Positivity and partial wave unitarity bounds on ALP theories via amplitude methods

Abstract

We derive the complete set of partial wave unitarity bounds on the most general Axion-Like Particle (ALP) effective interactions up to dimension 8 in the limit of large center-of-mass energy. Exploiting a recently developed formalism based on spinor-helicity techniques, we discuss the unitarity bounds for $N\to M$ (with $N,M\ge 2$) scattering amplitudes that can be relevant for ALP searches at colliders or in a variety of rare processes. Moreover, we compute positivity bounds on ALP interactions, emphasizing their complementarity with partial wave unitarity bounds. As a byproduct, we show that our results can be used to infer new positivity constraints in the Standard Model Effective Field Theory.

arXiv comment26 pages + appendices, 11 figures, 3 tables

References in corpus (89)

• Dimension-Six Terms in the Standard Model Lagrangian
• Axion Cosmology
• Perturbative Gauge Theory As A String Theory In Twistor Space
• Theoretical Aspects of Massive Gravity
• Causality, Analyticity and an IR Obstruction to UV Completion
• The Low-Energy Frontier of Particle Physics
• New CAST Limit on the Axion-Photon Interaction
• A facility to Search for Hidden Particles at the CERN SPS: the SHiP physics case
• New experimental approaches in the search for axion-like particles
• Cosmological Relaxation of the Electroweak Scale
• The landscape of QCD axion models
• Collider Probes of Axion-Like Particles
• Dielectric Haloscopes: A New Way to Detect Axion Dark Matter
• Any Light Particle Search II -- Technical Design Report
• Resonant detection of axion mediated forces with Nuclear Magnetic Resonance
• Dimension-8 Operators in the Standard Model Effective Field Theory
• ALPtraum: ALP production in proton beam dump experiments
• New Exclusion Limits for the Search of Scalar and Pseudoscalar Axion-Like Particles from "Light Shining Through a Wall"
• Flavor probes of axion-like particles
• An Improved RF Cavity Search for Halo Axions
• The Axiflavon
• Sharp Boundaries for the Swampland
• Towards a new generation axion helioscope
• Beyond Amplitudes' Positivity and the Fate of Massive Gravity
• Softness and Amplitudes' Positivity for Spinning Particles
• Contributions of axion-like particles to lepton dipole moments
• Hunting for ALPs with Lepton Flavor Violation
• Searching for galactic axions through magnetized media: the QUAX proposal
• What is the scale of new physics behind the $B$-flavour anomalies?
• A Decommissioned LHC Model Magnet as an Axion Telescope
• Consistency of the Standard Model Effective Field Theory
• Causality constraints on corrections to Einstein gravity
• Consistency of the Chiral Pion-Pion Scattering Amplitudes with Axiomatic Constraints
• Flavor constraints on electroweak ALP couplings
• Convex Geometry Perspective to the (Standard Model) Effective Field Theory Space
• Improved Positivity Bounds and Massive Gravity
• Which EFT
• Non-Resonant Searches for Axion-Like Particles at the LHC
• Positivity Bounds and the Massless Spin-2 Pole
• Effective Field Theory Amplitudes the On-Shell Way: Scalar and Vector Couplings to Gluons
• The electroweak effective field theory from on-shell amplitudes
• QED positivity bounds
• Gravitational positivity bounds
• Double-Cut of Scattering Amplitudes and Stokes' Theorem
• Structure of two-loop SMEFT anomalous dimensions via on-shell methods
• Rigorous Bounds on Light-by-Light Scattering
• Renormalization group coefficients and the S-matrix
• ZZ and Zgamma still haven't found what they are looking for
• Unitarity Constraints on Dimension-Six Operators
• Unitarity Constraints on Anomalous Quartic Couplings
• Flavor Constraints from Unitarity and Analyticity
• Unitarity Constraints on Dimension-six Operators II: Including Fermionic Operators
• The Higgs Trilinear Coupling and the Scale of New Physics
• Positivity bounds in the Standard Model effective field theory beyond tree level
• Elastic positivity vs extremal positivity bounds in SMEFT: a case study in transversal electroweak gauge-boson scatterings
• New Selection Rules from Angular Momentum Conservation
• Renormalization Group Evolution from On-shell SMEFT
• Positivity bounds on Minimal Flavor Violation
• Positivity in electron-positron scattering: testing the axiomatic quantum field theory principles and probing the existence of UV states
• An Equivalent Gauge and the Equivalence Theorem
• SMEFTs living on the edge: determining the UV theories from positivity and extremality
• Moments for positivity: using Drell-Yan data to test positivity bounds and reverse-engineer new physics
• From Scattering Amplitudes to the Dilatation Generator in N=4 SYM
• Hunting for CP-violating axionlike particle interactions
• New Opportunities for Detecting Axion-Lepton Interactions
• Unitarity Constraints for New Physics Induced by dim-6 Operators
• Unambiguously Testing Positivity at Lepton Colliders
• On the IR/UV flavour connection in non-universal axion models
• Building blocks of the flavourful SMEFT RG
• Higgs Coupling Measurements and the Scale of New Physics
• Constraints on anomalous dimensions from the positivity of the S-matrix
• What is the scale of new physics behind the muon $g-2$?
• The Chiral Lagrangian of CP-Violating Axion-Like Particles
• Amplitude's positivity vs. subluminality: Causality and Unitarity Constraints on dimension 6 & 8 Gluonic operators in the SMEFT
• Covariantizing Phase Space
• Unitarity constraints on ALP interactions
• Constructing on-shell operator basis for all masses and spins
• Unitarity Bounds on Effective Field Theories at the LHC
• Anomalous Dimension of a General Effective Gauge Theory I: Bosonic Sector
• Anomalous Dimensions via on-shell Methods: Operator Mixing and Leading Mass Effects
• Positivity Bounds in Scalar Effective Field Theories at One-loop Level
• Renormalization of effective field theories via on-shell methods: the case of axion-like particles
• Independently Parameterised Momenta Variables and Monte Carlo IR Subtraction
• ALPs, the on-shell way
• Positivity Bounds on Higgs-Portal Dark Matter
• Positively Identifying HEFT or SMEFT
• High Energy Vector Boson Scattering in Four-Body Final States to Probe Higgs Cubic, Quartic, and HEFT interactions
• Amplitudes and partial wave unitarity bounds
• Positivity bounds in scalar-QED EFT at one-loop level