Spin-2 KK Mode Scattering in Models with a Massive Radion

Abstract

We calculate tree-level scattering amplitudes of massive spin-2 KK particles in models of stabilized compact extra-dimensional theories. Naively introducing a mass for the radion in an extra-dimensional model without accounting for the dynamics responsible for stabilizing the extra dimension upsets the cancellations relating the masses and couplings of the spin-2 modes, resulting in KK scattering amplitudes which grow like $E^4$ instead of $E^2$. We therefore investigate scattering of the Kaluza-Klein states in theories incorporating the Goldberger-Wise mechanism to stabilize the size of the extra dimension. We demonstrate that the cancellations occur only when one includes not only the massive radion, but also the massive spin-0 modes arising from the Goldberger-Wise scalar. We compute the revised sum rules which are satisfied in a stabilized model to ensure a consistent high-energy scattering amplitude. We introduce a simple model of a stabilized extra dimension which is a small deformation of a flat (toroidal) five-dimensional model, and demonstrate the cancellations in computations performed to leading nontrivial order in the deformation. These results are the first complete KK scattering computation in an extra-dimensional model with a stabilized extra dimension, with implications for the theory and phenomenology of these models.

arXiv comment33 pages, 1 figure, 2 tables

References in corpus (26)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Large N Limit of Superconformal Field Theories and Supergravity
• The Hierarchy Problem and New Dimensions at a Millimeter
• Large N Field Theories, String Theory and Gravity
• Modulus Stabilization with Bulk Fields
• Bounds on Universal Extra Dimensions
• Modeling the fifth dimension with scalars and gravity
• Theoretical Aspects of Massive Gravity
• Effective Field Theory for Massive Gravitons and Gravity in Theory Space
• Radion Dynamics and Electroweak Physics
• Phenomenology of a Stabilized Modulus
• On the Unification Problem in Physics
• Wave function of the radion in a brane world
• Gravity in the brane-world for two-branes model with stabilized modulus
• Constructing Gravitational Dimensions
• Discrete Gravitational Dimensions
• Exact identification of the radion and its coupling to the observable sector
• Massive Spin-2 Scattering Amplitudes in Extra-Dimensional Theories
• Unitarization from Geometry
• Physical degrees of freedom in stabilized brane world models
• Sum Rules for Massive Spin-2 Kaluza-Klein Elastic Scattering Amplitudes
• Scattering Amplitudes of Massive Spin-2 Kaluza-Klein States Grow Only as $\mathcal{O}(s)$
• The Light Radion Window
• Gravity on a Little Warped Space
• Cargese Lectures on Extra Dimensions

Cited by in corpus (9)

• Dark matter interacting via a massive spin-2 mediator in warped extra-dimensions
• Graviton-photon production with a massive spin-2 particle
• Scattering Amplitudes of Massive Spin-2 Kaluza-Klein States with Matter
• Symmetries, Spin-2 Scattering Amplitudes, and Equivalence theorems in Warped Five-Dimensional Gravitational Theories
• Limits on Kaluza-Klein Portal Dark Matter Models
• Contributions to the Muon $g-2$ from a Three-Form Field
• Structure of Massive Gauge/Gravity Scattering Amplitudes, Equivalence Theorems, and Extended Double-Copy with Compactified Warped Space
• Identifying the Quantum Properties of Hadronic Resonances using Machine Learning
• Scattering amplitudes in the Randall-Sundrum model with brane-localized curvature terms