) super Yang-Mills theory at the one-loop level involving scalar field operators up to length five. For this we have computed a sample of 40 structure constants involving primary operators of up to and including length five which are built entirely from scalar fields. A combinatorial dressing technique has been developed to promote tree-level correlators to one-loop level. In addition we have resolved the mixing up to the order \( g_{\text{YM}}^2 \) level of the operators involved, which amounts to mixings with bi-fermions, with bi-derivative insertions as well as self-mixing contributions in the scalar sector. This work supersedes a preprint by two of the authors from 2010 which had neglected the mixing contributions.
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ArXiv ePrint: 1201.0992
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Georgiou, G., Gili, V., Großardt, A. et al. Three-point functions in planar \( \mathcal{N} = {4} \) super Yang-Mills theory for scalar operators up to length five at the one-loop order. J. High Energ. Phys. 2012, 38 (2012). https://doi.org/10.1007/JHEP04(2012)038
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DOI: https://doi.org/10.1007/JHEP04(2012)038