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We demonstrate that the tree level amplitudes and the explicit formulas of soft factors can be uniquely determined by soft theorems and the universality of soft factors. By imposing the soft theorems and the universality, as well as the…

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

We analyse the high-energy behavior of tree-level graviton Compton amplitudes for particles of mass m and arbitrary spin, concentrating on a combination of forward amplitudes that will be unaffected by eventual cross- couplings to other,…

High Energy Physics - Theory · Physics 2008-11-26 A. Cucchieri , S. Deser , M. Porrati

We present on the use of on-shell recursion relations. These can be used not only for calculating tree amplitudes, including those with masses, but also to compute analytically the missing rational terms of one-loop QCD amplitudes. Combined…

High Energy Physics - Phenomenology · Physics 2017-08-23 Darren Forde

We show that the tree-level spectrum of heavy particles can be directly extracted from the Wilson coefficients of the corresponding effective field theory at low energies. This procedure is exact when the number of resonances is finite, and…

High Energy Physics - Theory · Physics 2026-04-20 Francesco Calisto , Clifford Cheung , Grant N. Remmen , Francesco Sciotti , Michele Tarquini

We present the first calculation of two-quark and five-gluon tree amplitudes using on-shell recursion relations. These amplitudes are needed for tree level 5-jet cross-section and an essential ingredient for next-to-leading order 4-jet and…

High Energy Physics - Phenomenology · Physics 2015-06-25 Daniel de Florian , Jose Zurita

Recently introduced massive spinors are written as 2-vectors consisting of two massless spinors with opposite helicities. With this notation a couple of relations between them can be derived easily, entirely avoiding the spinor indices. The…

High Energy Physics - Phenomenology · Physics 2020-10-29 Clemens Heuson

We compute two infinite series of tree-level amplitudes with a massive scalar pair and an arbitrary number of gluons. We provide results for amplitudes where all gluons have identical helicity, and amplitudes with one gluon of opposite…

High Energy Physics - Theory · Physics 2009-11-11 Darren Forde , David A. Kosower

We analyze the tree-level 2->2 scattering of massive spin-2 bosons in a theory with only relevant and marginal operators and extract the sum rules on the coupling constants and masses required to achieve tree-level unitarity to very high…

High Energy Physics - Phenomenology · Physics 2014-07-03 Neil D. Christensen , Stefanus

We study the compatibility of recursive techniques with the classical limit of scattering amplitudes through the construction of the classical Compton amplitude for general spinning compact objects. This is done using BCFW recursion on…

High Energy Physics - Theory · Physics 2023-06-07 Kays Haddad

Witten's twistor string theory has led to new representations of S-matrix in massless QFT as a single object, including Cachazo-He-Yuan formulas in general and connected formulas in four dimensions. As a first step towards more realistic…

High Energy Physics - Theory · Physics 2017-04-05 Song He , Yong Zhang

In this paper, we extensively investigate the new algorithm known as the multi-step BCFW recursion relations. Many interesting mathematical properties are found and understanding these aspects, one can find a systematic way to complete the…

High Energy Physics - Theory · Physics 2015-07-21 Bo Feng , Junjie Rao , Kang Zhou

We use on-shell methods to compute all three-point interactions of massive spin-3/2 particles involving a graviton and particles of spin $\leq 1$. By employing the massive spinor-helicity formalism we identify the interactions which have a…

High Energy Physics - Phenomenology · Physics 2024-08-30 Tony Gherghetta , Wenqi Ke

In this note, we propose a novel BCFW-like recursion relation for tree-level non-linear sigma model (NLSM) amplitudes, which circumvents the computation of boundary terms by exploiting the recently discovered hidden zeros. Using this…

High Energy Physics - Theory · Physics 2026-05-05 Xiaodi Li , Kang Zhou

In this paper, we study the tree amplitudes with gluons coupled to gravitons. We first study the relations among the mixed amplitudes. With BCFW on-shell recursion relation, we will show the color-order reversed relation, $U(1)$-decoupling…

High Energy Physics - Theory · Physics 2011-01-27 Yi-Xin Chen , Yi-Jian Du , Bo Feng

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

Following the proposal of arXiv:1312.6673, multi-particle scattering amplitudes are represented as conserved higher-spin charges. The advantage of such reformulation is that multi-particle amplitudes acquire the form of an integral of a…

High Energy Physics - Theory · Physics 2020-01-08 Y. O. Goncharov , M. A. Vasiliev

We propose a new, chiral description for massive higher-spin particles in four spacetime dimensions, which facilitates the introduction of consistent interactions. As proof of concept, we formulate three theories, in which higher-spin…

High Energy Physics - Theory · Physics 2022-12-14 Alexander Ochirov , Evgeny Skvortsov

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

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 study the scattering amplitudes of mass-deformed Chern-Simons theories and Yang-Mills-Chern-Simons theories with N=2 supersymmetry in three dimensions. In particular, we derive the on-shell supersymmetry algebras which underlie the…

High Energy Physics - Theory · Physics 2014-03-05 Abhishek Agarwal , Arthur E. Lipstein , Donovan Young