Three-loop universal structure constants in N=4 susy Yang-Mills theory

Abstract

We present a conjecture for the normalisation of the twist two conformal partial waves in a double OPE limit of the four-point function of stress tensor multiplets in N = 4 super Yang-Mills theory up to three loops. This contains information about the structure constants in the OPE. Like the twist two anomalous dimensions our result is expressed as a linear combination of harmonic sums whose argument is the spin of the exchanged operators. To arrive at the result we derive asymptotic expansions for the twist two part of two unknown three-loop integrals using the method of expansion by regions, complemented by some intuition gained on the example of the ladder integrals up to three loops.

23 pages, LaTeX

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Cited by in corpus (25)

• Conformal Regge theory
• Leading singularities and off-shell conformal integrals
• Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory
• Higher-spin correlators
• The superconformal bootstrap for structure constants
• Two-point Correlators in N=2 Gauge Theories
• Structure constants at wrapping order
• Tailoring Non-Compact Spin Chains
• A tree-level 3-point function in the su(3)-sector of planar N=4 SYM
• The role of leading twist operators in the Regge and Lorentzian OPE limits
• Novel construction and the monodromy relation for three-point functions at weak coupling
• String Bits and the Spin Vertex
• On DIS Wilson coefficients in N = 4 super Yang-Mills theory
• The Wilson Loop -- Large Spin OPE Dictionary
• Three-point correlators of twist-2 operators in N=4 SYM at Born approximation
• Modular interpolating functions for N=4 SYM
• A new representation for two- and three-point correlators of operators from sl(2) sector
• The property of maximal transcendentality: calculation of master integrals
• Higher-Point Integrands in N=4 super Yang-Mills Theory
• The property of maximal transcendentality: calculation of Feynman integrals
• Gluing Hexagons at Three Loops
• Second order splitting functions and infrared safe cross sections in $\mathcal{N}=4$ SYM theory
• The Curious Case of Leading Transcendentality: Three Point Form Factors
• Half-BPS half-BPS twist two at four loops in N=4 SYM
• About calculation of massless and massive Feynman integrals