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Related papers: Soft Theorem of N=4 SYM in Grassmannian Formulatio…

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The computation of n-point planar amplitudes in N=4 SYM at strong coupling is known to be reduced to the search for solutions of the integrable 2d SO(4,2) sigma-model with growing asymptotics on the world-sheet and to the study of their…

High Energy Physics - Theory · Physics 2009-06-11 A. Mironov , A. Morozov , T. N. Tomaras

We study tree-level celestial amplitudes in Yang-Mills theory -- Mellin transforms of multi-gluon scattering amplitudes that convert them into the correlators of conformal primary fields on two-dimensional celestial sphere. By using purely…

High Energy Physics - Theory · Physics 2019-06-26 Wei Fan , Angelos Fotopoulos , Tomasz R. Taylor

We give a self-contained discussion of recent progress in computing the non-perturbative effects of small non-holomorphic soft supersymmetry breaking, including a simple new derivation of these results based on an anomaly-free gauged U(1)_R…

High Energy Physics - Theory · Physics 2010-02-03 Markus A. Luty , Riccardo Rattazzi

We consider the role of supersymmetry breaking soft terms that are present in generalized Narain compactifications of heterotic string theory, in which local supersymmetry is spontaneously broken, with gravitino masses being inversely…

High Energy Physics - Theory · Physics 2009-10-30 Imran Shah , Steven Thomas

Soft limits of massless S-matrix are known to reflect symmetries of the theory. In particular for theories with Goldstone bosons, the double-soft limit of scalars reveals the coset structure of the vacuum manifold. In this letter, we…

High Energy Physics - Theory · Physics 2015-07-23 Wei-Ming Chen , Yu-tin Huang , Congkao Wen

We show that in supersymmetric theories, knowing the soft theorem for a single particle in a supermultiplet allows one to immediately determine soft theorems for the remainder of the supermultiplet. While soft theorems in supersymmetric…

High Energy Physics - Theory · Physics 2025-05-07 Adam Tropper

In this letter we show that the soft behaviour of photons and graviton amplitudes, after projection, can be determined to infinite order in soft expansion via ordinary on-shell gauge invariance. In particular, as one of the particle's…

High Energy Physics - Theory · Physics 2018-08-15 Zhi-Zhong Li , Hung-Hwa Lin , Shun-Qing Zhang

We discuss the soft behaviour of open string amplitudes with gluons and massive states in any dimension. Notwithstanding non-minimal couplings of massive higher spin states to gluons, relying on OPE and factorization, we argue that the…

High Energy Physics - Theory · Physics 2015-10-28 Massimo Bianchi , Andrea L. Guerrieri

We study the commutative limit of the non-commutative maximally supersymmetric Yang-Mills theory in four dimensions (N=4 SYM). The commutative limits of non-commutative spaces are important in particular in the applications of…

High Energy Physics - Theory · Physics 2015-05-20 Masanori Hanada , Hidehiko Shimada

We derive a universal soft theorem for every scattering amplitude with at least one massless particle in an arbitrary theory of scalars. Our results follow from the geometry of field space and are valid for any choice of mass spectrum,…

High Energy Physics - Theory · Physics 2022-04-20 Clifford Cheung , Andreas Helset , Julio Parra-Martinez

In this note we show that the recent conjecture proposed by Cachazo and Strominger holds at tree level in arbitrary dimensions. The proof makes crucial use of the fact that the sub-leading operator is defined using the total angular…

High Energy Physics - Theory · Physics 2014-05-15 Nima Afkhami-Jeddi

In this article we use the sub$^n$-soft graviton theorems to construct the map $\Top$ from the spin-graded set of holomorphic functions on local celestial sphere patches to differential operators acting on the asymptotic data for massless…

High Energy Physics - Theory · Physics 2026-05-11 Mathias Charbonnier , Javier Peraza

As part of the Snowmass community planning exercise, we highlight an ongoing program of research into the structure of scattering amplitudes in N=4 super-Yang-Mills theory, particularly in the planar limit of a large number of colors. This…

High Energy Physics - Theory · Physics 2022-07-22 Nima Arkani-Hamed , Lance J. Dixon , Andrew J. McLeod , Marcus Spradlin , Jaroslav Trnka , Anastasia Volovich

We study the four-point function of the lowest-lying half-BPS operators in the ${\cal N} =4$ $SU(N)$ super-Yang-Mills theory and its relation to the flat-space four-graviton amplitude in type IIB superstring theory. We work in a large-$N$…

High Energy Physics - Theory · Physics 2020-12-02 Shai M. Chester , Michael B. Green , Silviu S. Pufu , Yifan Wang , Congkao Wen

It has been shown that in larger than four space-time dimensions, soft factors that relate the amplitudes with a soft photon or graviton to amplitudes without the soft particle also determine the low frequency radiative part of the…

High Energy Physics - Theory · Physics 2018-11-14 Alok Laddha , Ashoke Sen

We introduce new variables in four dimensional SU(N) Yang-Mills theory. These variables emerge when we sum the path integral over classical solutions and represent the summation as an integral over appropriate degrees of freedom. In this…

High Energy Physics - Theory · Physics 2007-05-23 Jussi Kalkkinen , Antti J. Niemi

In this letter we discuss new soft theorems for the Goldstone boson amplitudes with non-vanishing soft limits. The standard argument is that the non-linearly realized shift symmetry leads to the vanishing of scattering amplitudes in the…

High Energy Physics - Theory · Physics 2020-03-25 Karol Kampf , Jiri Novotny , Mikhail Shifman , Jaroslav Trnka

A dual formulation of the S Matrix for N=4 SYM has recently been presented, where all leading singularities of n-particle N^{k-2}MHV amplitudes are given as an integral over the Grassmannian G(k,n), with cyclic symmetry, parity and…

High Energy Physics - Theory · Physics 2015-05-14 Nima Arkani-Hamed , Freddy Cachazo , Clifford Cheung

The renormalization of supersymmetric Yang-Mills theories with soft supersymmetry breaking is presented using spurion fields for introducing the breaking terms. It is proven that renormalization of the fields and parameters in the classical…

High Energy Physics - Phenomenology · Physics 2011-07-19 W. Hollik , E. Kraus , D. Stöckinger

We demonstrate that soft SUSY breaking introduced via replacement of the couplings of a rigid theory by spurion superfields has far reaching consequences. Substituting these modified couplings into renormalization constants, RG equations,…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. I. Kazakov