A note on three-point functions of unprotected operators

Abstract

Given the recent progress in computing three-point functions in N=4 SYM via integrability, I provide here a novel direct calculation of some structure constants at weak coupling. The main focus is on correlators involving more than one unprotected operator, at two-loop order in the perturbative expansion.

17 pages

References in corpus (10)

• Algorithm FIRE -- Feynman Integral REduction
• FIRE5: a C++ implementation of Feynman Integral REduction
• Hexagonalization of Correlation Functions
• Handling Handles: Nonplanar Integrability in $\mathcal{N}=4$ Supersymmetric Yang-Mills Theory
• Colour-dressed hexagon tessellations for correlation functions and non-planar corrections
• All five-loop planar four-point functions of half-BPS operators in $\mathcal{N}=4$ SYM
• Konishi OPE coefficient at the five loop order
• Operator Mixing and the AdS/CFT correspondence
• ABJ(M) Chiral Primary Three-Point Function at Two-loops
• An Extremal Chiral Primary Three-Point Function at Two-loops in ABJ(M)

Cited by in corpus (5)

• Non-planar data of $\mathcal{N}=4$ SYM
• Higher-Point Integrands in N=4 super Yang-Mills Theory
• On three-point functions in ABJM and the latitude Wilson loop
• On structure constants with two spinning twist-two operators
• Two spinning Konishi operators at three loops