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Related papers: On-shell recursion relations for higher-spin Compt…

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We study the All-Line Transverse (ALT) shift which we developed for on-shell recursion of amplitudes for particles of any mass. We discuss the validity of the shift for general theories of spin $\leq$ 1, and illustrate the connection…

High Energy Physics - Phenomenology · Physics 2024-11-14 Yohei Ema , Ting Gao , Wenqi Ke , Zhen Liu , Kun-Feng Lyu , Ishmam Mahbub

We consider on-shell recursion relations for all Born QCD amplitudes. This includes amplitudes with several pairs of quarks and massive quarks. We give a detailed description on how to shift the external particles in spinor space and…

High Energy Physics - Phenomenology · Physics 2010-10-27 Christian Schwinn , Stefan Weinzierl

We study the three-particle and four-particle scattering amplitudes for an arbitrary, finite number of massive scalars, spinors and vectors by employing the on-shell massive spinor formalism. We consider the most general three-particle…

High Energy Physics - Theory · Physics 2022-12-02 Da Liu , Zhewei Yin

We utilize three point amplitudes with (spinning) particles of unequal mass and a graviton to capture the dynamics of absorption processes. We demonstrate that the construction can represent the spheroidal harmonics appearing in the…

High Energy Physics - Theory · Physics 2023-12-08 Yu-Jui Chen , Tien Hsieh , Yu-Tin Huang , Jung-Wook Kim

This article provides an introduction to on-shell recursion relations for calculations of tree-level amplitudes. Starting with the basics, such as spinor notations and color decompositions, we expose analytic properties of gauge-boson…

High Energy Physics - Theory · Physics 2013-10-11 Bo Feng , Mingxing Luo

We apply on-shell methods to the bottom-up construction of electroweak amplitudes, allowing for both renormalizable and non-renormalizable interactions. We use the little-group covariant massive-spinor formalism, and flesh out some of its…

High Energy Physics - Phenomenology · Physics 2020-04-15 Gauthier Durieux , Teppei Kitahara , Yael Shadmi , Yaniv Weiss

We recently introduced a recursive bootstrap method for constructing $n$-point gluon and graviton Mellin-momentum amplitudes in (A)dS spacetime. The power of this approach was illustrated by our successful computation of the first…

High Energy Physics - Theory · Physics 2024-10-08 Jiajie Mei , Yuyu Mo

We develop an on-shell approach to study black hole mergers. Since, asymptotically, the initial and final states can be described by point-like spinning particles, we propose a massive three-point amplitude for the merger of two…

High Energy Physics - Theory · Physics 2024-12-24 Katsuki Aoki , Andrea Cristofoli , Yu-tin Huang

On-shell methods offer an alternative definition of quantum field theory at tree-level, replacing Feynman diagrams with recursion relations and interaction vertices with a handful of seed scattering amplitudes. In this paper we determine…

High Energy Physics - Theory · Physics 2015-11-10 Clifford Cheung , Chia-Hsien Shen , Jaroslav Trnka

We apply the on-shell amplitude techniques in the domain of dark matter. Without evoking fields and Lagrangians, an effective theory for a massive spin-$S$ particle is defined in terms of on-shell amplitudes, which are written down using…

High Energy Physics - Phenomenology · Physics 2021-05-12 Adam Falkowski , Giulia Isabella , Camila S. Machado

In this paper, we continue our investigation of gravitational interactions for massive higher spins, extending our recent work on massive spin 5/2 to massive spin 3, including its massless and partially massless limits. To construct the…

High Energy Physics - Theory · Physics 2025-10-31 Yu. M. Zinoviev

Off-shell higher spin N=2 supermultiplets in three spacetime dimensions (3D) are presented in this paper. We propose gauge prepotentials for higher spin superconformal gravity and construct the corresponding gauge-invariant field strengths,…

High Energy Physics - Theory · Physics 2016-11-30 Sergei M. Kuzenko , Daniel X. Ogburn

We discuss the dRGT massive gravity interacting with spin-0, spin-1/2, or spin-1 matter. The effective theory of a massive spin-2 particle coupled to matter particles is constructed directly at the amplitude level. In this setting we…

High Energy Physics - Theory · Physics 2020-04-07 Adam Falkowski , Giulia Isabella

We explicitly compute the (NS) sector conventional type-I superstring tree-level amplitudes at five points after compactifying to 4-D, express the QFT building block in the helicity basis, and give several attempts towards arbitrary $n$…

High Energy Physics - Theory · Physics 2024-01-19 Chen Huang

Using the recently derived higher spin gravitational Compton amplitude from low-energy analytically continued ($a/Gm\gg1$) solutions of the Teukolsky equation for the scattering of a gravitational wave off the Kerr black hole, observables…

High Energy Physics - Theory · Physics 2023-09-28 Yilber Fabian Bautista

We introduce on-shell variables for Heavy Particle Effective Theories (HPETs) with the goal of extending Heavy Black Hole Effective Theory to higher spins and of facilitating its application to higher post-Minkowskian orders. These…

High Energy Physics - Theory · Physics 2020-06-24 Rafael Aoude , Kays Haddad , Andreas Helset

Quantum higher-spin theory applied to Compton amplitudes has proven to be surprisingly useful for elucidating Kerr black hole dynamics. Here we apply the framework to compute scattering amplitudes and observables for a binary system of two…

High Energy Physics - Theory · Physics 2025-06-27 Lara Bohnenblust , Lucile Cangemi , Henrik Johansson , Paolo Pichini

We discuss recursion relations for scattering amplitudes with massive particles of any spin. They are derived via a two-parameter shift of momenta, combining a BCFW-type spinor shift with the soft limit of a massless particle involved in…

High Energy Physics - Theory · Physics 2023-01-11 Adam Falkowski , Camila S. Machado

We analyze the off-shell scattering amplitudes in the framework of the light-front perturbation theory. It is shown that the previously derived recursion relation between tree level off-shell amplitudes in this formalism actually resums…

High Energy Physics - Phenomenology · Physics 2015-06-24 C. Cruz-Santiago , P. Kotko , A. Stasto

We present new recursion relations for tree amplitudes in gauge theory that give very compact formulas. Our relations give any tree amplitude as a sum over terms constructed from products of two amplitudes of fewer particles multiplied by a…

High Energy Physics - Theory · Physics 2008-11-26 Ruth Britto , Freddy Cachazo , Bo Feng