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On structure constants with two spinning twist-two operators

A bstractI consider three-point functions of one protected and two unprotected twist-two operators ccwith spin in N=4$$ \mathcal{N}=4 $$ SYM at weak coupling. At one loop I formulate an empiric… Click to show full abstract

A bstractI consider three-point functions of one protected and two unprotected twist-two operators ccwith spin in N=4$$ \mathcal{N}=4 $$ SYM at weak coupling. At one loop I formulate an empiric conjecture for the dependence of the corresponding structure constants on the spins of the operators. Using such an ansatz and some input from explicit perturbative results, I fix completely various infinite sets of one-loop structure constants of these three-point functions. Finally, I determine the two-loop corrections to the structure constants for a few fixed values of the spins of the operators.

Keywords: constants two; twist two; structure constants; structure; two operators

Journal Title: Journal of High Energy Physics
Year Published: 2019

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