Positivity Bounds for Massive Spin-1 and Spin-2 Fields

Abstract

We apply the recently developed positivity bounds for particles with spin, applied away from the forward limit, to the low energy effective theories of massive spin-1 and spin-2 theories. For spin-1 theories, we consider the generic Proca EFT which arises at low energies from a heavy Higgs mechanism, and the special case of a charged Galileon for which the EFT is reorganized by the Galileon symmetry. For spin-2, we consider generic ${\Lambda }_5$ massive gravity theories and the special `ghost-free' ${\Lambda }_3$ theories. Remarkably we find that at the level of 2-2 scattering, the positivity bounds applied to ${\Lambda }_5$ massive gravity theories impose the special tunings which generate the ${\Lambda }_3$ structure. For ${\Lambda }_3$ massive gravity theories, the island of positivity derived in the forward limit appears relatively stable against further bounds.

38 pages, 2 figures

References in corpus (6)

• Resummation of Massive Gravity
• Causality, Analyticity and an IR Obstruction to UV Completion
• Symmetries, Sum Rules and Constraints on Effective Field Theories
• Riding on irrelevant operators
• Black holes in vector-tensor theories
• Causal vs. Analytic constraints on anomalous quartic gauge couplings

Cited by in corpus (76)

• New positivity bounds from full crossing symmetry
• Extremal Effective Field Theories
• Consistency of the Standard Model Effective Field Theory
• Causality constraints on corrections to Einstein gravity
• Positivity bounds on vector boson scattering at the LHC
• Positivity constraints on aQGC: carving out the physical parameter space
• Convex Geometry Perspective to the (Standard Model) Effective Field Theory Space
• Positivity Bounds and the Massless Spin-2 Pole
• The Speed of Gravity
• QED positivity bounds
• Positivity in the sky
• Causality in Curved Spacetimes: The Speed of Light & Gravity
• Reverse Bootstrapping: IR lessons for UV physics
• Natural Selection Rules: New Positivity Bounds for Massive Spinning Particles
• The problem with Proca: ghost instabilities in self-interacting vector fields
• Positivity Bounds on Dark Energy: When Matter Matters
• Positivity in Multi-Field EFTs
• Massive Higher Spins: Effective Theory and Consistency
• Bootstrapping Pions at Large $N$
• Positivity Constraints on Interacting Spin-2 Fields
• Bounding Violations of the Weak Gravity Conjecture
• Causal Effective Field Theories
• Elastic positivity vs extremal positivity bounds in SMEFT: a case study in transversal electroweak gauge-boson scatterings
• Destabilization of black holes and stars by generalized Proca fields
• Gravitational Regge bounds
• Generalized positivity bounds on chiral perturbation theory
• Causality, Unitarity and Symmetry in Effective Field Theory
• Positivity in electron-positron scattering: testing the axiomatic quantum field theory principles and probing the existence of UV states
• Triple crossing positivity bounds for multi-field theories
• Dynamical Constraints on RG Flows and Cosmology
• Positivity Bounds without Boosts
• Asymptotic Safety: Swampland or Wonderland?
• Heavy Spinning Particles from Signs of Primordial Non-Gaussianities: Beyond the Positivity Bounds
• New class of Proca interactions
• Unitarization from Geometry
• SMEFTs living on the edge: determining the UV theories from positivity and extremality
• Massive Gravity is not Positive
• To Positivity and Beyond, where Higgs-Dilaton Inflation has never gone before
• Moments for positivity: using Drell-Yan data to test positivity bounds and reverse-engineer new physics
• A Lagrangian constraint analysis of first order classical field theories with an application to gravity
• Unambiguously Testing Positivity at Lepton Colliders
• Positivity Constraints on Interacting Pseudo-Linear Spin-2 Fields
• UV graviton scattering and positivity bounds from IR dispersion relations
• Generalized elastic positivity bounds on interacting massive spin-2 theories
• Positivity bounds from multiple vacua and their cosmological consequences
• Kaluza-Klein from Colour-Kinematics Duality for Massive Fields
• Constraints on a Gravitational Higgs Mechanism
• Scalar Fields Near Compact Objects: Resummation versus UV Completion
• Positivity in the effective field theory of cosmological perturbations
• Spin-2 and the Weak Gravity Conjecture
• Spinning Sum Rules for the Dimension-Six SMEFT
• Ghostfree quadratic curvature theories with massive spin-2 and spin-0 particles
• The EFT Bootstrap at Finite $M_{PL}$
• Positivity Bounds on parity-violating scalar-tensor EFTs
• UV Constraints on Massive Spinning Particles: Lessons from the Gravitino
• Extension of positivity bounds to non-local theories: IR obstructions to Lorentz invariant UV completions
• Positivity Bounds on Massive Vectors
• EFT of Interacting Spin-2 Fields
• Positivity bounds in vector theories
• Gauged Galileons
• Matter Couplings and Equivalence Principles for Soft Scalars
• Are $f(R,\mathrm{Matter})$ theories really relevant to cosmology?
• Massive AdS Supergravitons and Holography
• Supersymmetric Massive Gravity
• Positivity Bounds in Scalar Effective Field Theories at One-loop Level
• To Half--Be or Not To Be?
• Conformal/Poincaré Coset, Cosmology, and Descendants of Lovelock Terms
• Bispectrum Islands
• Proca-stinated Cosmology I: A N-body code for the vector Galileon
• Positivity bounds at one-loop level: the Higgs sector
• Positivity bounds in scalar-QED EFT at one-loop level
• Causality, unitarity and stability in quantum gravity: a non-perturbative perspective
• Higgs pair production in gluon fusion to higher orders in Higgs Effective Field Theory
• Symplectic quantization of multi-field Generalized Proca electrodynamics
• The Rise of Linear Trajectories
• The intrinsic pathology of self-interacting vector fields