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We derive a universal soft theorem for every scattering amplitude with at least one massless particle in an arbitrary theory of scalars. Our results follow from the geometry of field space and are valid for any choice of mass spectrum,…

High Energy Physics - Theory · Physics 2022-04-20 Clifford Cheung , Andreas Helset , Julio Parra-Martinez

Cachazo and Skinner have recently conjectured a new formula for the complete tree-level S-matrix of N = 8 supergravity. The formula is an integral over the moduli space of rational curves in supertwistor space, and remarkably, manifests the…

High Energy Physics - Theory · Physics 2012-07-18 Mathew Bullimore

We derive formulae for the soft limit of tree-level gluon and graviton correlators in Anti-de Sitter space, which arise from Feynman diagrams encoding the Weinberg soft theorems in flat space. Other types of diagrams can also contribute to…

High Energy Physics - Theory · Physics 2024-10-22 Chandramouli Chowdhury , Arthur Lipstein , Jiajie Mei , Yuyu Mo

We extend our analysis of the soft behaviour of string amplitudes with massive insertions to closed strings at tree level (sphere). Relying on our previous results for open strings on the disk and on KLT formulae we check universality of…

High Energy Physics - Theory · Physics 2016-03-23 Massimo Bianchi , Andrea L. Guerrieri

We give a proof by direct computation that at tree level, the twistor-like superstring theory in the pure spinor formalism proposed very recently by Berkovits describes ten-dimensional N=1 super Yang-Mills in its heterotic version, and type…

High Energy Physics - Theory · Physics 2014-07-02 Humberto Gomez , Ellis Ye Yuan

We show the universal soft behavior of massless particles at the tree level by considering the operator product expansion of the soft vertex operator with the hard vertex operators. We find that after eliminating total derivative terms the…

High Energy Physics - Theory · Physics 2018-11-14 Sho Higuchi , Hikaru Kawai

We show that a wide class of tree-level scattering amplitudes involving scalars, gauge bosons, and gravitons, up to three of which may be massive, can be expressed in terms of a Cachazo-He-Yuan representation as a sum over solutions of the…

High Energy Physics - Theory · Physics 2015-06-11 Stephen G. Naculich

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

Soft behaviour of closed string amplitudes involving dilatons, gravitons and anti-symmetric tensors, is studied in the framework of bosonic string theory. The leading double soft limit of gluons is analysed as well, starting from scattering…

High Energy Physics - Theory · Physics 2016-11-03 Paolo Di Vecchia , Raffaele Marotta , Matin Mojaza

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 derive cosmological soft theorems for solids coupled to gravity. To this end, we first derive all cosmological adiabatic modes for solids, which display the interesting novelty of non-vanishing anisotropic stresses on large scales. Then,…

High Energy Physics - Theory · Physics 2019-06-12 Enrico Pajer , Sadra Jazayeri , Drian van der Woude

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

We show that the distributional nature of soft theorems requires the soft limit expansion to take priority over the regulator expansion of Feynman loop integrals. We start the study of soft graviton theorems at loop level from this…

High Energy Physics - Theory · Physics 2014-07-02 Freddy Cachazo , Ellis Ye Yuan

In this paper we study tree-level amplitudes from higher-dimensional operators, including $F^3$ operator of gauge theory, and $R^2$, $R^3$ operators of gravity, in the Cachazo-He-Yuan formulation. As a generalization of the reduced Pfaffian…

High Energy Physics - Theory · Physics 2017-03-08 Song He , Yong Zhang

Classical soft graviton theorem gives an expression for the spectrum of low frequency gravitational radiation, emitted during a classical scattering process, in terms of the trajectories and spin angular momenta of ingoing and outgoing…

General Relativity and Quantum Cosmology · Physics 2020-04-15 Alok Laddha , Ashoke Sen

Dimensional reduction of generalized gravity theories or string theories generically yields dilaton fields in the lower-dimensional effective theory. Thus at the level of D=4 theories, and cosmology many models contain more than just one…

General Relativity and Quantum Cosmology · Physics 2009-10-31 D. Grumiller , D. Hofmann , W. Kummer

Motivated by the equivalence between soft graviton theorem and Ward identities for the supertranslation symmetries belonging to the BMS group, we propose a new extension (different from the so-called extended BMS) of the BMS group which is…

High Energy Physics - Theory · Physics 2014-12-18 Miguel Campiglia , Alok Laddha

We study soft theorems at one loop in planar N=4 super Yang-Mills theory through finite order in the infrared regulator and to subleading order in the soft parameter {\delta}. In particular, we derive a universal constraint from dual…

High Energy Physics - Theory · Physics 2016-04-20 Andreas Brandhuber , Edward Hughes , Bill Spence , Gabriele Travaglini

We present a new formula for all single trace tree amplitudes in four dimensional super Yang-Mills coupled to Einstein supergravity. Like the Cachazo-He-Yuan formula, our expression is supported on solutions of the scattering equations, but…

High Energy Physics - Theory · Physics 2016-01-27 Tim Adamo , Eduardo Casali , Kai A. Roehrig , David Skinner

The subleading corrections to factorization theorems for soft bremsstrahlung in nonabelian gauge theories and gravity are investigated in the case of a five point amplitude with four scalars. Building on recent results, we write the action…

High Energy Physics - Theory · Physics 2015-03-18 Agustin Sabio Vera , Miguel A. Vazquez-Mozo