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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…

高能物理 - 理论 · 物理学 2015-04-01 Paolo Di Vecchia , Raffaele Marotta , Matin Mojaza

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…

高能物理 - 理论 · 物理学 2016-06-29 Paolo Di Vecchia , Raffaele Marotta , Matin Mojaza

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…

高能物理 - 理论 · 物理学 2017-01-04 Paolo Di Vecchia , Raffaele Marotta , Matin Mojaza

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…

高能物理 - 理论 · 物理学 2016-11-03 Paolo Di Vecchia , Raffaele Marotta , Matin Mojaza

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…

高能物理 - 理论 · 物理学 2016-04-22 Paolo Di Vecchia , Raffaele Marotta , Matin Mojaza , Josh Nohle

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…

高能物理 - 理论 · 物理学 2019-01-18 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…

高能物理 - 理论 · 物理学 2018-01-17 Subhroneel Chakrabarti , Sitender Pratap Kashyap , Biswajit Sahoo , Ashoke Sen , Mritunjay Verma

We calculate the simultaneous double-soft limit of two massless closed strings scattering with any number of closed string tachyons to the subleading order at the tree level. The limit factorizes the scattering amplitude into a double-soft…

高能物理 - 理论 · 物理学 2020-05-13 Raffaele Marotta , Matin Mojaza

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…

高能物理 - 理论 · 物理学 2017-11-22 Alok Laddha , Ashoke Sen

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…

高能物理 - 理论 · 物理学 2018-07-04 Florian Loebbert , Matin Mojaza , Jan Plefka

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…

高能物理 - 理论 · 物理学 2017-05-12 Eduardo Conde , Pujian Mao

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…

高能物理 - 理论 · 物理学 2014-06-11 Freddy Cachazo , Andrew Strominger

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…

高能物理 - 理论 · 物理学 2015-09-30 Massimo Bianchi , Song He , Yu-tin Huang , Congkao Wen

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…

高能物理 - 理论 · 物理学 2017-06-14 Henriette Elvang , Callum R. T. Jones , Stephen G. Naculich

We consider soft graviton scattering for a theory where Einstein's gravity is minimally coupled to a scalar field in the presence of a cosmological constant, i.e. in a background de Sitter space. Employing a perturbative expansion in a…

高能物理 - 理论 · 物理学 2025-12-08 Divyesh N. Solanki , Pratik Chattopadhyay , Srijit Bhattacharjee

We show that the soft photon, gluon and graviton theorems can be understood as the Ward-Takahashi identities of large gauge transformation, i.e., diffeomorphism that does not fall off at spatial infinity. We found infinitely many new…

高能物理 - 理论 · 物理学 2018-05-23 Yuta Hamada , Gary Shiu

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…

高能物理 - 理论 · 物理学 2018-08-15 Zhi-Zhong Li , Hung-Hwa Lin , Shun-Qing Zhang

We derive a new model-independent double-soft dilaton theorem, taking into account the spacetime dependence of the dilation commutator $[i Q_D,{\cal O}(x)]= (\Delta_{\cal O} + x \cdot \partial){\cal O}(x)$. The procedure restores positivity…

高能物理 - 格点 · 物理学 2025-08-25 Roman Zwicky

We prove that soft theorems uniquely fix scattering amplitudes in a wide range of theories, including Yang-Mills, gravity, the non-linear sigma model, Dirac-Born-Infeld, dilaton effective theories, extended theories like NLSM$\oplus \phi^3$…

高能物理 - 理论 · 物理学 2019-02-27 Laurentiu Rodina

We investigate the tree-level S-matrix in gauge theories and open superstring theory with several soft particles. We show that scattering amplitudes with two or three soft gluons of non-identical helicities behave universally in the limit,…

高能物理 - 理论 · 物理学 2015-07-31 Anastasia Volovich , Congkao Wen , Michael Zlotnikov
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