Abstract
We study two kinematical limits, the Regge limit and the Lorentzian OPE limit, of the four-point function of the stress-tensor multiplet in Super Yang-Mills at weak coupling. We explain how both kinematical limits are controlled by the leading twist operators. We use the known expression of the four-point function up to three loops, to extract the pomeron residue at next-to-leading order. Using this data and the known form of pomeron spin up to next-to-leading order, we predict the behaviour of the four-point function in the Regge limit at higher loops. Specifically, we determine the leading log behaviour at any loop order and the next-to-leading log at four loops. Finally, we check the consistency of our results with conformal Regge theory. This leads us to predict the behaviour around J = 1 of the OPE coefficient of the spin J leading twist operator in the OPE of two chiral primary operators.
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Costa, M.S., Drummond, J., Gonçalves, V. et al. The role of leading twist operators in the Regge and Lorentzian OPE limits. J. High Energ. Phys. 2014, 94 (2014). https://doi.org/10.1007/JHEP04(2014)094
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DOI: https://doi.org/10.1007/JHEP04(2014)094