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We show that the recently discovered logarithmic terms in the soft graviton theorem induce a late time component in the gravitational wave-form that falls off as inverse power of time, producing a tail term to the linear memory effect.

High Energy Physics - Theory · Physics 2019-07-17 Alok Laddha , Ashoke Sen

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

We demonstrate that the one-loop exact subleading soft graviton theorem automatically follows from conservation of the BMS charges, provided that the hard and soft fluxes separately represent the extended BMS algebra at null infinity. This…

High Energy Physics - Theory · Physics 2023-06-22 Laura Donnay , Kevin Nguyen , Romain Ruzziconi

In \cite{1808.03288}, logarithmic correction to subleading soft photon and soft graviton theorems have been derived in four spacetime dimensions from the ratio of IR-finite S-matrices. This has been achieved after factoring out IR-divergent…

High Energy Physics - Theory · Physics 2023-11-15 Hare Krishna , Biswajit Sahoo

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

The gravitational radiation emitted during a classical scattering process is known to exhibit two universal logarithmic terms in its soft frequency expansion. We show that these terms can be written in a way that makes the action of…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Gianni Boschetti , Miguel Campiglia

Recently it was conjectured that a certain infinite-dimensional "diagonal" subgroup of BMS supertranslations acting on past and future null infinity (${\mathscr I}^-$ and ${\mathscr I}^+$) is an exact symmetry of the quantum gravity ${\cal…

High Energy Physics - Theory · Physics 2015-12-07 Temple He , Vyacheslav Lysov , Prahar Mitra , Andrew Strominger

It is now well understood that Ward identities associated to the (extended) BMS algebra are equivalent to single soft graviton theorems. In this work, we show that if we consider nested Ward identities constructed out of two BMS charges, a…

High Energy Physics - Theory · Physics 2022-09-20 Anupam A. H , Arpan Kundu , Krishnendu Ray

Classical subleading soft graviton theorem in four space-time dimensions determines the gravitational wave-form at late and early retarded time, generated during a scattering or explosion, in terms of the four momenta of the ingoing and…

High Energy Physics - Theory · Physics 2020-04-27 Arnab Priya Saha , Biswajit Sahoo , Ashoke Sen

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

The soft photon and soft graviton theorems of Weinberg are known to derive from conservation laws associated with asymptotic symmetries. Within the corresponding classical theories, one often speaks of spontaneous symmetry breaking and…

High Energy Physics - Theory · Physics 2025-07-10 Shreyansh Agrawal , Kevin Nguyen

We study the tree-level scattering of massless scalars followed by an emission of a soft graviton in the small compact region inside the static patch in de Sitter space. We derive in the small cosmological constant limit the perturbative…

High Energy Physics - Theory · Physics 2026-03-02 Pratik Chattopadhyay , Divyesh N. Solanki

Jet cross sections at high-energy colliders exhibit intricate patterns of logarithmically enhanced higher-order corrections. In particular, so-called non-global logarithms emerge from soft radiation emitted off energetic partons inside…

High Energy Physics - Phenomenology · Physics 2021-12-01 Thomas Becher , Matthias Neubert , Ding Yu Shao

In a previous article, we have argued that Low's sub-leading soft photon theorem can be recovered as a Ward identity associated to the same large gauge transformations that control the leading piece of the theorem. The key for that was to…

High Energy Physics - Theory · Physics 2017-05-12 Eduardo Conde , Pujian Mao

This chapter reviews the construction of ``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…

High Energy Physics - Theory · Physics 2022-10-20 Martin Beneke , Patrick Hager , Robert Szafron

We study corrections to the soft graviton theorem at all loop orders in Yukawa and scalar theories, both in the high energy and low energy regions. It is found that the tree level soft theorem is corrected by matrix elements coupled to the…

High Energy Physics - Theory · Physics 2017-09-20 Hualong Gervais

We investigate the relation between the subleading soft graviton theorem and asymptotic symmetries in gravity in even dimensions $d=2+2m$ higher than four. After rewriting the subleading soft graviton theorem as a Ward identity, we argue…

High Energy Physics - Theory · Physics 2022-01-24 Dimitri Colferai , Stefano Lionetti

We employ an unregulated computation the graviton self-energy from gravitons on de Sitter background to infer the renormalized result. This is used to quantum-correct the linearized Einstein equation. We solve this equation for the…

General Relativity and Quantum Cosmology · Physics 2022-07-11 L. Tan , N. C. Tsamis , R. P. Woodard

Superstring field theory gives expressions for heterotic and type II string loop amplitudes that are free from ultraviolet and infrared divergences when the number of non-compact space-time dimensions is five or more. We prove the…

High Energy Physics - Theory · Physics 2018-01-17 Ashoke Sen

A central feature of scattering amplitudes in gravity or gauge theory is the existence of a variety of energetically soft theorems which put constraints on the amplitudes. Celestial amplitudes which are obtained from momentum-space…

High Energy Physics - Theory · Physics 2020-10-28 Andrea Puhm
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