English
Related papers

Related papers: Massive Helicity-Chirality Spinor Formalism from M…

200 papers

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

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

We establish a simple formula for the minimal dimension of operators leading to any helicity amplitude. It eases the systematic enumeration of independent operators from the construction of massless non-factorizable on-shell amplitudes.…

High Energy Physics - Phenomenology · Physics 2020-05-29 Gauthier Durieux , Camila S. Machado

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 propose a new helicity formalism based on the formal insertion in spinor lines of a complete set of states build up with unphysical spinors. The method is developed both for massless and massive fermions for which it turns out to be…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Ballestrero , E. Maina

Quantum scattering amplitudes for massive matter have received new attention in connection to classical calculations relevant to gravitational-wave physics. Amplitude methods and insights are now employed for precision computations of…

High Energy Physics - Theory · Physics 2022-03-09 Marco Chiodaroli , Henrik Johansson , Paolo Pichini

The purpose of this review is to bridge the gap between a standard course in quantum field theory and recent fascinating developments in the studies of on-shell scattering amplitudes. We build up the subject from basic quantum field theory,…

High Energy Physics - Theory · Physics 2014-04-14 Henriette Elvang , Yu-tin Huang

The consequences of on-shell supersymmetry are studied for scattering amplitudes with massive particles in four dimensions. Using the massive version of the spinor helicity formalism the supersymmetry transformations relating products of…

High Energy Physics - Theory · Physics 2011-09-22 Rutger H. Boels , Christian Schwinn

The spinor helicity formalism (SHF) has been efficiently applied to compute perturbative amplitudes in plenty of processes and reactions in gauge theories (including gravity), mostly in the massless case. Some work has been done in order to…

High Energy Physics - Phenomenology · Physics 2017-11-22 Bryan O. Larios

The existence of interacting higher-spin theories is tightly constrained by many no-go theorems. In this paper, we construct a chiral, higher-spin generalization of Yang-Mills theory in flat space which avoids these no-go theorems and has…

High Energy Physics - Theory · Physics 2023-05-11 Tim Adamo , Tung Tran

These lectures are a brief introduction to scattering amplitudes. We begin with a review of basic kinematical concepts like the spinor helicity formalism, followed by a tutorial on bootstrapping tree-level scattering amplitudes. Afterwards,…

High Energy Physics - Phenomenology · Physics 2017-08-15 Clifford Cheung

On-shell methods are particularly suited for exploring the scattering of electrically and magnetically charged objects, for which there is no local and Lorentz invariant Lagrangian description. In this paper we show how to construct a…

High Energy Physics - Theory · Physics 2021-09-01 Csaba Csaki , Sungwoo Hong , Yuri Shirman , Ofri Telem , John Terning , Michael Waterbury

Using the recently introduced recursion relations with covariant massive-massless shift, we study tree-level scattering amplitudes involving a pair of massive vector bosons and an arbitrary number of gluons in the massive spinor-helicity…

High Energy Physics - Theory · Physics 2022-08-24 Sourav Ballav , Arkajyoti Manna

Recently, the spinor helicity formalism and on-shell superspace were developed for six-dimensional gauge theories with (1,1) supersymmetry. We combine these two techniques with (generalised) unitarity, which is a powerful technique to…

High Energy Physics - Theory · Physics 2011-03-02 Andreas Brandhuber , Dimitrios Korres , Daniel Koschade , Gabriele Travaglini

We develop a formalism, based on spinor-helicity techniques, to generalize the formulation of partial wave unitarity bounds. We discuss unitarity bounds for $N \to M$ (with $N,M \geq 2$) scattering processes -- relevant for high-energy…

High Energy Physics - Phenomenology · Physics 2026-05-26 Luigi C. Bresciani , Gabriele Levati , Paride Paradisi

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

In a recent letter we suggested a natural generalization of the flat-space spinor-helicity formalism in four dimensions to anti-de Sitter space. In the present paper we give some technical details that were left implicit previously. For…

High Energy Physics - Theory · Physics 2020-07-15 Balakrishnan Nagaraj , Dmitry Ponomarev

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

Scattering amplitudes of gluons coupled with a pair of massive scalars, so-called massive scalar amplitudes, provide the simplest yet physically useful examples of massive amplitudes. In this paper we construct an S-matrix functional for…

High Energy Physics - Theory · Physics 2015-06-05 Yasuhiro Abe