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Related papers: Scattering amplitudes for eight gauge fields

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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 calculate one-loop scattering amplitudes for gravitons and two-forms in dimensions greater than four. The string based Kawai-Lewellen-Tye relationships allow gravitons and two-forms to be treated in a unified manner. We use the results…

High Energy Physics - Theory · Physics 2017-01-25 David C. Dunbar , Nicolaus W. P. Turner

The calculation of scattering amplitudes in Yang-Mills theory at loop level is important for the analysis of background processes at particle colliders as well as our understanding of perturbation theory at the quantum level. We present…

High Energy Physics - Theory · Physics 2013-05-30 Rutger H. Boels , Reinke Sven Isermann

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

We prove in two ways that, for a special class of nonlocal field theories consistent with linear and non-linear stability at the classical level, and with unitarity and super-renormalizability or finiteness at the quantum level, the…

High Energy Physics - Theory · Physics 2021-10-29 Leonardo Modesto , Gianluca Calcagni

This paper investigates how tree-level amplitudes with massless quarks, gluons and/or massless scalars transforming under a single copy of the gauge group can be expressed in the context of the scattering equations as a sum over the…

High Energy Physics - Theory · Physics 2015-03-04 Stefan Weinzierl

Attached to both Yang-Mills and General Relativity about Minkowski spacetime are distinguished gauge independent objects known as the on-shell tree scattering amplitudes. We reinterpret and rigorously construct them as $L_\infty$ minimal…

Mathematical Physics · Physics 2022-07-12 Andrea Nützi , Michael Reiterer

We give a comprehensive review of recent developments on using the pure spinor formalism to compute massless superstring scattering amplitudes at tree level. The main results of the pure spinor computations are placed into the context of…

High Energy Physics - Theory · Physics 2023-05-24 Carlos R. Mafra , Oliver Schlotterer

Tree-level scattering amplitudes of particles have a geometrical description in terms of intersection numbers of pairs of twisted differential forms on the moduli space of Riemann spheres with punctures. We customize a catalog of twisted…

High Energy Physics - Theory · Physics 2022-12-26 Pouria Mazloumi , Stephan Stieberger

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

Basing on the Slavnov-Taylor identities, we derive a new prescription to obtain gauge invariant tree-level scattering amplitudes for the process g*g->Ng within high energy factorization. Using the helicity method, we check the formalism up…

High Energy Physics - Phenomenology · Physics 2013-01-18 Andreas van Hameren , Piotr Kotko , Krzysztof Kutak

We show that a wide class of tree-level scattering amplitudes involving scalars, gauge bosons, and gravitons, up to three of which may be massive, can be expressed in terms of a Cachazo-He-Yuan representation as a sum over solutions of the…

High Energy Physics - Theory · Physics 2015-06-11 Stephen G. Naculich

We analyse the singular behaviour of one-loop integrals and scattering amplitudes in the framework of the loop--tree duality approach. We show that there is a partial cancellation of singularities at the loop integrand level among the…

High Energy Physics - Phenomenology · Physics 2015-06-19 Sebastian Buchta , Grigorios Chachamis , Petros Draggiotis , Ioannis Malamos , German Rodrigo

We explicitly compute the Compton amplitude for the scattering of a photon and a (massless) ``electron/positron'' at tree level and one loop, in a four-dimensional fermionic heterotic string model. We comment on the relationship between the…

High Energy Physics - Theory · Physics 2009-10-30 A. Pasquinucci , M. Petrini

We show that a natural spinor-helicity formalism that can describe massive scattering amplitudes exists in $D=6$ dimensions. This is arranged by having helicity spinors carry an index in the Dirac spinor {\bf 4} of the massive little group,…

High Energy Physics - Theory · Physics 2019-05-01 Rishabh Jha , Chethan Krishnan , K. V. Pavan Kumar

The field of scattering amplitudes plays a central role in elementary-particle physics. This includes various problems of broader interest for collider physics, gravitational physics, and fundamental principles underlying quantum field…

High Energy Physics - Theory · Physics 2022-10-10 Zvi Bern , Jaroslav Trnka

In this talk we describe the application of the AdS/CFT correspondence for a confining background to the study of high energy scattering amplitudes in gauge theory. We relate the energy behaviour of scattering amplitudes to properties of…

High Energy Physics - Theory · Physics 2007-05-23 Romuald A. Janik

New methods are introduced for the description and evaluation of tree-level gravitational scattering amplitudes. An N=7 super-symmetric recursion, free from spurious double poles, gives a more efficient method for evaluating MHV amplitudes.…

High Energy Physics - Theory · Physics 2011-08-26 Andrew Hodges

Recently, an extension of the BCFW on-shell recursion relation suitable to compute gauge invariant scattering amplitudes with off-shell particles has been presented for Yang-Mills theories with fermions. In particular, 4- and 5-point…

High Energy Physics - Phenomenology · Physics 2015-10-28 Mirko Serino

We calculate various tree-level (disk) scattering amplitudes involving gauge, matter and moduli fields in type IIB toroidal orbifold/orientifold backgrounds with D9,D5 respectively D7,D3-branes or via T-duality D6-branes in type IIA…

High Energy Physics - Theory · Physics 2008-11-26 D. Lust , P. Mayr , R. Richter , S. Stieberger