Effective Field Theory in AdS: Continuum Regime, Soft Bombs, and IR Emergence

Abstract

We consider a scalar field in a slice of Lorentzian five-dimensional AdS at arbitrary energies. We show that the presence of bulk interactions separate the behavior of the theory into two different regimes: Kaluza--Klein and continuum. We determine the transition scale between these regimes and show that UV brane correlation functions are independent of IR brane-localized operators for four-momenta beyond this transition scale. The same bulk interactions that induce the transition also give rise to cascade decays. We study these cascade decays for the case of a cubic self-interaction in the continuum regime. We find that the cascade decay progresses slowly towards the IR region and gives rise to soft spherical final states, in accordance with former results from both gravity and CFT. We identify a recursion relation between integrated squared amplitudes of different leg numbers and thus evaluate the total rate. We find that cascade decays in the continuum regime are exponentially suppressed. This feature completes the picture of the IR brane as an emergent sector as seen from the UV brane. We briefly discuss consistency with the holographic dual description of glueballs and some implications for dark sector models.

27 pages, 3 figures; v4: Minor text improvements, references added

References in corpus (22)

• Linear Confinement and AdS/QCD
• Holography from Conformal Field Theory
• Conformal collider physics: Energy and charge correlations
• Exploring improved holographic theories for QCD: Part II
• Mimicking the QCD equation of state with a dual black hole
• Warped Gravitons at the LHC and Beyond
• Electroweak Breaking on a Soft Wall
• Dynamical Soft-Wall AdS/QCD
• Deep inelastic scattering off a N=4 SYM plasma at strong coupling
• Why Unparticle Models with Mass Gaps are Examples of Hidden Valleys
• Jets in strongly-coupled N = 4 super Yang-Mills theory
• The Soft-Wall Standard Model
• Suppressing Electroweak Precision Observables in 5D Warped Models
• Introduction to AdS-CFT
• Unitarity Methods in AdS/CFT
• The AdS/QCD Correspondence: Still Undelivered
• Low-Energy Signals from Kinetic Mixing with a Warped Abelian Hidden Sector
• Low-Energy Probes of a Warped Extra Dimension
• Jet fragmentation and gauge/string duality
• Opacity from Loops in AdS
• Thermal hadron spectrum in $e^{+}{e}^{-}$ annihilation from gauge/string duality
• From Soft Walls to Infrared Branes

Cited by in corpus (14)

• Perturbative benchmark models for a dark shower search program
• Unsupervised Hadronic SUEP at the LHC
• Continuum-Mediated Self-Interacting Dark Matter
• Opacity from Loops in AdS
• Searching for Elusive Dark Sectors with Terrestrial and Celestial Observations
• On Continuum Effective Field Theories, Gravity and Holography
• Cosmological Dark Matter from a Bulk Black Hole
• Dark Sector Glueballs at the LHC
• Forecasting dark showers at Belle II
• Spheres To Jets: Tuning Event Shapes with 5d Simplified Models
• Search for soft unclustered energy patterns in proton-proton collisions at 13 TeV
• Relative scale separation in orbifolds of $S^2$ and $S^5$
• Holography of Broken U(1) Symmetry
• Theory, phenomenology, and experimental avenues for dark showers: a Snowmass 2021 report