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All three-loop four-point correlators of half-BPS operators in planar NN = 4 SYM.

Chicherin, Dmitry and Drummond, James and Heslop, Paul and Sokatchev, Emery (2016) 'All three-loop four-point correlators of half-BPS operators in planar NN = 4 SYM.', Journal of high energy physics., 2016 (08). 053.


We obtain the planar correlation function of four half-BPS operators of arbitrary weights, up to three loops. Our method exploits only elementary properties of the integrand of the planar correlator, such as its symmetries and singularity structure. This allows us to write down a general ansatz for the integrand. The coefficients in the ansatz are fixed by means of a powerful light-cone OPE relation between correlators with different weights. Our result is formulated in terms of a limited number of functions built from known one-, two- and three-loop conformal integrals. These results are useful for checking recent integrability predictions for the OPE structure constants.

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Publisher statement:Open Access, © The Authors 2016. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:09 July 2016
Date deposited:26 August 2016
Date of first online publication:08 August 2016
Date first made open access:26 August 2016

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