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Energy Correlators in Warped Geometries

Lorenzo Ricci, Raman Sundrum

TL;DR

The paper develops a holographic program to use energy correlators as probes of strongly coupled near-conformal sectors in warped geometries. Using in-in Witten diagrams in AdS5, it shows that ECs factorize at leading order in large-N and identifies how 1/N corrections generate angular correlations through the light-ray OPE. It then extends the analysis to RG flows away from exact AdS via irrelevant deformations and to IR-gapped RS1-like geometries, illustrating how ECs encode masses, dimensions, and confinement scales with partial robustness under deformation. The framework offers a path toward extracting fundamental CFT data and IR structure from energy-flow observables in BSM scenarios, with potential implications for collider phenomenology and Lorentzian holography.

Abstract

We study Energy Correlators as probes of strongly-coupled nearly-conformal field theories within their holographically dual descriptions, focusing on the important features that appear in realistic theories going beyond the standard model. In particular, we study warped geometries which asymptote to $\text{AdS}_5$, as well as IR-truncations dual to a 4D gap. Our correlators are computed by in-in type Witten perturbative diagrams, corresponding to a large-N expansion of the strong dynamics. We describe how this sets the stage for phenomenological applications for collider searches beyond the standard model as well as for new theoretical explorations in Lorentzian holography.

Energy Correlators in Warped Geometries

TL;DR

The paper develops a holographic program to use energy correlators as probes of strongly coupled near-conformal sectors in warped geometries. Using in-in Witten diagrams in AdS5, it shows that ECs factorize at leading order in large-N and identifies how 1/N corrections generate angular correlations through the light-ray OPE. It then extends the analysis to RG flows away from exact AdS via irrelevant deformations and to IR-gapped RS1-like geometries, illustrating how ECs encode masses, dimensions, and confinement scales with partial robustness under deformation. The framework offers a path toward extracting fundamental CFT data and IR structure from energy-flow observables in BSM scenarios, with potential implications for collider phenomenology and Lorentzian holography.

Abstract

We study Energy Correlators as probes of strongly-coupled nearly-conformal field theories within their holographically dual descriptions, focusing on the important features that appear in realistic theories going beyond the standard model. In particular, we study warped geometries which asymptote to , as well as IR-truncations dual to a 4D gap. Our correlators are computed by in-in type Witten perturbative diagrams, corresponding to a large-N expansion of the strong dynamics. We describe how this sets the stage for phenomenological applications for collider searches beyond the standard model as well as for new theoretical explorations in Lorentzian holography.
Paper Structure (8 sections, 92 equations, 6 figures, 1 table)

This paper contains 8 sections, 92 equations, 6 figures, 1 table.

Table of Contents

  1. Introduction
  2. Detectors and holography in $\text{AdS}$
  3. Lightning derivation: Classical Point Particle
  4. Second quantization
  5. $1/N$ corrections and the angular OPE
  6. Flowing towards the CFT
  7. Introducing a gap with an IR boundary (RS1)
  8. Outlook

Figures (6)

  • Figure 1: Penrose representation of Mikowski space, showing the two different contour of integration for detectors. The curved blue line represents the worldline of integration of a detector at finite distance from the central collision point (see \ref{['Eq:EnDetector']}). The red and blue straight lines represent the light-ray limit of detectors worldline applicable for gapless 4D theories (see \ref{['Eq:EnDetectorLC']}).
  • Figure 2: Holographic one-point EC for a classical Point-Particle in AdS.
  • Figure 3: Holographic two-point EC for a classical Point-Particle in AdS. We show that the two contributions in panels (b) and (c) vanish.
  • Figure 4: Cutting relation for the one-point EC discussed in the text. Here, $n^{\mu} =(1 , \mathbf{n})$.
  • Figure 5: Diagram corresponding to the matrix element in AdS one-particle state of the double-trace operator in the two-detector OPE of \ref{['Eq:OPE']}.
  • ...and 1 more figures