Conformal collider physics: Energy and charge correlations

Abstract

We study observables in a conformal field theory which are very closely related to the ones used to describe hadronic events at colliders. We focus on the correlation functions of the energies deposited on calorimeters placed at a large distance from the collision. We consider initial states produced by an operator insertion and we study some general properties of the energy correlation functions for conformal field theories. We argue that the small angle singularities of energy correlation functions are controlled by the twist of non-local light-ray operators with a definite spin. We relate the charge two point function to a particular moment of the parton distribution functions appearing in deep inelastic scattering. The one point energy correlation functions are characterized by a few numbers. For $\mathcal{N}=1$ superconformal theories the one point function for states created by the R-current or the stress tensor are determined by the two parameters $a$ and $c$ characterizing the conformal anomaly. Demanding that the measured energies are positive we get bounds on $a/c$. We also give a prescription for computing the energy and charge correlation functions in theories that have a gravity dual. The prescription amounts to probing the falling string state as it crosses the $AdS$ horizon with gravitational shock waves. In the leading, two derivative, gravity approximation the energy is uniformly distributed on the sphere at infinity, with no fluctuations. We compute the stringy corrections and we show that they lead to small, non-gaussian, fluctuations in the energy distribution. Corrections to the one point functions or antenna patterns are related to higher derivative corrections in the bulk.

73 pages, 8 figures; v2: minor changes and added references; v3: more references added

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• Graviton multi-point functions at the AdS boundary
• Bound of Casimir Effect by Holography
• Quantum corrections to screening at strong coupling
• A Surprising Similarity Between Holographic CFTs and a Free Fermion in $(2+1)$ Dimensions
• Dihadron fragmentation framework for near-side energy-energy correlators
• Counterterms for Static Lovelock Solutions
• Quantum null energy condition in quenched 2d CFTs
• Entanglement Entropy and Conformal Collider Physics in 2D CFTs
• ANEC on stress-tensor states in perturbative $\lambda {\varphi }^4$ theory
• Thermal modifications of mesons and energy-energy correlators from real-time simulations of a $U(1)$ lattice gauge theory
• Graviton multi-point amplitudes for higher-derivative gravity in anti-de Sitter space
• Observable Optimization for Precision Theory: Machine Learning Energy Correlators
• $N$-point functions of strongly coupled fluids dual to generalized higher-derivative theories of gravity
• Explicit Entropic Proofs of Irreversibility Theorems for Holographic RG Flows
• Exploring non-perturbative effects on quasi-topological black hole thermodynamics
• Energy-Energy Correlator from the AdS Virasoro-Shapiro Amplitude
• On the Stress Tensor Light-ray Operator Algebra
• The CFT Distance Conjecture and Tensionless String Limits in $\mathcal{N}=2$ Quiver Gauge Theories
• Is the EMI model a QFT? An inquiry on the space of allowed entropy functions
• Information Theoretic Inequalities as Bounds in Superconformal Field Theory
• Supersymmetric zeta functions and determinants
• Search for soft unclustered energy patterns produced in association with a W or Z boson in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Three-point current correlation functions as probes of Effective Conformal Theories
• Classification of Invariant Differential Operators for Non-Compact Lie Algebras via Parabolic Relations
• Parton saturation at strong coupling from AdS/CFT
• Introduction to the special issue dedicated to Michael J. Duff FRS on the occasion of his 70th birthday
• Conformal gauge theory of vector-spinors and spin-3/2 particles
• A Field Guide to Event-Shape Observables Using Optimal Transport
• Holographic Conformal Anomaly and a-Theorem in 5D Scalar-Tensor Theories from Heterotic Strings
• Theory, phenomenology, and experimental avenues for dark showers: a Snowmass 2021 report
• Coordinate light-cone-ordered perturbation theory
• A Large-$N$ Expansion for Minimum Bias
• Fermion Dipole Moment and Holography
• Asymptotic safety guaranteed for strongly coupled gauge theories