Soft-collinear gravity beyond the leading power

Abstract

We construct "soft-collinear gravity", the effective field theory which describes the interaction of collinear and soft gravitons with matter (and themselves), to all orders in the soft-collinear power expansion. Despite the absence of collinear divergences in gravity at leading power, the construction exhibits remarkable similarities with soft-collinear effective theory of QCD (gauge fields). It reveals an emergent soft background gauge symmetry, which allows for a manifestly gauge-invariant representation of the interactions in terms of a soft covariant derivative, the soft Riemann tensor, and a covariant generalisation of the collinear light-cone gauge metric field. The gauge symmetries control both the unsuppressed collinear field components and the inherent inhomogeneity in $\lambda$ of the invariant objects to all orders, resulting in a consistent expansion.

arXiv commentv2: 59+17 pages, matches published version

References in corpus (28)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• General relativity as an effective field theory: The leading quantum corrections
• New Relations for Gauge-Theory Amplitudes
• Asymptotic expansion of Feynman integrals near threshold
• Hard Scattering Factorization from Effective Field Theory
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• Gravity as the Square of Gauge Theory
• Multipole-expanded soft-collinear effective theory with non-abelian gauge symmetry
• Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance
• Reparameterization Invariance for Collinear Operators
• Factorization Properties of Soft Graviton Amplitudes
• Diffeomorphism-invariant observables and their nonlocal algebra
• Subleading soft theorem in arbitrary dimension from scattering equations
• Constraining subleading soft gluon and graviton theorems
• Perturbative Gravity from QCD Amplitudes
• Collinear and Soft Divergences in Perturbative Quantum Gravity
• Sub-sub-leading soft-graviton theorem in arbitrary dimension
• Anomalous dimension of subleading-power N-jet operators
• Eikonal methods applied to gravitational scattering amplitudes
• A Subleading Operator Basis and Matching for $gg\to H$
• A Complete Basis of Helicity Operators for Subleading Factorization
• Anomalous dimension of subleading-power $N$-jet operators II
• Building Blocks for Subleading Helicity Operators
• Soft-collinear gravity
• Violation of the Kluberg-Stern--Zuber theorem in SCET
• Soft collinear effective theory for gravity
• Topics in gravity SCET: the diff Wilson lines and reparametrization invariance

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• 50 Years of Quantum Chromodynamics
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• Subleading Effects in Soft-Gluon Emission at One-Loop in Massless QCD
• Soft-collinear gravity with fermionic matter
• Chiral Perturbation Theory Reflections on Effective Theories of the Standard Model
• On the gauge-invariance of SCET beyond leading power
• Analytic structure of the high-energy gravitational amplitude: multi-H diagrams and classical 5PM logarithms
• Double soft graviton factors from the gravitational Wilson line
• Subleading Effects in Soft-Gluon Emission at One-Loop in Massive QCD