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Journal of High Energy Physics | Vol.2019, Issue.4 | | Pages

Journal of High Energy Physics

On structure constants with two spinning twist-two operators

Marco S. Bianchi  
Abstract

Abstract I 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.

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On structure constants with two spinning twist-two operators

Abstract I 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.

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Marco S. Bianchi,.On structure constants with two spinning twist-two operators. 2019 (4),.

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