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We identify in Einstein gravity an asymptotic spin-$2$ charge aspect whose conservation equation gives rise, after quantization, to the sub-subleading soft theorem. Our treatment reveals that this spin-$2$ charge generates a non-local…

High Energy Physics - Theory · Physics 2022-06-15 Laurent Freidel , Daniele Pranzetti , Ana-Maria Raclariu

It has been shown that in larger than four space-time dimensions, soft factors that relate the amplitudes with a soft photon or graviton to amplitudes without the soft particle also determine the low frequency radiative part of the…

High Energy Physics - Theory · Physics 2018-11-14 Alok Laddha , Ashoke Sen

Collinear and soft divergences in perturbative quantum gravity are investigated to arbitrary orders in amplitudes for wide-angle scattering, using methods developed for gauge theories. We show that collinear singularities cancel when all…

High Energy Physics - Theory · Physics 2011-12-01 Ratindranath Akhoury , Ryo Saotome , George Sterman

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

Using universal predictions provided by classical soft theorems, we revisit the energy emission spectrum for gravitational scatterings of compact objects in the low-frequency expansion. We calculate this observable beyond the zero-frequency…

High Energy Physics - Theory · Physics 2024-12-31 Francesco Alessio , Paolo Di Vecchia , Carlo Heissenberg

Classical soft photon and soft graviton theorems determine long wavelength electromagnetic and gravitational waveforms for a general classical scattering process in terms of the electric charges and asymptotic momenta of the ingoing and…

High Energy Physics - Theory · Physics 2020-12-30 Biswajit Sahoo

We consider single graviton loop corrections to the effective field equation of a massless, minimally coupled scalar on de Sitter background in the simplest gauge. We find a large temporal logarithm in the approach to freeze-in at late…

General Relativity and Quantum Cosmology · Physics 2022-03-16 D. Glavan , S. P. Miao , T. Prokopec , R. P. Woodard

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

Gravitational memory, which describes the permanent shift in the strain after the passage of gravitational waves, is directly related to Weinberg's soft graviton theorems and the Bondi-Metzner-Sachs (BMS) symmetry group of asymptotically…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Valerio De Luca , Justin Khoury , Sam S. C. Wong

In this paper, we revisit the question of identifying Soft Graviton theorem in higher (even) dimensions with Ward identities associated with Asymptotic symmetries. Building on the prior work of \cite{strominger}, we compute, from first…

High Energy Physics - Theory · Physics 2019-02-04 Ankit Aggarwal

The universality of gravitational scattering at low energies and large distances encoded in soft theorems and memory effects can be understood from symmetries. In four-dimensional asymptotically flat spacetimes the infinite enhancement of…

High Energy Physics - Theory · Physics 2025-09-23 Sangmin Choi , Alok Laddha , Andrea Puhm

Radiative corrections to elastic electron-proton scattering are analyzed in effective field theory. A new factorization formula identifies all sources of large logarithms in the limit of large momentum transfer, $Q^2\gg m_e^2$. Explicit…

High Energy Physics - Phenomenology · Physics 2017-01-11 Richard J. Hill

Using soft-graviton theorems a well-known zero-frequency limit (ZFL) for the gravitational radiation flux $dE^{GW}/d \omega$ is re-derived and extended to order ${{\cal O}}(\omega)$ and ${{\cal O}}(\omega^2)$ for arbitrary massless…

High Energy Physics - Theory · Physics 2019-06-05 Andrea Addazi , Massimo Bianchi , Gabriele Veneziano

We combine different techniques to extract information about the logarithmic contributions to the two-body conservative dynamics within the post-Newtonian (PN) approximation of General Relativity. The logarithms come from the conservative…

General Relativity and Quantum Cosmology · Physics 2020-07-09 Luc Blanchet , Stefano Foffa , François Larrouturou , Riccardo Sturani

We analyze the low-energy behavior of scattering amplitudes involving gravitons at loop level in four dimensions. The single-graviton soft limit is controlled by soft operators which have been argued to separate into a factorized piece and…

High Energy Physics - Theory · Physics 2014-11-11 Johannes Broedel , Marius de Leeuw , Jan Plefka , Matteo Rosso

The graviton S-matrix has a famous soft pole. We show that the S-matrix for cylindrical gravitational waves has a soft zero. The soft pole for ordinary gravitons comes from a Ward identity for supertranslation symmetry at asymptotic…

High Energy Physics - Theory · Physics 2024-06-13 Robert Penna

The gravitational $\mathcal{S}$-matrix defined with an infrared (IR) cutoff factorizes into hard and soft factors. The soft factor is universal and contains all the IR and collinear divergences. Here we show, in a momentum space basis, that…

High Energy Physics - Theory · Physics 2020-12-16 Elizabeth Himwich , Sruthi A. Narayanan , Monica Pate , Nisarga Paul , Andrew Strominger

We show that the soft part of the charge generating infinitesimal superrotations can be expressed, in harmonic gauge, in terms of metric components evaluated at the boundaries of null infinity that are subleading in a large radius…

High Energy Physics - Theory · Physics 2019-02-06 Elizabeth Himwich , Zahra Mirzaiyan , Sabrina Pasterski

Soft theorems can be recast as Ward identities of asymptotic symmetries. We review such relation for the leading and subleading soft graviton theorems in arbitrary even dimensions. While soft theorems are trivially generalized to dimensions…

High Energy Physics - Theory · Physics 2022-11-30 Stefano Lionetti

We show that the form of the recently proposed subleading soft graviton and gluon theorems in any dimension are severely constrained by elementary arguments based on Poincar\'e and gauge invariance as well as a self-consistency condition…

High Energy Physics - Theory · Physics 2014-09-24 Johannes Broedel , Marius de Leeuw , Jan Plefka , Matteo Rosso