Generalizing event shapes: In search of lost collider time

Abstract

We introduce a new class of collider-type observables in conformal field theories which we call generalized event shapes. They are defined as matrix elements of light-ray operators that are sensitive to the longitudinal, or time-dependent, structure of the state produced in the collision. Generalized event shapes can be studied using both correlation functions and scattering amplitudes. They are infrared finite and smoothly transit over to the familiar event shapes. We compute them in planar $\mathcal{N}=4$ super-Yang-Mills theory at weak and strong coupling, and study their physical properties. We show that at strong coupling both the stringy and quantum-gravitational corrections to the energy-energy correlation exhibit longitudinal broadening that manifests itself through the presence of long-time tails in the energy flux measured by the detectors.

arXiv comment101 pages, 6 figures, a few typos fixed, an ancillary Mathematica file added

References in corpus (54)

• Conformal collider physics: Energy and charge correlations
• Conformal Four Point Functions and the Operator Product Expansion
• Notes on Some Entanglement Properties of Quantum Field Theory
• Writing CFT correlation functions as AdS scattering amplitudes
• Spinning Conformal Correlators
• The Uses of Conformal Symmetry in QCD
• Conformal Regge theory
• A Quantum Focussing Conjecture
• Power corrections to event shapes and factorization
• Light-ray operators in conformal field theory
• Averaged Null Energy Condition from Causality
• Modular Hamiltonians for Deformed Half-Spaces and the Averaged Null Energy Condition
• Proof of the Quantum Null Energy Condition
• Eikonal Approximation in AdS/CFT: Resumming the Gravitational Loop Expansion
• Gravitational S-matrix from CFT dispersion relations
• Local bulk S-matrix elements and CFT singularities
• Loop Corrections to Supergravity on $Ad{S}_5\times S^5$
• Eikonal Approximation in AdS/CFT: Conformal Partial Waves and Finite N Four-Point Functions
• Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions
• $\mathcal{N}=4$ Super-Yang-Mills Correlators at Strong Coupling from String Theory and Localization
• The Collinear Limit of the Energy-Energy Correlator
• Rethinking Jets with Energy Correlators: Tracks, Resummation and Analytic Continuation
• Quantum Gravity from Conformal Field Theory
• From correlation functions to event shapes
• Jets and Quantum Field Theory
• A General Proof of the Quantum Null Energy Condition
• Event shapes in N=4 super-Yang-Mills theory
• Energy-energy correlations in N=4 SYM
• Dispersive CFT Sum Rules
• 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
• Genus-2 Holographic Correlator on $Ad{S}_5\times S^5$ from Localization
• A tale of two exponentiations in $\mathcal{N}=8$ supergravity
• A tale of two exponentiations in $\mathcal{N}=8$ supergravity at subleading level
• Eikonalization of Conformal Blocks
• Nonperturbative Mellin Amplitudes: Existence, Properties, Applications
• Energy-energy correlations at next-to-next-to-leading order
• Energy correlations in the end-point region
• Crossing Symmetric Dispersion Relations for Mellin Amplitudes
• Power Corrections and Nonlocal Operators
• Large $p$ explorations. From SUGRA to big STRINGS in Mellin space
• On Form Factors in N=4 SYM Theory and Polytopes
• On the light-ray algebra in conformal field theories
• Light-ray operators, detectors and gravitational event shapes
• Distributions in CFT I. Cross-Ratio Space
• All loop structures in Supergravity Amplitudes on $Ad{S}_5\times S^5$ from CFT
• Bootstrapping correlation functions in N=4 SYM
• A Scattering Amplitude in Conformal Field Theory
• Non-planar data of $\mathcal{N}=4$ SYM
• Form factor recursion relations at loop level
• Exact scattering amplitudes in conformal fishnet theory
• New result on phase shift analysis
• Jet evolution from weak to strong coupling

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