Positivity Bounds on Massive Vectors
arXiv:2402.13327 · doi:10.1007/JHEP12(2024)051
Abstract
In this paper, we explore positivity bounds for the effective field theory~(EFT) of a single weakly coupled massive vector field. The presence of both mass and spin makes the crossing properties of the amplitudes vastly complicated -- we address this by parametrizing the amplitudes as products of a polarization matrix and a vector of appropriately chosen functions with simpler crossing properties. The resulting framework involves sum rules and null constraints that allows us to constrain any combination of low-energy observables, such as EFT amplitudes. By varying the value of the vector mass over the cutoff scale, some of our bounds asymptote to the bounds obtained in the context of photons and massless scalars. This work paves the way for future applications to e.g. non-abelian massive vectors, glueballs and theories with spin larger than one.
Typos corrected
References in corpus (66)
- Massive Gravity
- Causality, Analyticity and an IR Obstruction to UV Completion
- Perturbative Quantum Gravity as a Double Copy of Gauge Theory
- Bounding scalar operator dimensions in 4D CFT
- Generalization of the Proca Action
- A systematic approach to generalisations of General Relativity and their cosmological implications
- Ghost free Massive Gravity in the Stückelberg language
- Cosmic Acceleration from Abelian Symmetry Breaking
- The EFT-Hedron
- Derivative self-interactions for a massive vector field
- Energy's and amplitudes' positivity
- New positivity bounds from full crossing symmetry
- Positivity Bounds for Scalar Theories
- Sharp Boundaries for the Swampland
- Extremal Effective Field Theories
- Generalized Proca action for an Abelian vector field
- Beyond Amplitudes' Positivity and the Fate of Massive Gravity
- Softness and Amplitudes' Positivity for Spinning Particles
- Amplitudes' Positivity, Weak Gravity Conjecture, and Modified Gravity
- Gravitational Effective Field Theory Islands, Low-Spin Dominance, and the Four-Graviton Amplitude
- UV complete me: Positivity Bounds for Particles with Spin
- Crossing Symmetric Dispersion Relations in QFTs
- Signs of Analyticity in Single-Field Inflation
- Infrared Consistency and the Weak Gravity Conjecture
- Consistency of the Standard Model Effective Field Theory
- Quantum Gravity Constraints from Unitarity and Analyticity
- Massive Galileon Positivity Bounds
- Positivity Bounds for Massive Spin-1 and Spin-2 Fields
- Causality constraints on corrections to Einstein gravity
- Positivity bounds on vector boson scattering at the LHC
- Glueball masses in the large N limit
- Convex Geometry Perspective to the (Standard Model) Effective Field Theory Space
- Positivity of Curvature-Squared Corrections in Gravity
- SU(N) gauge theories in 3+1 dimensions: glueball spectrum, string tensions and topology
- Into the EFThedron and UV constraints from IR consistency
- Falsifying Models of New Physics Via WW Scattering
- The Speed of Gravity
- On the 4D generalized Proca action for an Abelian vector field
- Positivity Constraints for Pseudo-linear Massive Spin-2 and Vector Galileons
- Positivity in the sky
- Rigorous Bounds on Light-by-Light Scattering
- Dispersion Relation Bounds for pi pi Scattering
- ZZ and Zgamma still haven't found what they are looking for
- Bounds on Amplitudes in Effective Theories with Massive Spinning Particles
- Crossing Symmetric Spinning S-matrix Bootstrap: EFT bounds
- Natural Selection Rules: New Positivity Bounds for Massive Spinning Particles
- Massive Spin-2 Scattering and Asymptotic Superluminality
- Positivity in Multi-Field EFTs
- Massive and Massless Spin-2 Scattering and Asymptotic Superluminality
- Positivity Constraints on Interacting Spin-2 Fields
- Causal Effective Field Theories
- Graviton partial waves and causality in higher dimensions
- Generalized positivity bounds on chiral perturbation theory
- Causality, Unitarity and Symmetry in Effective Field Theory
- Cornering Large- QCD with Positivity Bounds
- The Other Fermion Compositeness
- Triple crossing positivity bounds for multi-field theories
- SMEFTs living on the edge: determining the UV theories from positivity and extremality
- New class of Proca interactions
- Massive Gravity is not Positive
- To Positivity and Beyond, where Higgs-Dilaton Inflation has never gone before
- Positivity Constraints on Interacting Pseudo-Linear Spin-2 Fields
- On the (A)dS Decoupling Limits of Massive Gravity
- Positivity in the effective field theory of cosmological perturbations
- Universal Bounds for SU(3) Low Energy Constants
- Positivity bounds in vector theories