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Soft theorems for the scattering of low energy photons and gravitons and cosmological consistency conditions on the squeezed-limit correlation functions are both understood to be consequences of invariance under large gauge transformations.…

High Energy Physics - Theory · Physics 2016-02-18 Mehrdad Mirbabayi , Marko Simonović

We study the relation between emergent 1-form symmetries and soft photon theorems in QED. We show that in the relevant massive and massless kinematic regimes, described respectively by HQET and SCET, the soft sector admits electric and…

High Energy Physics - Theory · Physics 2026-04-08 Luigi Tizzano

We describe the connection between spontaneously-broken higher symmetries and soft theorems for scattering amplitudes of their associated Nambu-Goldstone bosons. Our main result is a new sub-leading double soft pion theorem in theories with…

High Energy Physics - Theory · Physics 2026-02-24 Jonah Berean-Dutcher , Maria Derda , Julio Parra-Martinez

We show that in supersymmetric theories, knowing the soft theorem for a single particle in a supermultiplet allows one to immediately determine soft theorems for the remainder of the supermultiplet. While soft theorems in supersymmetric…

High Energy Physics - Theory · Physics 2025-05-07 Adam Tropper

We prove that soft theorems uniquely fix scattering amplitudes in a wide range of theories, including Yang-Mills, gravity, the non-linear sigma model, Dirac-Born-Infeld, dilaton effective theories, extended theories like NLSM$\oplus \phi^3$…

High Energy Physics - Theory · Physics 2019-02-27 Laurentiu Rodina

In a systematic study, we use an equivalent pair of improved numerical relativity codes based on a tetrad-formulation of the classical Einstein-scalar field equations to examine whether slow contraction or inflation (or both) can resolve…

General Relativity and Quantum Cosmology · Physics 2024-04-03 Anna Ijjas , Paul J. Steinhardt , David Garfinkle , William G. Cook

A deep connection has been recently established between soft theorems and symmetries at null infinity in gravity and gauge theories, recasting the former as Ward identities of the latter. In particular, different orders (in the frequency of…

High Energy Physics - Theory · Physics 2017-05-11 Eduardo Conde , Pujian Mao

We show that the squeezed limit of (N+1)-point functions of primordial correlation functions in which one of the modes has a very small wavenumber can be inferred from the spatial variation of locally measured N-point function. We then show…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Leonardo Senatore , Matias Zaldarriaga

Soft limits of inflationary correlation functions are both observationally relevant and theoretically robust. Various theorems can be proven about them that are insensitive to detailed model-building assumptions. In this paper, we re-derive…

High Energy Physics - Theory · Physics 2015-06-04 Valentin Assassi , Daniel Baumann , Daniel Green

Extensions of the photon and graviton soft theorems are derived in 4d local effective field theories with massless particles of arbitrary spin. We prove that effective operators can result in new terms in the soft theorems at subleading…

High Energy Physics - Theory · Physics 2017-06-14 Henriette Elvang , Callum R. T. Jones , Stephen G. Naculich

We show both the leading and subleading double soft theorems of the nonlinear sigma model follow from a shift symmetry enforcing Adler's zero condition in the presence of an unbroken global symmetry. They do not depend on the underlying…

High Energy Physics - Theory · Physics 2016-03-02 Ian Low

The soft limits of scattering amplitudes have been extensively studied due to their essential role in the computation of physical observables in collider physics. The universal factorisation that occurs in these kinematic limits has been…

High Energy Physics - Theory · Physics 2022-12-14 Tristan McLoughlin , Andrea Puhm , Ana-Maria Raclariu

Soft theorems in gauge theory and gravity encode the universal properties of scattering amplitudes as the zero frequency limit of one or more external states is approached. When the participating particles are treated in the massless limit,…

High Energy Physics - Theory · Physics 2021-07-15 Nikhil Kalyanapuram

It is widely known that the primordial curvature perturbation $\zeta$ has several universal properties in the infrared (IR) such as the soft theorem, which is also known as the consistency relation, and the conservation in time. They are…

High Energy Physics - Theory · Physics 2017-11-22 Takahiro Tanaka , Yuko Urakawa

We show that a perturbed inflationary spacetime, driven by a canonical single scalar field, is invariant under a special class of coordinate transformations together with a field reparametrization of the curvature perturbation in co-moving…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-15 Rafael Bravo , Sander Mooij , Gonzalo A. Palma , Bastián Pradenas

We study soft limits of correlation functions for the density and velocity fields in the theory of structure formation. First, we re-derive the (resummed) consistency conditions at unequal times using the eikonal approximation. These are…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-25 Ido Ben-Dayan , Thomas Konstandin , Rafael A. Porto , Laura Sagunski

We work out the phenomenology of a model of supersymmetry breaking in the presence of a tiny (tunable) positive cosmological constant, proposed by the authors in arXiv:1403.1534. It utilises a single chiral multiplet with a gauged shift…

High Energy Physics - Phenomenology · Physics 2016-11-06 Ignatios Antoniadis , Rob Knoops

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

We describe tree-level soft theorems for Chern-Simons QED and QCD in 4+1 dimensions. Soft theorems have been studied in various context in the past. The universal behavior of the leading and subleading soft theorems is understood as a…

High Energy Physics - Theory · Physics 2026-05-26 Avi Wadhwa

We generalize the consistency condition for the three-point function in single field inflation to the case of dissipative, multi-field, single-clock models. We use the recently introduced extension of the effective field theory of inflation…

High Energy Physics - Theory · Physics 2015-06-05 Diana Lopez Nacir , Rafael A. Porto , Matias Zaldarriaga