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We present a method for the direct extraction of rational contributions to one-loop scattering amplitudes, missed by standard four-dimensional unitarity techniques. We use generalised unitarity in $D=4-2\e$ dimensions to write the loop…

High Energy Physics - Phenomenology · Physics 2009-01-27 S. D. Badger

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

The study of amplitudes and cross sections in the soft and collinear limits allows for an understanding of their all orders behavior, and the identification of universal structures. At leading power soft emissions are eikonal, and described…

High Energy Physics - Phenomenology · Physics 2020-04-08 Ian Moult , Iain W. Stewart , Gherardo Vita

We use 4d ambitwistor string theory to derive new worldsheet formulae for tree-level conformal supergravity amplitudes supported on refined scattering equations. Unlike the worldsheet formulae for super-Yang-Mills or supergravity, the…

High Energy Physics - Theory · Physics 2018-07-12 Joseph A. Farrow , Arthur E. Lipstein

It was proposed in hep-th/0403047 that all tree amplitudes in pure Yang-Mills theory can be constructed from known MHV amplitudes. We apply this approach for calculating tree amplitudes of gauge fields and fermions and find agreement with…

High Energy Physics - Theory · Physics 2010-02-03 George Georgiou , Valentin V. Khoze

We evaluate in great detail one-loop four-graviton field theory amplitudes in pure N=4 D=4 supergravity. The expressions are obtained by taking the field theory limits of (4,0) and (2,2) space-time supersymmetric string theory models. For…

High Energy Physics - Theory · Physics 2013-05-30 Piotr Tourkine , Pierre Vanhove

We discuss how higher-point QCD amplitudes may be constructed from lower point ones by imposing the factorization constraints in the limits as external momenta become collinear. As a particular example, the all-$n$ gluon one-loop amplitude…

High Energy Physics - Phenomenology · Physics 2009-09-25 G. Chalmers

In the context of infrared subtraction algorithms beyond next-to-leading order, it becomes necessary to consider multiple infrared limits of scattering amplitudes, in which several particles become soft or collinear in a strongly-ordered…

High Energy Physics - Phenomenology · Physics 2024-03-19 Lorenzo Magnea , Calum Milloy , Chiara Signorile-Signorile , Paolo Torrielli

We consider scattering amplitudes in planar N = 4 supersymmetric Yang-Mills theory in special kinematics where all external four-dimensional momenta are restricted to a (1+1)-dimensional subspace. The amplitudes are known to satisfy…

High Energy Physics - Theory · Physics 2015-06-05 Timothy Goddard , Paul Heslop , Valentin V. Khoze

We consider the finite part of the leading local interactions in the low energy expansion of the four graviton amplitude from the ladder skeleton diagrams in maximal supergravity on T^2, at three and four loops. At three loops, we express…

High Energy Physics - Theory · Physics 2015-09-30 Anirban Basu

This thesis discusses how the pure spinor formalism can be used to efficiently compute superstring scattering amplitudes. We emphasize the pure spinor superspace form of the kinematic factors, where the simplifying features of this language…

High Energy Physics - Theory · Physics 2009-03-26 Carlos R. Mafra

We study the application of non-trivial relations between gravity tree amplitudes, the bonus relations, to all tree-level amplitudes in N=8 supergravity. We show that the relations can be used to simplify explicit formulae of supergravity…

High Energy Physics - Theory · Physics 2011-02-16 Song He , Dhritiman Nandan , Congkao Wen

We consider the factorization properties of on-shell QCD amplitudes with massive partons in the limit when all kinematical invariants are large compared to the parton mass and discuss the structure of their infrared singularities. The…

High Energy Physics - Phenomenology · Physics 2009-01-07 S. Moch , A. Mitov

We compute leading soft theorem for multiple gravitinos (and graviton) in an arbitrary theory of supergravity with an arbitrary number of finite energy particles with arbitrary mass and arbitrary spin by extending Sen's approach…

High Energy Physics - Theory · Physics 2019-06-26 Diksha Jain , Arnab Rudra

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

Following an argument advanced by Feynman, we consider a method for obtaining the effective action which generates the sum of tree diagrams with external physical particles. This technique is applied, in the unbroken \lambda \phi^4 theory,…

High Energy Physics - Theory · Physics 2009-10-28 Fernando T Brandt , Josif Frenkel

We study the infrared behaviour of tree-level QCD amplitudes and we derive infrared-factorization formulae that are valid at any perturbative order. We explicitly compute all the universal infrared factors that control the singularities in…

High Energy Physics - Phenomenology · Physics 2015-06-25 S. Catani , M. Grazzini

We study on-shell diagrams for gravity theories with any number of supersymmetries and find a compact Grassmannian formula in terms of edge variables of the graphs. Unlike in gauge theory where the analogous form involves only…

High Energy Physics - Theory · Physics 2016-12-21 Enrico Herrmann , Jaroslav Trnka

The BCFW recursion relations provide a powerful way to compute tree amplitudes in gauge theories and gravity, but only hold if some amplitudes vanish when two of the momenta are taken to infinity in a particular complex direction. This is a…

High Energy Physics - Theory · Physics 2014-11-18 Nima Arkani-Hamed , Jared Kaplan

We extend our analysis of the soft behaviour of string amplitudes with massive insertions to closed strings at tree level (sphere). Relying on our previous results for open strings on the disk and on KLT formulae we check universality of…

High Energy Physics - Theory · Physics 2016-03-23 Massimo Bianchi , Andrea L. Guerrieri
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