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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 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 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

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

BFSS proposed that asymptotically flat M-theory is dual to a large $N$ limit of the matrix quantum mechanics describing $N$ nonrelativistic D0-branes. Recent insights on the soft symmetries of any quantum theory of gravity in asymptotically…

High Energy Physics - Theory · Physics 2022-09-01 Noah Miller , Andrew Strominger , Adam Tropper , Tianli Wang

We extend our investigation of soft graviton effects on the microscopic dynamics of matter fields in de Sitter space. We evaluate the quantum equation of motion in generic gauge theories. We find that the Lorentz invariance can be respected…

High Energy Physics - Theory · Physics 2013-06-14 Hiroyuki Kitamoto , Yoshihisa Kitazawa

In this letter we show that the soft behaviour of photons and graviton amplitudes, after projection, can be determined to infinite order in soft expansion via ordinary on-shell gauge invariance. In particular, as one of the particle's…

High Energy Physics - Theory · Physics 2018-08-15 Zhi-Zhong Li , Hung-Hwa Lin , Shun-Qing Zhang

We briefly discuss the soft behavior of scattering amplitudes both in string and quantum field theory. In particular we show a general argument about the validity of soft theorems for open superstring amplitudes and list some of our recent…

High Energy Physics - Theory · Physics 2016-09-21 Andrea L. Guerrieri

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 show that the Banks-Fischler-Shenker-Susskind matrix model for M-theory obeys the leading and subleading soft theorems expected from eleven-dimensional supergravity. The subleading soft theorem implies the amplitude is Lorentz symmetric.…

High Energy Physics - Theory · Physics 2023-12-27 Aidan Herderschee , Juan Maldacena

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

We show that in supersymmetric theories, knowing the soft theorem for a single particle in a supermultiplet allows one to immediately determine soft theorems for the remainder of the supermultiplet. While soft theorems in supersymmetric…

High Energy Physics - Theory · Physics 2025-05-07 Adam Tropper

We discuss constraints imposed by soft limits for effective field theories arising from symmetry breaking. In particular, we consider those associated with anomalous conformal symmetry as well as duality symmetries in supergravity. We…

High Energy Physics - Theory · Physics 2016-01-27 Yu-tin Huang , Congkao Wen

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

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 propose a candidate Compton amplitude which is valid for any (integer) quantum spin and free from any spurious poles. We consider the cases of electromagnetism and gravity. We obtain such amplitudes by calculating the corresponding ones…

High Energy Physics - Theory · Physics 2024-09-24 Thales Azevedo , Daniel E. A. Matamoros , Gabriel Menezes

We study the soft behavior of two seemingly different particles that are both referred to as dilatons in the literature, namely the one that appears in theories of gravity and in string theory and the Nambu-Goldstone boson of spontaneously…

High Energy Physics - Theory · Physics 2016-04-22 Paolo Di Vecchia , Raffaele Marotta , Matin Mojaza , Josh Nohle

Soft limits of massless S-matrix are known to reflect symmetries of the theory. In particular for theories with Goldstone bosons, the double-soft limit of scalars reveals the coset structure of the vacuum manifold. In this letter, we…

High Energy Physics - Theory · Physics 2015-07-23 Wei-Ming Chen , Yu-tin Huang , Congkao Wen

We present two different versions of the consistent theory of massive gravitons in arbitrary spacetimes which are simple enough for practical applications. The theory is described by a non-symmetric rank-2 tensor whose equations of motion…

High Energy Physics - Theory · Physics 2017-12-27 Charles Mazuet , Mikhail S. Volkov

Following up on the recent work of Cachazo, He and Yuan \cite{arXiv:1503.04816 [hep-th]}, we derive the double soft graviton theorem in perturbative gravity. We show that the double soft theorem derived using CHY formula precisely matches…

High Energy Physics - Theory · Physics 2016-10-03 Arnab Priya Saha