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Gravitational waves (GWs) induced by scalar curvature fluctuations are an important source of the cosmological GW background and a crucial counterpart of the primordial black hole scenario. However, doubts have been cast on the…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Guillem Domènech , Misao Sasaki

We consider and derive the gravitational soft theorem up to the sub-subleading power from the perspective of effective Lagrangians. The emergent soft gauge symmetries of the effective Lagrangian provide a transparent explanation of why soft…

High Energy Physics - Theory · Physics 2022-04-14 Martin Beneke , Patrick Hager , Robert Szafron

We study the soft theorems for photons and gravitons at finite temperatures using the thermofield dynamics approach. The soft factors lose universality at finite temperatures as the soft amplitudes depend on the nature (or spin) of the…

High Energy Physics - Theory · Physics 2024-01-09 Divyesh N. Solanki , Srijit Bhattacharjee

We present all-multiplicity formulae, derived from first principles in the MHV sector and motivated by twistor string theory for general helicities, for the tree-level S-matrix of gluon scattering on self-dual radiative backgrounds. These…

High Energy Physics - Theory · Physics 2023-05-11 Tim Adamo , Lionel Mason , Atul Sharma

Gauge theories and perturbative gravity in four dimensions are governed by a tower of infinite-dimensional symmetries which arise from tree-level soft theorems. However, aside from the leading soft theorems which are all-loop exact,…

High Energy Physics - Theory · Physics 2024-12-24 Sangmin Choi , Alok Laddha , Andrea Puhm

Motivated by the study of extreme mass-ratio binary systems, recent work has explored the use of curved backgrounds in computations of classical gravitational amplitudes [arXiv:2308.15304, arXiv:2308.14832, arXiv:2406.14770]. While these…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Carl Jordan Eriksen

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…

High Energy Physics - Phenomenology · Physics 2022-04-14 Martin Beneke , Patrick Hager , Robert Szafron

The brightness theorem---brightness is nonincreasing in passive systems---is a foundational conservation law, with applications ranging from photovoltaics to displays, yet it is restricted to the field of ray optics. For general linear wave…

Optics · Physics 2019-10-24 Hanwen Zhang , Chia Wei Hsu , Owen D. Miller

We study the effective theory of soft photons in slowly varying electromagnetic background fields at one-loop order in QED. This is of relevance for the study of all-optical signatures of quantum vacuum nonlinearity in realistic…

High Energy Physics - Phenomenology · Physics 2017-03-14 Felix Karbstein

A framework of connections between asymptotic symmetries, soft theorems, and memory effects has recently shed light on a universal structure associated with infrared physics. Here, we show how this pattern has been used to fill in missing…

High Energy Physics - Theory · Physics 2019-10-24 Sabrina Pasterski

This note emphasizes the role of multi-scale wave structures and junction conditions in many fields of physics, from the dynamics of fluids with non-convex equations of state to the study of gravitational singularities and bouncing…

General Relativity and Quantum Cosmology · Physics 2021-11-25 Philippe G. LeFloch

Both 3- and 4-point scattering amplitudes for spin-1 massless particles (gluons) and spin-2 massless particles (gravitons) are reviewed through self-contained step-by-step derivation. Gluon and graviton interactions are computed from…

High Energy Physics - Phenomenology · Physics 2019-12-12 Abhilash Mathews

The classical soft graviton theorem expresses the behavior of low-frequency gravitational radiation. In this paper, simplistic proofs of the classical soft graviton theorem for massless and massive scalar fields on $4$-D Minkowski…

High Energy Physics - Theory · Physics 2023-12-01 Raikhik Das

We consider high-energy fixed-angle scattering of glueballs in confining gauge theories that have supergravity duals. Although the effective description is in terms of the scattering of strings, we find that the amplitudes are hard (power…

High Energy Physics - Theory · Physics 2009-10-09 Joseph Polchinski , Matthew J. Strassler

We study singular hypersurfaces in tensor multi-scalar theories of gravity. We derive in a distributional and then in an intrinsic way, the general equations of junction valid for all types of hypersurfaces, in particular for lightlike…

General Relativity and Quantum Cosmology · Physics 2011-05-12 C. Barrabes , G. F. Bressange

Gauge and gravitational theories in asymptotically flat settings possess infinitely many conserved charges associated with large gauge transformations or diffeomorphisms that are nontrivial at infinity. To what extent do these charges…

High Energy Physics - Theory · Physics 2024-10-18 Eanna E. Flanagan , Ibrahim Shehzad

Recently Sahoo and Sen obtained a series of remarkable results concerning sub-leading soft photon and graviton theorems in four dimensions. Even though the S- matrix is infrared divergent, they have shown that the sub-leading soft theorems…

High Energy Physics - Theory · Physics 2020-01-08 Miguel Campiglia , Alok Laddha

We derive new constraints on massive gravity from unitarity and analyticity of scattering amplitudes. Our results apply to a general effective theory defined by Einstein gravity plus the leading soft diffeomorphism-breaking corrections. We…

High Energy Physics - Theory · Physics 2016-04-05 Clifford Cheung , Grant N. Remmen

We study all translationally and rotationally invariant local theories involving massless spin 2 and spin 1 particles that mediate long range forces, allowing for general energy relations and violation of boost invariance. Although gauge…

High Energy Physics - Theory · Physics 2017-11-01 Mark P. Hertzberg , McCullen Sandora

We study the behavior of the tree-level S-matrix of a variety of theories as two particles become soft. By analogy with the recently found subleading soft theorems for gravitons and gluons, we explore subleading terms in double soft…

High Energy Physics - Theory · Physics 2015-10-07 Freddy Cachazo , Song He , Ellis Ye Yuan
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