The EFT Bootstrap at Finite
arXiv:2501.18465 · doi:10.1007/JHEP06(2025)209
Abstract
We explore the impact of loop effects on positivity in effective field theories emerging in the infrared from unitary and causal microscopic dynamics. Focusing on massless particles coupled to gravity, we address the treatment of forward-limit divergences from loop discontinuities and establish necessary conditions for maintaining computational control in perturbation theory. While loop effects remain small, ensuring consistency in our approach leads to a significant impact on bounds, even at tree level.
38 pages, 4 appendices, 15 figures
References in corpus (50)
- Causality, Analyticity and an IR Obstruction to UV Completion
- The Strongly-Interacting Light Higgs
- LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
- Scalar one-loop integrals for QCD
- Infrared singularities of scattering amplitudes in perturbative QCD
- The EFT-Hedron
- One-loop calculations in quantum field theory: from Feynman diagrams to unitarity cuts
- New positivity bounds from full crossing symmetry
- Positivity Bounds for Scalar Theories
- Sharp Boundaries for the Swampland
- Weak Gravity Conjecture from Unitarity and Causality
- Extremal Effective Field Theories
- On the Validity of the Effective Field Theory Approach to SM Precision Tests
- 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
- Crossing Symmetric Dispersion Relations in QFTs
- Infrared Consistency and the Weak Gravity Conjecture
- Quantum Gravity Constraints from Unitarity and Analyticity
- Positivity Bounds for Massive Spin-1 and Spin-2 Fields
- Causality constraints on corrections to Einstein gravity
- Where is String Theory?
- Loop amplitudes in gauge theories: modern analytic approaches
- Soft Expansion of Double-Real-Virtual Corrections to Higgs Production at NLO
- Positivity of Curvature-Squared Corrections in Gravity
- Causality, Unitarity, and the Weak Gravity Conjecture
- Positivity Bounds and the Massless Spin-2 Pole
- On the running of the gravitational constant
- Gravitational positivity bounds
- Construction of an asymptotic S matrix for perturbative quantum gravity
- Structure of two-loop SMEFT anomalous dimensions via on-shell methods
- Bounds on Amplitudes in Effective Theories with Massive Spinning Particles
- Crossing Symmetric Spinning S-matrix Bootstrap: EFT bounds
- An -Matrix for Massless Particles
- Massless Positivity in Graviton Exchange
- Graviton partial waves and causality in higher dimensions
- Gravitational Regge bounds
- The -Parameter: An Oblique Higgs View
- Classical vs Quantum Eikonal Scattering and its Causal Structure
- Cornering Large- QCD with Positivity Bounds
- Gravitational Causality and the Self-Stress of Photons
- Massive Gravity is not Positive
- Distributions in CFT I. Cross-Ratio Space
- UV graviton scattering and positivity bounds from IR dispersion relations
- Simplifying -Dimensional Physical-State Sums in Gauge Theory and Gravity
- Scalar-Graviton Amplitudes
- UV Constraints on Massive Spinning Particles: Lessons from the Gravitino
- A Finite -Matrix
- Positivity Bounds in Scalar Effective Field Theories at One-loop Level