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On structure constants with two spinning twist-two operators

Marco S. Bianchi

Journal of High Energy Physics · 2019

doi:10.1007/jhep04(2019)059 (opens in a new tab)

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Abstract

A bstract I consider three-point functions of one protected and two unprotected twist-two operators ccwith spin in $$ \mathcal{N}=4 $$ 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.

Abstract licence: CC BY

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