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In this paper, we study the newly discovered universal splitting behavior for tree-level scattering amplitudes of particles and strings~\cite{Cao:2024gln}: when a set of Mandelstam variables (and Lorentz products involving polarizations for…

High Energy Physics - Theory · Physics 2025-01-15 Qu Cao , Jin Dong , Song He , Canxin Shi , Fanky Zhu

In this paper, we study a novel behavior developed by certain tree-level scalar scattering amplitudes, including the biadjoint, NLSM, and special Galileon, when a subset of kinematic invariants vanishes without producing a singularity. This…

High Energy Physics - Theory · Physics 2022-09-14 Freddy Cachazo , Nick Early , Bruno Umbert

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

Tree-level scattering amplitudes for gravitons, gluons and Goldstone particles in any dimensions are strongly constrained by basic principles, and they are intimately related to each other via various relations. We study two types of…

High Energy Physics - Theory · Physics 2022-05-25 Jin Dong , Song He , Linghui Hou

In this letter, we propose a stringy model for $n$-point tree-level form factor with the off-shell operator in the scalar and gluon theories, from the bosonic string disk amplitude: $n$ open string states and $1$ closed string state scatter…

High Energy Physics - Theory · Physics 2025-07-14 Qu Cao

We study scattering amplitudes and form factors in planar $\mathcal{N}=4$ Super Yang-Mills theory in the limit where two pairs of gluons become collinear. We find that, when the virtualities of both collinear pairs are spacelike, the…

High Energy Physics - Theory · Physics 2025-07-09 Claude Duhr , Aniruddha Venkata , Chi Zhang

The newly discovered splitting behavior of tree-level scattering amplitudes of particles and strings has been expressed in terms of currents containing one off-shell leg. In this work, we explain how to obtain on-shell representations of…

High Energy Physics - Theory · Physics 2025-12-25 Thales Azevedo , Humberto Gomez , Renann Lipinski Jusinskas

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,…

High Energy Physics - Theory · Physics 2015-07-31 Anastasia Volovich , Congkao Wen , Michael Zlotnikov

We demonstrate that the tree level amplitudes and the explicit formulas of soft factors can be uniquely determined by soft theorems and the universality of soft factors. By imposing the soft theorems and the universality, as well as the…

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

We propose a new factorization pattern for tree-level Yang-Mills (YM) amplitudes, where they decompose into a sum of gluings of two lower-point amplitudes by setting specific two-point non-planar Mandelstam variables within a rectangular…

High Energy Physics - Theory · Physics 2025-12-02 Alfredo Guevara , Yong Zhang

Recent years have seen the emergence of a new understanding of scattering amplitudes in the simplest theory of colored scalar particles - the Tr$(\phi^3)$ theory - based on combinatorial and geometric ideas in the kinematic space of…

High Energy Physics - Theory · Physics 2024-12-31 Nima Arkani-Hamed , Qu Cao , Jin Dong , Carolina Figueiredo , Song He

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…

High Energy Physics - Theory · Physics 2020-05-13 Raffaele Marotta , Matin Mojaza

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 have calculated the high spin parton splitting amplitudes postulating the Yangian symmetry of the scattering amplitudes for tensorgluons. The resulting splitting amplitudes coincide with the earlier calculations, which were based on the…

High Energy Physics - Theory · Physics 2017-07-10 Roland Kirschner , George Savvidy

In gauge systems coupled to matter, the static potential flattens out at a scale where the confining string breaks by formation of a dynamical pair of particles. Surprisingly, such a breaking is invisible in Wilson loops even when the…

High Energy Physics - Lattice · Physics 2009-10-31 Ferdinando Gliozzi

We show that tree-level form factors with length-two operators in Yang-Mills-scalar (YMS) theory exhibit structures very similar to scattering amplitudes of gluons and scalars, which leads to new relations between them. Just like…

High Energy Physics - Theory · Physics 2023-03-01 Jin Dong , Song He , Guanda Lin

Four-particle tree-level scattering amplitudes in string theory are magically consistent with unitarity, reflected in the non-trivial fact that beneath the critical dimension, the residues of the amplitudes on massive poles can be expanded…

High Energy Physics - Theory · Physics 2022-03-14 Nima Arkani-Hamed , Lorenz Eberhardt , Yu-tin Huang , Sebastian Mizera

We present a new formulation for Yang-Mills scattering amplitudes in any number of dimensions and at any loop order, based on the same combinatorial and binary-geometric ideas in kinematic space recently used to give an all-order…

High Energy Physics - Theory · Physics 2025-05-02 Nima Arkani-Hamed , Qu Cao , Jin Dong , Carolina Figueiredo , Song He

The similarity between tree-level string theory scalar amplitudes, the Koba-Nielsen form ($S^{1}$) and the Virasoro-Shapiro form ($S^{2}$) suggests a natural $S^{n}$ generalization for a scalar amplitude. It is shown that the $S^{n}$…

High Energy Physics - Theory · Physics 2008-02-03 Makoto Natsuume

We re-examine a closed-string model defined by altering the boundary conditions for one handedness of two-dimensional propagators in otherwise-standard string theory. We evaluate the amplitudes using Kawai-Lewellen-Tye factorization into…

High Energy Physics - Theory · Physics 2016-10-12 Yu-tin Huang , Warren Siegel , Ellis Ye Yuan
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