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Related papers: On-shell supersymmetry for massive multiplets

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We introduce a manifestly little group covariant on-shell superspace for massive particles in four dimensions using the massive spinor helicity formalism. This enables us to construct massive on-shell superfields and fully utilize on-shell…

High Energy Physics - Theory · Physics 2020-01-08 Aidan Herderschee , Seth Koren , Timothy Trott

We initiate a systematic study of the consequences of (super)conformal symmetry of massless scattering amplitudes. The classical symmetry is potentially broken at the quantum level by infrared and ultraviolet effects. We study its…

High Energy Physics - Theory · Physics 2019-02-20 Dmitry Chicherin , Johannes M. Henn , Emery Sokatchev

We use on-shell Supersymmetry to constrain the three-point function of two massless particles and one massive particle in 3+1 dimensions. We use this information to write down the tree-level four-point function of massless particles for…

High Energy Physics - Theory · Physics 2023-06-28 Mahesh K. N. Balasubramanian , Kushal Chakraborty , Arnab Rudra , Arnab Priya Saha

On-shell superspaces and associated spinor helicity techniques give an efficient formulation of the Ward identities of on-shell supersymmetry for scattering amplitudes and supply tools to construct their solutions. Based on these techniques…

High Energy Physics - Theory · Physics 2015-06-03 Rutger H. Boels

We use supersymmetric Ward identities to relate multi-gluon helicity amplitudes involving a pair of massive quarks to amplitudes with massive scalars. This allows to use the recent results for scalar amplitudes with an arbitrary number of…

High Energy Physics - Theory · Physics 2009-11-11 Christian Schwinn , Stefan Weinzierl

We review the extension of modern techniques for the calculation of helicity amplitudes in QCD to massive particles. The focus is on the use of supersymmetric Ward identites that relate amplitudes with massive quarks to those with massive…

High Energy Physics - Phenomenology · Physics 2008-11-26 Rutger Boels , Christian Schwinn , Stefan Weinzierl

We introduce a formalism for describing four-dimensional scattering amplitudes for particles of any mass and spin. This naturally extends the familiar spinor-helicity formalism for massless particles to one where these variables carry an…

High Energy Physics - Theory · Physics 2021-11-02 Nima Arkani-Hamed , Tzu-Chen Huang , Yu-tin Huang

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 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

An on-shell formalism for the computation of S-matrices of SYM theories in three spacetime dimensions is presented. The framework is a generalization of the spinor-helicity formalism in four dimensions. The formalism is applied to establish…

High Energy Physics - Theory · Physics 2011-08-03 Abhishek Agarwal , Donovan Young

Conformal symmetry underlies many massless quantum field theories, but little is known about the consequences of this powerful symmetry for on-shell scattering amplitudes. Working in a dimensionally-regularised $\phi^3$ model at the…

High Energy Physics - Theory · Physics 2023-07-05 Dmitry Chicherin , Johannes Henn , Simone Zoia

We explore the on-shell recursion for tree-level scattering amplitudes with massive spinning particles. Based on the factorization structure encoded in the same way by two different recursion relations, we conjecture an all-multiplicity…

High Energy Physics - Theory · Physics 2022-03-03 Achilleas Lazopoulos , Alexander Ochirov , Canxin Shi

We develop a spinor helicity formalism for five-dimensional scattering amplitudes of any mass and spin configuration. While five-dimensional spinor helicity variables have been previously studied in the context of N=2,4 supersymmetric…

High Energy Physics - Theory · Physics 2024-05-16 Andrzej Pokraka , Smita Rajan , Lecheng Ren , Anastasia Volovich , W. Wayne Zhao

Based on the general principles of Lorentz symmetry and unitary, we introduce two consistency conditions -- on-shell gauge symmetry and strong massive-massless continuation -- in constructing amplitudes of massive gauge theory with…

High Energy Physics - Theory · Physics 2025-10-20 Junmou Chen

The spinor helicity formalism in four dimensions has become a very useful tool both for understanding the structure of amplitudes and also for practical numerical computation of amplitudes. Recently, there has been some discussion of an…

High Energy Physics - Theory · Physics 2011-08-09 Simon Caron-Huot , Donal O'Connell

We use the recently proposed generalised on-shell representation for scattering amplitudes and a consistency test to explore the space of tree-level consistent couplings in four-dimensional Minkowski spacetime. The extension of the…

High Energy Physics - Theory · Physics 2013-05-30 Paolo Benincasa , Eduardo Conde

The purely on-shell approach to effective field theories requires the construction of independent contact terms. Employing the little-group-covariant massive-spinor formalism, we present the first systematic derivation of independent…

High Energy Physics - Phenomenology · Physics 2022-10-21 Gauthier Durieux , Teppei Kitahara , Camila S. Machado , Yael Shadmi , Yaniv Weiss

Five-dimensional gauge and gravity theories are known to exhibit striking properties. D=5 is the lowest dimension where massive tensor states appear naturally, providing a testing ground for perturbative insights into six-dimensional tensor…

High Energy Physics - Theory · Physics 2023-02-22 Marco Chiodaroli , Murat Gunaydin , Henrik Johansson , Radu Roiban

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

This thesis describes some of the recent (and some less recent) developments in calculational techniques for scattering amplitudes in quantum field theory. The focus is on on-shell recursion relations in complex momenta and on the use of…

High Energy Physics - Theory · Physics 2008-04-22 Kasper Risager
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