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Very recently in arXiv:0705.0303 Alday and Maldacena gave a string theory prescription for computing (all) planar amplitudes in N=4 supersymmetric gauge theory at strong coupling using the AdS/CFT correspondence. These amplitudes are…

High Energy Physics - Theory · Physics 2008-11-26 Steven Abel , Stefan Forste , Valentin V. Khoze

Using the pure spinor formalism in part I [1] we compute the complete tree-level amplitude of N massless open strings and find a striking simple and compact form in terms of minimal building blocks: the full N-point amplitude is expressed…

High Energy Physics - Theory · Physics 2011-06-15 Carlos R. Mafra , Oliver Schlotterer , Stephan Stieberger

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 derive new amplitudes relations revealing a hidden unity among wide-ranging theories in arbitrary spacetime dimensions. Our results rely on a set of Lorentz invariant differential operators which transmute physical tree-level scattering…

High Energy Physics - Theory · Physics 2018-04-04 Clifford Cheung , Chia-Hsien Shen , Congkao Wen

In this paper, we propose new understandings for recently discovered hidden zeros and novel splittings, by utilizing Feynman diagrams. The study focus on ordered tree level amplitudes of three theories, which are ${\rm Tr}(\phi^3)$,…

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

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

Tree-level scattering amplitudes for a scalar particle coupled to an arbitrary number N of photons and a single graviton are computed. We employ the worldline formalism as the main tool to compute the irreducible part of the amplitude,…

High Energy Physics - Theory · Physics 2020-08-04 Naser Ahmadiniaz , Filippo Maria Balli , Olindo Corradini , José Manuel Dávila , Christian Schubert

In the limit where partons become collinear to each other, scattering amplitudes factorize into a product of universal, process-independent building blocks and scattering amplitudes involving fewer partons. We compute these universal…

High Energy Physics - Phenomenology · Physics 2024-08-07 Xin Guan , Franz Herzog , Yao Ma , Bernhard Mistlberger , Adi Suresh

In this paper, we investigate the $2$-split behavior of tree-level amplitudes of bi-adjoint scalar (BAS), Yang-Mills (YM), non-linear sigma model (NLSM), and general relativity (GR) theories under certain kinematic conditions. Our approach…

High Energy Physics - Theory · Physics 2026-05-05 Bo Feng , Liang Zhang , Kang Zhou

We derive from ambitwistor strings new formulae for two-loop scattering amplitudes in supergravity and super-Yang-Mills theory, with any number of particles. We start by constructing a formula for the type II ambitwistor string amplitudes…

High Energy Physics - Theory · Physics 2018-12-18 Yvonne Geyer , Ricardo Monteiro

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

We present a world-sheet formula for all tree level scattering amplitudes, in all trace sectors, of four dimensional $\mathcal{N} \leq 4$ supersymmetric Einstein-Yang-Mills theory, based on the refined scattering equations. This generalizes…

High Energy Physics - Theory · Physics 2017-09-13 Kai A. Roehrig

In this paper we revisit the general phenomenon that scattering amplitudes of pions can be obtained from "dimensional reduction" of gluons in higher dimensions in a more general context. We show that such "dimensional reduction" operations…

High Energy Physics - Theory · Physics 2024-07-22 Jin Dong , Xiang Li , Fan Zhu

We introduce a formalism for describing four-dimensional scattering amplitudes for particles of any mass and spin. This naturally extends the familiar spinor-helicity formalism for massless particles to one where these variables carry an…

High Energy Physics - Theory · Physics 2021-11-02 Nima Arkani-Hamed , Tzu-Chen Huang , Yu-tin Huang

Explicit expressions for one-loop five supergraviton scattering amplitudes in both type II superstring theories are determined by making use of the pure spinor formalism. The type IIB amplitude can be expressed in terms of a doubling of…

High Energy Physics - Theory · Physics 2015-06-16 Michael B. Green , Carlos R. Mafra , Oliver Schlotterer

We compute in conventional dimensional regularisation the tree-level splitting amplitudes for a quark parent in the limit where four partons become collinear to each other. This is part of the universal infrared behaviour of the QCD…

High Energy Physics - Phenomenology · Physics 2020-03-18 Vittorio Del Duca , Claude Duhr , Rayan Haindl , Achilleas Lazopoulos , Martin Michel

Motivated by the recent calculation of the SL(K+3,C) symmetry of n-point Lauricella string scattering amplitudes (SSA) of open bosonic string theory, we calculate ratios of the solvable infinite linear relations of arbitrary n-point hard…

High Energy Physics - Theory · Physics 2023-04-10 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

We discover a general stringy scaling behavior for 1. All n-point hard string scattering amplitudes (HSSA) and 2. A class of n-point Regge string scattering amplitudes (RSSA) to all string loop orders. The number of independent kinematics…

High Energy Physics - Theory · Physics 2024-08-26 Sheng-Hong Lai , Jen-Chi Lee , Yi Yang

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

In this paper, we explore the open string amplitude's dual role as a space-time S-matrix and a 1D CFT correlation function. We pursue this correspondence in two directions. First, beginning with a general disk integrand dressed with a…

High Energy Physics - Theory · Physics 2021-05-05 Yu-tin Huang , Jin-Yu Liu , Laurentiu Rodina , Yihong Wang