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We construct, in the closed bosonic string, the multiloop amplitude involving $N$ tachyons and one massless particle with $26 -D$ compactified directions, and we show that at least for $D>4$, the soft behaviors of the graviton and dilaton…

High Energy Physics - Theory · Physics 2019-01-18 Paolo Di Vecchia , Raffaele Marotta , Matin Mojaza

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

The CHY formula which describes an $n$-point tree level scattering amplitude for scalars, gluons or gravitons in arbitrary dimension [22], is used to prove the sub-sub-leading soft- graviton theorem recently proposed by Cachazo and…

High Energy Physics - Theory · Physics 2016-05-30 Michael Zlotnikov

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

In this note, I show that the recently proposed subleading soft factor in massless gauge theory uniquely follows from conformal symmetry of tree-level gauge theory amplitudes in four dimensions.

High Energy Physics - Theory · Physics 2014-10-08 Andrew J. Larkoski

We argue that the scattering of gravitons in ordinary Einstein gravity possesses a hidden conformal symmetry at tree level in any number of dimensions. The presence of this conformal symmetry is indicated by the dilaton soft theorem in…

High Energy Physics - Theory · Physics 2018-07-04 Florian Loebbert , Matin Mojaza , Jan Plefka

Soft factorization has been shown to hold to sub-leading order in QED and to sub-sub-leading order in perturbative quantum gravity, with various loop and non-universal corrections that can be found. Here we show that all terms factorizing…

High Energy Physics - Theory · Physics 2021-04-06 Colby DeLisle , Jordan Wilson-Gerow , Philip Stamp

In this note we show that the recent conjecture proposed by Cachazo and Strominger holds at tree level in arbitrary dimensions. The proof makes crucial use of the fact that the sub-leading operator is defined using the total angular…

High Energy Physics - Theory · Physics 2014-05-15 Nima Afkhami-Jeddi

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

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

In this paper, we derive a soft theorem at leading and subleading orders within the context of BFSS matrix theory. Specifically, we consider the effective field theory describing interactions between bound states of D0-branes at leading…

High Energy Physics - Theory · Physics 2026-02-06 Davide Laurenzano , John F. Wheater

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

Strominger and collaborators recently proposed that soft theorems for gauge and gravity amplitudes can be interpreted as Ward identities of a 2d CFT at null infinity. In this paper, we will consider a specific realization of this CFT known…

High Energy Physics - Theory · Physics 2015-07-01 Arthur E. Lipstein

We show that at tree level, on-shell gauge invariance can be used to fully determine the first subleading soft-gluon behavior and the first two subleading soft-graviton behaviors. Our proofs of the behaviors for n-gluon and n-graviton tree…

High Energy Physics - Theory · Physics 2014-11-11 Zvi Bern , Scott Davies , Paolo Di Vecchia , Josh Nohle

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

In this note, it is shown that closed string graviton scattering amplitudes obey the same subleading soft limit as field theory graviton scattering amplitudes. The result is derived using a combination of recent results and methods…

High Energy Physics - Theory · Physics 2014-11-26 Burkhard U. W. Schwab

We study the behavior of the scattering amplitudes of the bosonic string involving a soft massless state (graviton, dilaton and Kalb-Ramond antisymmetric tensor) and closed string tachyons or other closed string massless states. For a soft…

High Energy Physics - Theory · Physics 2015-04-01 Paolo Di Vecchia , Raffaele Marotta , Matin Mojaza

Tree-level gravitational amplitudes satisfy an infinite hierarchy of soft factorization theorems. The existence of these theorems has been recently linked with the existence of an infinite tower of asymptotic symmetries. In this paper, we…

High Energy Physics - Theory · Physics 2025-01-17 Samim Akhtar

We analyze the single subleading soft graviton theorem in $(d+1)$ dimensions under compactification on $S^1$. This produces the single soft theorems for the graviton, vector and scalar fields in $d$ dimension. For the compactification of…

High Energy Physics - Theory · Physics 2020-03-18 Raffaele Marotta , Mritunjay Verma

In arXiv:2008.04330 it was shown that supertranslation and $\overline{SL(2,\mathbb C)}$ current algebra symmetries, corresponding to leading and subleading soft graviton theorems, are enough to determine the tree level MHV graviton…

High Energy Physics - Theory · Physics 2021-09-01 Shamik Banerjee , Sudip Ghosh , Sai Satyam Samal