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Related papers: On-shell Recursion in String Theory

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We extend the argument presented by Benincasa, Boucher-Veronneau, and Cachazo to show that graviton tree amplitudes are well behaved under large complex deformations of the momenta of a pair of like-helicity gravitons. This shows that BCFW…

High Energy Physics - Theory · Physics 2008-11-26 Anthony Hall

We study in detail the general structure and further properties of the tree-level amplitudes in the SU(N) nonlinear sigma model. We construct the flavor-ordered Feynman rules for various parameterizations of the SU(N) fields U(x), write…

High Energy Physics - Theory · Physics 2015-06-15 Karol Kampf , Jiri Novotny , Jaroslav Trnka

We study closed string exchanges in background $B$-field. By analysing the two point one loop amplitude in bosonic string theory, we show that tree-level exchange of lowest lying, tachyonic and massless closed string modes, have IR…

High Energy Physics - Theory · Physics 2009-11-11 S. Sarkar , B. Sathiapalan

Bipartite on-shell diagrams are the latest tool in constructing scattering amplitudes. In this paper we prove that a Britto-Cachazo-Feng-Witten (BCFW)-decomposable on-shell diagram process a rational top-form if and only if the algebraic…

High Energy Physics - Theory · Physics 2019-01-23 Baoyi Chen , Gang Chen , Yeuk-Kwan E. Cheung , Yunxuan Li , Ruofei Xie , Yuan Xin

We evaluate all split helicity gluon tree amplitudes in open twistor string theory. We show that these amplitudes satisfy the BCFW recurrence relations restricted to the split helicity case and, hence, that these amplitudes agree with those…

High Energy Physics - Theory · Physics 2012-09-10 Louise Dolan , Peter Goddard

We show that Britto-Cachazo-Feng-Witten (BCFW) recursion relations can be used to compute all tree level scattering amplitudes in terms of $2\rightarrow2$ scattering amplitude in $U(N)$ ${\mathcal N}=2$ Chern-Simons (CS) theory coupled to…

High Energy Physics - Theory · Physics 2018-10-17 Karthik Inbasekar , Sachin Jain , Pranjal Nayak , V. Umesh

We investigate the application of the BCFW recursion relation to scattering amplitudes with one off-shell particle in a Yang-Mills theory with fermions. We provide a set of conditions of applicability of the BCFW recursion, stressing some…

High Energy Physics - Phenomenology · Physics 2016-11-15 A. van Hameren , M. Serino

We extend an earlier proposal for a gauge invariant description of off-shell open strings (at tree level), using loop variables, to off-shell closed strings (at tree level). The basic idea is to describe the closed string amplitudes as a…

High Energy Physics - Theory · Physics 2009-11-10 B. Sathiapalan

We calculate gauge theory one-loop amplitudes with the aid of the complex shift used in the Britto-Cachazo-Feng-Witten (BCFW) recursion relations of tree amplitudes. We apply the shift to the integrand and show that the contribution from…

High Energy Physics - Theory · Physics 2013-05-30 Savan Kharel , George Siopsis

Bipartite on-shell diagrams are the latest tool in constructing scattering amplitudes. In this paper we prove that a Britto-Cachazo-Feng-Witten (BCFW)-decomposable on-shell diagram process a rational top-form if and only if the algebraic…

High Energy Physics - Theory · Physics 2018-02-20 Baoyi Chen , Gang Chen , Yeuk-Kwan E. Cheung , Ruofei Xie , Yuan Xin

We show that closed string states in bosonic string field theory are encoded in the cyclic cohomology of cubic open string field theory (OSFT) which, in turn, classifies the deformations of OSFT. This cohomology is then shown to be…

High Energy Physics - Theory · Physics 2011-07-21 Nicolas Moeller , Ivo Sachs

We return to and refine Zwiebach's formulation of closed string field theory (CSFT) built around non-critical backgrounds [1,2], restricting our attention to genus zero. The structure involves a special string state $F$ that encodes the…

High Energy Physics - Theory · Physics 2026-05-22 Amr Ahmadain , Alexander Frenkel , Xi Yin

We use the recently developed massive spinor-helicity formalism [1] of Arkani- Hamed et al. to propose a new class of recursion relations for tree-level amplitudes in gauge theories. These relations are based on a combined complex…

High Energy Physics - Theory · Physics 2021-05-13 Sourav Ballav , Arkajyoti Manna

On-shell recursion relation has been recognized as a powerful tool for calculating tree level amplitudes in quantum field theory, but it doesn't work well when the residue of the deformed amplitude $\hat{A}(z)$ doesn't vanish at infinity of…

High Energy Physics - Theory · Physics 2020-12-02 Chang Hu , Xiao-Di Li , Yi Li

We derive on-shell recursion relations for nonrelativistic effective field theories (EFTs) with enhanced soft limits. The recursion relations are illustrated through analytic calculation of tree-level scattering amplitudes in theories with…

High Energy Physics - Theory · Physics 2022-01-07 Martin A. Mojahed , Tomas Brauner

Recently it has been shown that in gauge theories amplitudes to any perturbation order can be obtained by glueing together simple three-point on-shell amplitudes. These three-point amplitudes in turn are fixed by locality and Lorentz…

High Energy Physics - Phenomenology · Physics 2019-12-04 M. Maniatis

We address the conjecture that at the tachyonic vacuum open strings get transformed into closed strings. We show that it is possible in the context of boundary string field theory to interpolate between the conventional open string theory,…

High Energy Physics - Theory · Physics 2015-06-26 J. Ambjorn , R. A. Janik

We show that the boundary string field theory (BSFT) on unstable D0-branes in 2d string theory is equivalent to the double scaled c=1 matrix model (i.e. quadratic action), even though we naively expect many interaction terms in BSFT. It is…

High Energy Physics - Theory · Physics 2009-11-11 Tadashi Takayanagi , Seiji Terashima

This article studies methods to obtain relations for scattering amplitudes at the loop level, with concrete examples at one loop. These methods originate in the analysis of large so-called Britto-Cachazo-Feng-Witten shifts of tree level…

High Energy Physics - Theory · Physics 2015-05-30 Rutger H. Boels , Reinke Sven Isermann

We investigate the tree-level S-matrix in gauge theories and open superstring theory with several soft particles. We show that scattering amplitudes with two or three soft gluons of non-identical helicities behave universally in the limit,…

High Energy Physics - Theory · Physics 2015-07-31 Anastasia Volovich , Congkao Wen , Michael Zlotnikov