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Related papers: On Loop Corrections to Subleading Soft Behavior of…

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In this paper, we study loop corrections to the recently proposed new soft theorem of Cachazo-Strominger, for both gravity and gauge theory amplitudes. We first review the proof of its tree-level validity based on BCFW recursion relations,…

High Energy Physics - Theory · Physics 2015-06-19 Song He , Yu-tin Huang , Congkao Wen

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

Soft theorems describe the behavior of scattering amplitudes when one or several external particles are taken to be energetically soft. In tree-level gravity there are universal soft theorems for the three leading orders in the soft…

High Energy Physics - Theory · Physics 2025-04-24 Eivind Jørstad , Sruthi A. Narayanan

The single-soft-graviton limit of any quantum gravity scattering amplitude is given at leading order by the universal Weinberg pole formula. Gauge invariance of the formula follows from global energy-momentum conservation. In this paper…

High Energy Physics - Theory · Physics 2014-06-11 Freddy Cachazo , Andrew Strominger

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

We study soft theorems in a broader context, addressing their fate at loop level and their universality in effective field theories and string theory. We argue that for gauge theories in the planar limit, loop-level soft gluon theorems can…

High Energy Physics - Theory · Physics 2015-09-30 Massimo Bianchi , Song He , Yu-tin Huang , Congkao Wen

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

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

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

Over the past year, the "scalar-scaffolding" formalism has revealed a number of new features of gluon amplitudes. In this paper, we leverage these developments to study two distinct but related questions, linked by the scaffolding statement…

High Energy Physics - Theory · Physics 2025-09-23 Jeffrey V. Backus , Carolina Figueiredo

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

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 present strong evidence that the sub-subleading soft theorem in semi-classical (tree level) gravity discovered by Cachazo and Strominger is equivalent to the conservation of asymptotic charges associated to a new class of vector fields…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Miguel Campiglia , Alok Laddha

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

Starting from the amplitude with an arbitrary number of massless closed states of the bosonic string, we compute the soft limit when one of the states becomes soft to subsubleading order in the soft momentum expansion, and we show that when…

High Energy Physics - Theory · Physics 2016-06-29 Paolo Di Vecchia , Raffaele Marotta , Matin Mojaza

We derive the subleading soft graviton theorem in a generic quantum theory of gravity for arbitrary number of soft external gravitons and arbitrary number of finite energy external states carrying arbitrary mass and spin. Our results are…

High Energy Physics - Theory · Physics 2018-01-17 Subhroneel Chakrabarti , Sitender Pratap Kashyap , Biswajit Sahoo , Ashoke Sen , Mritunjay Verma

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 consider the tree-level scattering amplitudes in the NS-NS (Neveu-Schwarz) massless sector of closed superstrings in the case where one external state becomes soft. We compute the amplitudes generically for any number of dimensions and…

High Energy Physics - Theory · Physics 2017-01-04 Paolo Di Vecchia , Raffaele Marotta , Matin Mojaza

The double-soft limit of gluon and graviton amplitudes is studied in four dimensions at tree level. In general this limit is ambiguous and we introduce two natural ways of taking it: A consecutive double-soft limit where one particle is…

High Energy Physics - Theory · Physics 2015-05-20 Thomas Klose , Tristan McLoughlin , Dhritiman Nandan , Jan Plefka , Gabriele Travaglini

We analyze scattering amplitudes with one soft external graviton and arbitrary number of other finite energy external states carrying arbitrary mass and spin to sub-subleading order in the momentum of the soft graviton. Our result can be…

High Energy Physics - Theory · Physics 2017-11-22 Alok Laddha , Ashoke Sen
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