Conformal Colliders Meet the LHC

Abstract

The remarkably high energies of the Large Hadron Collider (LHC) have allowed for the first measurements of the shapes and scalings of multi-point correlators of energy flow operators, $⟨\Psi |\mathcal{E}({\vec{n}}_1)\mathcal{E}({\vec{n}}_2)\cdots \mathcal{E}({\vec{n}}_k)|\Psi ⟩$, providing new insights into the Lorentzian dynamics of quantum chromodynamics (QCD). In this Letter, we use recent advances in effective field theory to derive a rigorous factorization theorem for the light-ray density matrix, $\rho =|\Psi ⟩⟨\Psi |$, inside high transverse momentum jets at the LHC. Using the light-ray operator product expansion, the scaling behavior of multi-point correlators can be computed from the expectation value of the twist-2 spin-$J$ light-ray operators, ${\mathbb{O}}^{[J]}$, in this state, $\text{Tr}[\rho {\mathbb{O}}^{[J]}]$. We compute the light-ray density matrix at next-to-leading order, and combine this with results for the next-to-leading logarithmic scaling behavior of the correlators up to six-points, comparing with CMS Open Data. This theoretical accuracy allows us to resolve the quantum scaling dimensions of QCD light-ray operators inside jets at the LHC. Our factorization theorem for the light-ray density matrix at the LHC completes the link between recent developments in the study of energy correlators and LHC phenomenology, opening the door to a wide variety of precision jet substructure studies.

5 pages, 4 colorful figures of light-ray operator scaling

References in corpus (37)

• Jet substructure as a new Higgs search channel at the LHC
• Conformal collider physics: Energy and charge correlations
• Top-tagging: A Method for Identifying Boosted Hadronic Tops
• A practical Seedless Infrared-Safe Cone jet algorithm
• Factorization of e+e- Event Shape Distributions with Hadronic Final States in Soft Collinear Effective Theory
• The Collinear Limit of the Energy-Energy Correlator
• Second order QCD corrections to jet production at hadron colliders: the all-gluon contribution
• Next-to-Next-to-Leading Order Evolution of Non-Singlet Fragmentation Functions
• Precise predictions for dijet production at the LHC
• On Third-Order Timelike Splitting Functions and Top-Mediated Higgs Decay into Hadrons
• Analyzing N-point Energy Correlators Inside Jets with CMS Open Data
• Bounds for OPE coefficients on the Regge trajectory
• Parton Fragmentation within an Identified Jet at NNLL
• Quantum Interference in Jet Substructure from Spinning Gluons
• Colour and logarithmic accuracy in final-state parton showers
• Analytic Next-To-Leading Order Calculation of Energy-Energy Correlation in Gluon-Initiated Higgs Decays
• Bounds on OPE Coefficients from Interference Effects in the Conformal Collider
• Extending Precision Perturbative QCD with Track Functions
• Threshold and jet radius joint resummation for single-inclusive jet production
• Spin correlations in final-state parton showers and jet observables
• A New Paradigm for Precision Top Physics: Weighing the Top with Energy Correlators
• Polarized jet fragmentation functions
• Spinning Gluons from the QCD Light-Ray OPE
• 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
• B-hadron hadro-production in NNLO QCD: application to LHC $t\bar{t}$ events with leptonic decays
• Soft spin correlations in final-state parton showers
• Three-point energy correlators and the celestial block expansion
• On the light-ray algebra in conformal field theories
• Three-point energy correlator in $\mathcal{N}=4$ super Yang-Mills Theory
• Disentangling soft and collinear effects in QCD parton showers
• Generalizing event shapes: In search of lost collider time
• Non-Gaussianities in Collider Energy Flux
• The soft drop momentum sharing fraction $z_g$ beyond leading-logarithmic accuracy
• Anti-$k_T$ jet function at next-to-next-to-leading order

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• Quantum Computing for Energy Correlators
• Probing cold nuclear matter with energy correlators
• Giving wake to energy-energy correlators: Hydrodynamic response on the celestial sphere
• Effective Field Theory Factorization for Diffraction
• Observable Optimization for Precision Theory: Machine Learning Energy Correlators
• Apples to Apples in Jet Quenching: robustness of Machine Learning classification of quenched jets to Underlying Event contamination