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Related papers: Double-Soft Limits of Gluons and Gravitons

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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

In this letter we derive new expressions for tree-level graviton amplitudes in $\mathcal{N}=8$ supergravity from BCFW recursion relations combined with new types of bonus relations. These bonus relations go beyond the famous $1/z^2$…

High Energy Physics - Theory · Physics 2023-09-13 Shruti Paranjape , Jaroslav Trnka

We estimate the stopping length of an energetic gluon in a thermal plasma of strongly coupled N=4 super-Yang-Mills theory by representing the gluon as a doubled string rising up out of the horizon.

High Energy Physics - Theory · Physics 2008-11-26 Steven S. Gubser , Daniel R. Gulotta , Silviu S. Pufu , Fabio D. Rocha

We find new relations for the non-universal part of the Yang-Mills amplitudes by combining the KLT-relation and the soft behavior of gauge and gravity amplitudes. We also extend the relations to include contributions from effective…

High Energy Physics - Theory · Physics 2020-04-13 Rafael Aoude , Andreas Helset

We calculate the spectrum of gluons sourced by the branching of an energetic quark in the presence of an inhomogeneous QCD medium, focusing on the soft radiation limit. We take into account multiple soft interactions between the partons and…

High Energy Physics - Phenomenology · Physics 2024-02-06 João Barata , Xoán Mayo López , Andrey V. Sadofyev , Carlos A. Salgado

The dual formulations of an infinite tower of tree-level soft theorems in asymptotically flat spacetimes for scattering amplitudes in the standard energy-momentum basis and for correlators of a 2D celestial conformal field theory imply a…

High Energy Physics - Theory · Physics 2026-03-17 Daniele Pranzetti , Domenico Giuseppe Salluce

Using BCFW on-shell recursion techniques, we prove a sequence of explicit n-point Kawai-Lewellen-Tye relations between gravity and Yang-Mills amplitudes at tree level.

High Energy Physics - Theory · Physics 2014-11-21 N. E. J. Bjerrum-Bohr , Poul H. Damgaard , Bo Feng , Thomas Sondergaard

In the sigma model, soft insertions of moduli scalars enact parallel transport of $S$-matrix elements about the finite-dimensional moduli space of vacua, and the antisymmetric double-soft theorem calculates the curvature of the vacuum…

High Energy Physics - Theory · Physics 2023-07-07 Daniel Kapec

Tree amplitudes of any gauge theory and gravity can be factorized into primitive three-particle amplitudes by the BCFW recursion relations. We show that the amplitudes at any perturbation order are given by tree amplitudes with additional…

High Energy Physics - Theory · Physics 2021-12-13 Markos Maniatis

In this note, we use the new bottom up method based on soft theorems to construct the expansion of single-trace Yang-Mills-scalar amplitudes recursively. The resulted expansion manifests the gauge invariance for any polarization carried by…

High Energy Physics - Theory · Physics 2026-05-05 Fang-Stars Wei , Kang Zhou

We present the two-loop QCD helicity amplitudes for quark-gluon scattering, and for quark-antiquark annihilation into two gluons. These amplitudes are relevant for next-to-next-to-leading order corrections to (polarized) jet production at…

High Energy Physics - Phenomenology · Physics 2014-01-28 Z. Bern , A. De Freitas , L. Dixon

We study double soft theorem for the generalised biadjoint scalar field theory whose amplitudes are computed in terms of punctures on $\mathbb{CP}^{k-1}$. We find that whenever the double soft limit does not decouple into a product of…

High Energy Physics - Theory · Physics 2021-02-17 Md. Abhishek , Subramanya Hegde , Dileep P. Jatkar , Arnab Priya Saha

All positive helicity four-point gluon-graviton amplitudes in Einstein-Yang-Mills theory coupled to a dilaton and axion field are computed at the leading one-loop order using colour-kinematics duality. In particular, all relevant…

High Energy Physics - Theory · Physics 2019-02-20 Josua Faller , Jan Plefka

Universal factors associated with the emission of a soft boson in gauge theories and gravity, formulated in the light-cone gauge, are presented. The inverse-soft method, for constructing higher-point amplitudes from lower-point ones, using…

High Energy Physics - Theory · Physics 2024-02-06 Sudarshan Ananth , Chetan Pandey , Saurabh Pant

We propose new formulae for the two-loop n-point D-dimensional integrands of scattering amplitudes in Yang-Mills theory and gravity. The loop integrands are written as a double-forward limit of tree-level trivalent diagrams, and are…

High Energy Physics - Theory · Physics 2020-01-29 Yvonne Geyer , Ricardo Monteiro , Ricardo Stark-Muchão

By means of a kinematic analysis of tree level graviton amplitudes we find, at least through six points, that the reason of their decompositon as a sum over products of Yang-Mills amplitudes is on-shell gauge invariance and unitarity. As a…

High Energy Physics - Theory · Physics 2020-02-19 Luiz Antonio Barreiro , Ricardo Medina

The most important aspects of scattering amplitudes have long been thought to be associated with their poles. But recently a very different sort of "split" factorizations for a wide range of particle and string tree amplitudes have been…

High Energy Physics - Theory · Physics 2024-05-17 Nima Arkani-Hamed , Carolina Figueiredo

In this paper, we extend the method proposed in \cite{Arkani-Hamed:2024fyd} for deriving soft theorems of amplitudes, which relies exclusively on factorization properties including conventional factorizations on physical poles, as well as…

High Energy Physics - Theory · Physics 2026-05-05 Kang Zhou

We present a method for the computation of hepta-cuts of two loop scattering amplitudes. Four dimensional unitarity cuts are used to factorise the integrand onto the product of six tree-level amplitudes evaluated at complex momentum values.…

High Energy Physics - Phenomenology · Physics 2012-04-18 Simon Badger , Hjalte Frellesvig , Yang Zhang

We study scattering equations and formulas for tree amplitudes of various theories in four dimensions, in terms of spinor helicity variables and on-shell superspace for supersymmetric theories. As originally obtained in Witten's twistor…

High Energy Physics - Theory · Physics 2016-07-15 Song He , Zhengwen Liu , Jun-Bao Wu