EFT matching from analyticity and unitarity

Abstract

We present a new on-shell method for the matching of ultraviolet models featuring massive states onto their massless effective field theory. We employ a dispersion relation in the space of complex momentum dilations to capture, in a single variable, the relevant analytic structure of scattering amplitudes at any multiplicity. Multi-variate complex analysis and crossing considerations are therefore avoided. Remarkably, no knowledge about the infrared effective field theory is required in dimensional regularisation. All matching information is extracted from the residues and discontinuities of the ultraviolet scattering amplitudes, which unitarity expresses in terms of lower-point and lower-loop results, respectively. This decomposition into simpler building blocks could deliver new insights in the structure of the effective field theories obtained from classes of ultraviolet scenarios and facilitate computations at higher loop orders.

11 pages + appendices, 2 figures; v2: match published version, improved text

References in corpus (63)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• Causality, Analyticity and an IR Obstruction to UV Completion
• Multiloop integrals in dimensional regularization made simple
• Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
• Direct extraction of one-loop integral coefficients
• The EFT-Hedron
• D-dimensional unitarity cut method
• Two-Loop g -> gg Splitting Amplitudes in QCD
• Complete Set of Dimension-8 Operators in the Standard Model Effective Field Theory
• Scattering Amplitudes, the Tail Effect, and Conservative Binary Dynamics at $O(G^4)$
• The Cut-Constructible Part of QCD Amplitudes
• Ultraviolet Properties of N = 8 Supergravity at Five Loops
• Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes
• Direct Extraction Of One Loop Rational Terms
• Six-Gluon Amplitudes in Planar $\mathcal{N}=4$ Super-Yang-Mills Theory at Six and Seven Loops
• The Universal One-Loop Effective Action
• Analytic Form of the Planar Two-Loop Five-Parton Scattering Amplitudes in QCD
• CoDEx: Wilson coefficient calculator connecting SMEFT to UV theory
• Helicity Selection Rules and Non-Interference for BSM Amplitudes
• Non-renormalization Theorems without Supersymmetry
• Loop Amplitudes in Pure Yang-Mills from Generalised Unitarity
• Integrating out heavy particles with functional methods: a simplified framework
• Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops
• A Proof of Concept for Matchete: An Automated Tool for Matching Effective Theories
• Covariant diagrams for one-loop matching
• On Triple-Cut of Scattering Amplitudes
• Mixed Heavy-Light Matching in the Universal One-Loop Effective Action
• On form factors in N=4 sym
• Effective Field Theory Amplitudes the On-Shell Way: Scalar and Vector Couplings to Gluons
• One-loop effective lagrangians after matching
• Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case
• The electroweak effective field theory from on-shell amplitudes
• Cuts from residues: the one-loop case
• The algebraic structure of cut Feynman integrals and the diagrammatic coaction
• Structure of two-loop SMEFT anomalous dimensions via on-shell methods
• Renormalization group coefficients and the S-matrix
• From multiple unitarity cuts to the coproduct of Feynman integrals
• Standard Model Effective Field Theory from On-shell Amplitudes
• Completing the scalar and fermionic Universal One-Loop Effective Action
• Constructing effective field theories via their harmonics
• The Rise of SMEFT On-shell Amplitudes
• Enumerating higher-dimensional operators with on-shell amplitudes
• Non-renormalization and operator mixing via on-shell methods
• The Fermionic Universal One-Loop Effective Action
• Constructing massive on-shell contact terms
• STrEAMlining EFT Matching
• Functional Prescription for EFT Matching
• SuperTracer: A Calculator of Functional Supertraces for One-Loop EFT Matching
• New Selection Rules from Angular Momentum Conservation
• Integrating Out New Fermions at One Loop
• Integrating out heavy fields in the path integral using the background-field method: general formalism
• Renormalization Group Evolution from On-shell SMEFT
• Standard Model Effective Field Theory up to Mass Dimension 12
• On-shell Higgsing for EFTs
• Building blocks of the flavourful SMEFT RG
• Constraints on anomalous dimensions from the positivity of the S-matrix
• Generalized Cuts of Feynman Integrals in Parameter Space
• Constructing on-shell operator basis for all masses and spins
• Constructing Generic Effective Field Theory for All Masses and Spins
• Higgs boson decay to two photons and the dispersion relations
• Primary Observables for Indirect Searches at Colliders
• Primary Observables for Top Quark Collider Signals
• Bases of massless EFTs via momentum twistors

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