Massive Higher Spins: Effective Theory and Consistency

Abstract

We construct the effective field theory for a single massive higher-spin particle in flat spacetime. Positivity bounds of the S-matrix force the cutoff of the theory to be well below the naive strong-coupling scale, forbid any potential and make therefore higher-derivative operators important even at low energy. As interesting application, we discuss in detail the massive spin-3 theory and show that an extended Galileon-like symmetry of the longitudinal modes, even with spin, emerges at high energy.

arXiv comment22 pages, 2 figures and 2 appendices; v2 improved discussion, extra appendix and references added

References in corpus (40)

• Resummation of Massive Gravity
• Causality, Analyticity and an IR Obstruction to UV Completion
• Effective Field Theory for Massive Gravitons and Gravity in Theory Space
• Strong Interactions and Stability in the DGP Model
• Causality Constraints on Corrections to the Graviton Three-Point Coupling
• Cubic interaction vertices for massive and massless higher spin fields
• How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
• Energy's and amplitudes' positivity
• Beyond Amplitudes' Positivity and the Fate of Massive Gravity
• Softness and Amplitudes' Positivity for Spinning Particles
• Amplitudes' Positivity, Weak Gravity Conjecture, and Modified Gravity
• UV complete me: Positivity Bounds for Particles with Spin
• Massive Galileon Positivity Bounds
• Positivity Bounds for Massive Spin-1 and Spin-2 Fields
• Scattering Amplitudes
• Strings from Massive Higher Spins: The Asymptotic Uniqueness of the Veneziano Amplitude
• On the Inflationary Perturbations of Massive Higher-Spin Fields
• Positive Signs in Massive Gravity
• Patterns of Strong Coupling for LHC Searches
• Falsifying Models of New Physics Via WW Scattering
• Light Particles with Spin in Inflation
• Positivity Constraints for Pseudo-linear Massive Spin-2 and Vector Galileons
• ZZ and Zgamma still haven't found what they are looking for
• Scalar Field Theories with Polynomial Shift Symmetries
• Bounds on Amplitudes in Effective Theories with Massive Spinning Particles
• Aspects of Galileon Non-Renormalization
• More on La Grande Bouffe: towards higher spin symmetry breaking in AdS
• Theory of higher spin tensor currents and central charges
• A Model Independent Ultraviolet Cutoff for Theories with Charged Massive Higher Spin Fields
• A Bound on Massive Higher Spin Particles
• The $\hat{H}$-Parameter: An Oblique Higgs View
• The Other Fermion Compositeness
• Goldstones with Extended Shift Symmetries
• Strongly Interacting Light Dark Matter
• Detecting higher spin fields through statistical anisotropy in the CMB bispectrum
• The Last Gasp of Dark Matter Effective Theory
• A Universal Bound on the Strong Coupling Scale of a Gravitationally Coupled Massive Spin-2 Particle
• Eikonal Scattering and Asymptotic Superluminality of Massless Higher Spin Fields
• Old and New No Go Theorems on Interacting Massless Particles in Flat Space
• Higher Spin Theory - Part I

Cited by in corpus (36)

• Positive Moments for Scattering Amplitudes
• Consistency of the Standard Model Effective Field Theory
• Reverse Bootstrapping: IR lessons for UV physics
• Natural Selection Rules: New Positivity Bounds for Massive Spinning Particles
• Massless Positivity in Graviton Exchange
• Causal Effective Field Theories
• Cornering Large-$N_c$ QCD with Positivity Bounds
• Higher Spin Dark Matter
• Positivity Bounds without Boosts
• Massive Gravity is not Positive
• To Positivity and Beyond, where Higgs-Dilaton Inflation has never gone before
• Dark matter of any spin -- an effective field theory and applications
• The complete theory of Maxwell and Proca fields
• The Cosmological Phonon: Symmetries and Amplitudes on Sub-Horizon Scales
• UV graviton scattering and positivity bounds from IR dispersion relations
• Sum Rules in the Standard Model Effective Field Theory from Helicity Amplitudes
• On-shell effective theory for higher-spin dark matter
• Charting the Higgs self-coupling boundaries
• Positivity bounds from multiple vacua and their cosmological consequences
• Spinning Sum Rules for the Dimension-Six SMEFT
• Constructing on-shell operator basis for all masses and spins
• Closed Strings and Weak Gravity from Higher-Spin Causality
• A Species or Weak-Gravity Bound for Large $N$ Gauge Theories Coupled to Gravity
• UV Constraints on Massive Spinning Particles: Lessons from the Gravitino
• Non-Forward UV/IR Relations
• Higher-spin particles at high-energy colliders
• Positivity Bounds in Scalar Effective Field Theories at One-loop Level
• Massive Higher-Spin Multiplets and Asymptotic Freedom in Quantum Gravity
• Consistent actions for massive particles interacting with electromagnetism and gravity
• Lectures in Quantum Gravity
• Positivity bounds in scalar-QED EFT at one-loop level
• Strings from Almost Nothing
• On the origin of the holographic universe
• Improved BSM Sensitivity in Diboson Processes
• The IR-Side of Positivity Bounds
• The Rise of Linear Trajectories