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Single-minus tree-level $n$-graviton scattering amplitudes are revisited. Often presumed to vanish, they are shown here to be nonvanishing for certain "half-collinear" configurations existing in Klein space or for complexified momenta. A…

High Energy Physics - Theory · Physics 2026-03-11 Alfredo Guevara , Alexandru Lupsasca , David Skinner , Andrew Strominger , Kevin Weil

It is a common lore that the amplitude for a scattering process involving one soft Nambu--Goldstone boson should scale like an integer power of the soft momentum. We revisit this expectation by considering the $2 \to 2$ scattering of…

High Energy Physics - Theory · Physics 2022-06-13 Tomáš Brauner , Angelo Esposito , Riccardo Penco

The spin-4/3 fractional superstring is characterized by a chiral algebra involving a spin-4/3 current on the world-sheet in addition to the energy-momentum tensor. These currents generate physical state conditions on the fractional…

High Energy Physics - Theory · Physics 2007-05-23 Philip Argyres

We consider the singular behaviour of tree-level QCD amplitudes when the momenta of three partons become simultaneously parallel. We discuss the universal factorization formula that controls the singularities of the multiparton matrix…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Catani , M. Grazzini

Type I string theory in the presence of internal magnetic fields provides a concrete realization of split supersymmetry. To lowest order, gauginos are massless while squarks and sleptons are superheavy. For weak magnetic fields, the correct…

High Energy Physics - Theory · Physics 2016-09-06 I. Antoniadis

We report on progress made in the construction of higher-derivative superinvariants for type-II theories in ten dimensions. The string amplitude calculations required for this analysis exhibit interesting features which have received little…

High Energy Physics - Theory · Physics 2009-11-07 Kasper Peeters , Pierre Vanhove , Anders Westerberg

We give an explicit formula for all tree amplitudes in N=4 SYM, derived by solving the recently presented supersymmetric tree-level recursion relations. The result is given in a compact, manifestly supersymmetric form and we show how to…

High Energy Physics - Theory · Physics 2009-04-17 J. M. Drummond , J. M. Henn

Over the past couple of years we have had significant progress in determining long-distance singularities in gauge-theory scattering amplitudes of massless particles beyond the planar limit. Upon considering all kinematic invariants much…

High Energy Physics - Phenomenology · Physics 2018-01-11 Einan Gardi

We study the three-particle and four-particle scattering amplitudes for an arbitrary, finite number of massive scalars, spinors and vectors by employing the on-shell massive spinor formalism. We consider the most general three-particle…

High Energy Physics - Theory · Physics 2022-12-02 Da Liu , Zhewei Yin

We discuss recursion relations for scattering amplitudes with massive particles of any spin. They are derived via a two-parameter shift of momenta, combining a BCFW-type spinor shift with the soft limit of a massless particle involved in…

High Energy Physics - Theory · Physics 2023-01-11 Adam Falkowski , Camila S. Machado

We study all tree-level split helicity gluon amplitudes by using the recently proposed BCFW recursion relation and Hodges diagrams in ambitwistor space. We pick out the contributing diagrams and find that all of them can be divided into…

High Energy Physics - Theory · Physics 2010-01-07 Bin Chen , Jun-Bao Wu

This thesis is concerned with the study of scattering amplitudes in four-dimensional conformal field theories, more particularly the N=4 super-Yang-Mills theory. We study this theory first at tree level by using twistor space techniques and…

High Energy Physics - Theory · Physics 2008-10-09 C. Vergu

The full two-loop amplitudes for five massless states in Type~II and Heterotic superstrings are constructed in terms of convergent integrals over the genus-two moduli space of compact Riemann surfaces and integrals of Green functions and…

High Energy Physics - Theory · Physics 2020-07-06 Eric D'Hoker , Carlos R. Mafra , Boris Pioline , Oliver Schlotterer

The scattering equations provide a powerful framework for the study of scattering amplitudes in a variety of theories. Their derivation from ambitwistor string theory led to proposals for formulae at one loop on a torus for 10 dimensional…

High Energy Physics - Theory · Physics 2016-04-20 Yvonne Geyer , Lionel Mason , Ricardo Monteiro , Piotr Tourkine

The well known Adler zero can fully determine tree amplitudes of non-linear sigma model (NLSM), but fails to fix tree pion amplitudes with higher-derivative interactions. To fill this gap, in this paper we propose a new method based on…

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

We study the soft behavior of string scattering amplitudes at three level with massless and massive external insertions, relying on different techniques to compute 4-points amplitudes respectively with open or closed strings.

High Energy Physics - Theory · Physics 2016-01-15 Massimo Bianchi , Andrea L. Guerrieri

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…

High Energy Physics - Theory · Physics 2014-06-11 Freddy Cachazo , Andrew Strominger

The particle spectrum of the supersymmetric extension of the standard model with a gauge singlet is studied. Soft supersymmetry breaking terms are explicitly chosen to be non-universal according to orbifold string theory. they depend on…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ph. Brax , U. Ellwanger , C. A. Savoy

We use the universality of single soft behavior, together with the double copy structure, to completely determine the tree amplitudes of non-linear sigma model (NLSM). We first figure out the Adler's zero for $4$-point NLSM amplitudes, by…

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

We discuss the properties of recently constructed "single-valued" celestial four-gluon amplitudes. We show that the amplitude factorizes into the "current" part and the "scalar" part. The current factor is given by the group-dependent part…

High Energy Physics - Theory · Physics 2022-10-19 Wei Fan , Angelos Fotopoulos , Stephan Stieberger , Tomasz R. Taylor , Bin Zhu