The role of leading twist operators in the Regge and Lorentzian OPE limits

Abstract

We study two kinematical limits, the Regge limit and the Lorentzian OPE limit, of the four-point function of the stress-tensor multiplet in Super Yang-Mills at weak coupling. We explain how both kinematical limits are controlled by the leading twist operators. We use the known expression of the four-point function up to three loops, to extract the pomeron residue at next-to-leading order. Using this data and the known form of pomeron spin up to next-to-leading order, we predict the behaviour of the four-point function in the Regge limit at higher loops. Specifically, we determine the leading log behaviour at any loop order and the next-to-leading log at four loops. Finally, we check the consistency of our results with conformal Regge theory. This leads us to predict the behaviour around $J=1$ of the OPE coefficient of the spin $J$ leading twist operator in the OPE of two chiral primary operators.

22+14 pages

References in corpus (9)

• The Pomeron and Gauge/String Duality
• An Operator Product Expansion for Polygonal null Wilson Loops
• Eikonal Approximation in AdS/CFT: Resumming the Gravitational Loop Expansion
• Eikonal Approximation in AdS/CFT: Conformal Partial Waves and Finite N Four-Point Functions
• Dressing and Wrapping
• Eikonal Methods in AdS/CFT: Regge Theory and Multi-Reggeon Exchange
• Analytic continuation of the Mellin moments of deep inelastic structure functions
• High Energy Scattering in the AdS/CFT Correspondence
• Three-loop universal structure constants in N=4 susy Yang-Mills theory

Cited by in corpus (18)

• Causality Constraints in Conformal Field Theory
• Bounding the Space of Holographic CFTs with Chaos
• Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory
• Four point function of $\mathcal{N}=4$ stress-tensor multiplet at strong coupling
• Adjoint BFKL at finite coupling: a short-cut from the collinear limit
• Spinning Mellin Bootstrap: Conformal Partial Waves, Crossing Kernels and Applications
• Dimensional Reduction for Conformal Blocks
• QCD Pomeron from AdS/CFT Quantum Spectral Curve
• Non-Abelian Binding Energies from the Lightcone Bootstrap
• Tailoring Non-Compact Spin Chains
• Probing Universalities in d>2 CFTs: from Black Holes to Shockwaves
• Black Holes and Conformal Regge Bootstrap
• ${\gamma }^{\ast }{\gamma }^{\ast }$ Cross Section at NLO and Properties of the BFKL Evolution at Higher Orders
• AdS/CFT Unitarity at Higher Loops: High-Energy String Scattering
• Higher-Point Integrands in N=4 super Yang-Mills Theory
• Diagonal Form Factors and Hexagon Form Factors II. Non-BPS Light Operator
• N=4 SYM Quantum Spectral Curve in BFKL regime
• Skewness Dependence of GPD / DVCS, Conformal OPE and AdS/CFT Correspondence II: a holographic model of GPD