Event shapes in N=4 super-Yang-Mills theory

Abstract

We study event shapes in N=4 SYM describing the angular distribution of energy and R-charge in the final states created by the simplest half-BPS scalar operator. Applying the approach developed in the companion paper arXiv:1309.0769, we compute these observables using the correlation functions of certain components of the N=4 stress-tensor supermultiplet: the half-BPS operator itself, the R-symmetry current and the stress tensor. We present master formulas for the all-order event shapes as convolutions of the Mellin amplitude defining the correlation function of the half-BPS operators, with a coupling-independent kernel determined by the choice of the observable. We find remarkably simple relations between various event shapes following from N=4 superconformal symmetry. We perform thorough checks at leading order in the weak coupling expansion and show perfect agreement with the conventional calculations based on amplitude techniques. We extend our results to strong coupling using the correlation function of half-BPS operators obtained from the AdS/CFT correspondence.

52 pages, 6 figures; v2: typos corrected

References in corpus (3)

• D-independent representation of Conformal Field Theories in D dimensions via transformation to auxiliary Dual Resonance Models. Scalar amplitudes
• From correlation functions to event shapes
• Correlation functions of local composite operators from generalized unitarity

Cited by in corpus (62)

• Bootstrapping an NMHV amplitude through three loops
• The Collinear Limit of the Energy-Energy Correlator
• Rethinking Jets with Energy Correlators: Tracks, Resummation and Analytic Continuation
• From correlation functions to event shapes
• The Energy-Energy Correlation at Next-to-Leading Order in QCD, Analytically
• Analyzing N-point Energy Correlators Inside Jets with CMS Open Data
• Simplicity from Recoil: The Three-Loop Soft Function and Factorization for the Energy-Energy Correlation
• Shocks, Superconvergence, and a Stringy Equivalence Principle
• Quantum Interference in Jet Substructure from Spinning Gluons
• Four point function of $\mathcal{N}=4$ stress-tensor multiplet at strong coupling
• Nonperturbative Mellin Amplitudes: Existence, Properties, Applications
• The Transverse Energy-Energy Correlator in the Back-to-Back Limit
• Four-point correlation function of stress-energy tensors in N=4 superconformal theories
• Energy-energy correlations at next-to-next-to-leading order
• Energy correlations in the end-point region
• The Four Loop QCD Rapidity Anomalous Dimension
• Subleading Power Resummation of Rapidity Logarithms: The Energy-Energy Correlator in $\mathcal{N}=4$ SYM
• Extending Precision Perturbative QCD with Track Functions
• Cutting through form factors and cross sections of non-protected operators in N=4 SYM
• A New Paradigm for Precision Top Physics: Weighing the Top with Energy Correlators
• Hexagon Wilson Loop OPE and Harmonic Polylogarithms
• Spinning Gluons from the QCD Light-Ray OPE
• Three Point Energy Correlators in the Collinear Limit: Symmetries, Dualities and Analytic Results
• On super form factors of half-BPS operators in N=4 super Yang-Mills
• Celestial Blocks and Transverse Spin in the Three-Point Energy Correlator
• The Energy-Energy Correlation in the back-to-back limit at N${}^3$LO and N${}^3$LL${}^{\prime }$
• Energy-energy correlators in Deep Inelastic Scattering
• Renormalization Group Flows for Track Function Moments
• Measurement of energy correlators inside jets and determination of the strong coupling ${\alpha }_{\mathrm{S}}(m_{\mathrm{Z}})$
• Three-point energy correlators and the celestial block expansion
• Transverse-Energy-Energy Correlations in Deep Inelastic Scattering
• Conformal Colliders Meet the LHC
• Ultraviolet divergences and factorization for coordinate-space amplitudes
• On the light-ray algebra in conformal field theories
• Energy-energy correlation in hadronic Higgs decays: analytic results and phenomenology at NLO
• Three-point energy correlator in $\mathcal{N}=4$ super Yang-Mills Theory
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• Scaling violation in power corrections to energy correlators from the light-ray OPE
• Light-ray operators, detectors and gravitational event shapes
• Nonperturbative Effects in Energy Correlators: From Characterizing Confinement Transition to Improving ${\alpha }_s$ Extraction
• A Scattering Amplitude in Conformal Field Theory
• Probing Transverse Momentum Dependent Structures with Azimuthal Dependence of Energy Correlators
• Generalizing event shapes: In search of lost collider time
• From correlation functions to event shapes in QCD
• Non-Gaussianities in Collider Energy Flux
• Celestial Conformal Colliders
• Momentum space CFT correlators for Hamiltonian truncation
• Exploring Perturbative Conformal Field Theory in Mellin space
• Inclusive Production Through AdS/CFT
• Detector Operators for Celestial Symmetries
• Higher-Point Integrands in N=4 super Yang-Mills Theory
• Quantum Computing for Energy Correlators
• Wave scattering event shapes at high energies
• Probing cold nuclear matter with energy correlators
• Energy Correlators Beyond Angles
• Dihadron fragmentation framework for near-side energy-energy correlators
• Studying Quantum Field Theory
• Energy-Energy Correlator from the AdS Virasoro-Shapiro Amplitude
• Observable Optimization for Precision Theory: Machine Learning Energy Correlators
• On the Stress Tensor Light-ray Operator Algebra
• QCD Beyond Leading Power
• Energy Flow in Particle Collisions