UV complete me: Positivity Bounds for Particles with Spin
arXiv:1706.02712 · doi:10.1007/JHEP03(2018)011
Abstract
For a low energy effective theory to admit a standard local, unitary, analytic and Lorentz-invariant UV completion, its scattering amplitudes must satisfy certain inequalities. While these bounds are known in the forward limit for real polarizations, any extension beyond this for particles with nonzero spin is subtle due to their non-trivial crossing relations. Using the transversity formalism (i.e. spin projections orthogonal to the scattering plane), in which the crossing relations become diagonal, these inequalities can be derived for 2-to-2 scattering between any pair of massive particles, for a complete set of polarizations at and away from the forward scattering limit. This provides a set of powerful criteria which can be used to restrict the parameter space of any effective field theory, often considerably more so than its forward limit subset alone.
29 pages + 6 appendices, 3 figures
References in corpus (8)
- Causality, Analyticity and an IR Obstruction to UV Completion
- Positivity Bounds for Scalar Theories
- Massive Galileon Positivity Bounds
- Positivity of Curvature-Squared Corrections in Gravity
- Positivity Constraints for Pseudo-linear Massive Spin-2 and Vector Galileons
- Dynamics of Unitarization by Classicalization
- Suppressing Quantum Fluctuations in Classicalization
- Analytical formula for numerical evaluations of the Wigner rotation matrices at high spins
Cited by in corpus (100)
- The EFT-Hedron
- Positive Moments for Scattering Amplitudes
- New positivity bounds from full crossing symmetry
- Effective Field Theory of Dark Energy: a Review
- Proof of the Weak Gravity Conjecture from Black Hole Entropy
- Beyond Amplitudes' Positivity and the Fate of Massive Gravity
- The Weak Gravity Conjecture: A Review
- Gravitational Effective Field Theory Islands, Low-Spin Dominance, and the Four-Graviton Amplitude
- Cosmological Cutting Rules
- Consistency of the Standard Model Effective Field Theory
- On the road to percent accuracy: nonlinear reaction of the matter power spectrum to dark energy and modified gravity
- Positivity Bounds for Massive Spin-1 and Spin-2 Fields
- Causality constraints on corrections to Einstein gravity
- From Locality and Unitarity to Cosmological Correlators
- 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
- Improved Positivity Bounds and Massive Gravity
- Shocks, Superconvergence, and a Stringy Equivalence Principle
- Positivity Bounds and the Massless Spin-2 Pole
- The Speed of Gravity
- QED positivity bounds
- S-matrix Bootstrap for Effective Field Theories: Massless Pions
- Positivity in the sky
- Causality in Curved Spacetimes: The Speed of Light & Gravity
- Rigorous Bounds on Light-by-Light Scattering
- Bounds on Amplitudes in Effective Theories with Massive Spinning Particles
- Reverse Bootstrapping: IR lessons for UV physics
- Crossing Symmetric Spinning S-matrix Bootstrap: EFT bounds
- Constraining power of asymptotic safety for scalar fields
- Natural Selection Rules: New Positivity Bounds for Massive Spinning Particles
- Constructing effective field theories via their harmonics
- Positivity Bounds on Dark Energy: When Matter Matters
- Massive Higher Spins: Effective Theory and Consistency
- Positivity in Multi-Field EFTs
- Bootstrapping Pions at Large
- Bounding Violations of the Weak Gravity Conjecture
- Positivity Constraints on Interacting Spin-2 Fields
- Causal Effective Field Theories
- Elastic positivity vs extremal positivity bounds in SMEFT: a case study in transversal electroweak gauge-boson scatterings
- Gravitational Regge bounds
- Generalized positivity bounds on chiral perturbation theory
- Relative entropy in scattering and the S-matrix bootstrap
- Causality Constraints on Black Holes beyond GR
- 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
- Asymptotic Safety: Swampland or Wonderland?
- Positivity Bounds without Boosts
- Heavy Spinning Particles from Signs of Primordial Non-Gaussianities: Beyond the Positivity Bounds
- New class of Proca interactions
- SMEFTs living on the edge: determining the UV theories from positivity and extremality
- Massive Gravity is not Positive
- Moments for positivity: using Drell-Yan data to test positivity bounds and reverse-engineer new physics
- To Positivity and Beyond, where Higgs-Dilaton Inflation has never gone before
- An Algebraic Classification of Exceptional EFTs
- Dispersion Formulas in QFTs, CFTs, and Holography
- Positivity Constraints on Interacting Pseudo-Linear Spin-2 Fields
- Unambiguously Testing Positivity at Lepton Colliders
- A cautionary case of casual causality
- Generalized elastic positivity bounds on interacting massive spin-2 theories
- A Universal Bound on the Strong Coupling Scale of a Gravitationally Coupled Massive Spin-2 Particle
- Positivity bounds from multiple vacua and their cosmological consequences
- Kaluza-Klein from Colour-Kinematics Duality for Massive Fields
- Constraints on a Gravitational Higgs Mechanism
- Swampland Conditions for Higher Derivative Couplings from CFT
- The SAGEX Review on Scattering Amplitudes, Chapter 7: Positive Geometry of Scattering Amplitudes
- Scalar Fields Near Compact Objects: Resummation versus UV Completion
- Spin-2 and the Weak Gravity Conjecture
- Positivity in the effective field theory of cosmological perturbations
- SM EFT effects in Vector-Boson Scattering at the LHC
- Bounds on photon scattering
- Spinning Sum Rules for the Dimension-Six SMEFT
- Four-fermion operators at dimension 6: dispersion relations and UV completions
- Positivity Bounds on parity-violating scalar-tensor EFTs
- Matter Coupling in Massive Gravity
- Origin of Neutrino Masses on the Convex Cone of Positivity Bounds
- UV Constraints on Massive Spinning Particles: Lessons from the Gravitino
- EFT of Interacting Spin-2 Fields
- Extension of positivity bounds to non-local theories: IR obstructions to Lorentz invariant UV completions
- Effective Field Theory Islands from Perturbative and Nonperturbative Four-Graviton Amplitudes
- Positivity bounds in vector theories
- Positivity Bounds on Massive Vectors
- Are theories really relevant to cosmology?
- Natural Boundaries for Scattering Amplitudes
- Positivity Bounds in Scalar Effective Field Theories at One-loop Level
- Gravitational Positivity for Phenomenologists: Dark Gauge Boson in the Swampland
- To Half--Be or Not To Be?
- Highly compact Proca stars with quartic self-interactions
- Bispectrum Islands
- Gravity with antisymmetric components
- Positivity bounds at one-loop level: the Higgs sector
- Lectures in Quantum Gravity
- Causality constraints on nonlinear supersymmetry
- Unitarity and unstable-particle scattering amplitudes
- Positivity bounds in scalar-QED EFT at one-loop level
- Causality, unitarity and stability in quantum gravity: a non-perturbative perspective
- Five-point partial waves, splitting constraints and hidden zeros
- Three point interaction of Dirac fermions with higher spin particles and discrete symmetries