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I provide a basic introduction to modern helicity amplitude methods, including color organization, the spinor helicity formalism, and factorization properties. I also describe the BCFW (on-shell) recursion relation at tree level, and…

High Energy Physics - Phenomenology · Physics 2015-06-02 Lance J. Dixon

We present an open-source simulation framework for optically detected magnetic resonance, developed in Python. The framework allows users to construct, manipulate, and evolve multipartite quantum systems that consist of spins and electronic…

Quantum Physics · Physics 2025-01-13 Laura A. Völker , John M. Abendroth , Christian L. Degen , Konstantin Herb

We construct the holonomy-flux operator algebra in the recently developed spinor formulation of loop gravity. We show that, when restricting to SU(2)-gauge invariant operators, the familiar grasping and Wilson loop operators are written as…

General Relativity and Quantum Cosmology · Physics 2013-11-08 Etera R. Livine , Johannes Tambornino

Massive spinor-helicity variables in four dimensions are a useful tool for studying amplitudes between higher-spin fields and gravitons. Among them a special, simple set of amplitudes reproduces the linearized stress-energy tensor of a Kerr…

High Energy Physics - Theory · Physics 2026-05-29 Lucile Cangemi , Iustin Surubaru

The novel massive spinor-helicity formalism of Arkani-Hamed, Huang and Huang provides an elegant way to calculate scattering amplitudes in quantum chromodynamics for arbitrary quark spin projections. In this note we compute two families of…

High Energy Physics - Phenomenology · Physics 2018-12-18 Alexander Ochirov

In a few recent papers we introduced the chirality-flow formalism, which was shown to make calculations of tree-level Feynman diagrams simple and transparent. Chirality flow, which is based on the spinor-helicity formalism, allows to often…

High Energy Physics - Phenomenology · Physics 2023-03-06 Andrew Lifson , Simon Plätzer , Malin Sjodahl

The concept of phase space amplitudes for systems with continuous degrees of freedom is generalized to finite-dimensional spin systems. Complex amplitudes are obtained on both a sphere and a finite lattice, in each case enabling a more…

Quantum Physics · Physics 2015-05-20 P Watson , A J Bracken

We present $\texttt{NPointFunctions}$, a package to incorporate desired amplitudes and observables for an arbitrary BSM model in $\texttt{FlexibleSUSY}$. The package relies on the $\texttt{SARAH}$-generated output used with…

High Energy Physics - Phenomenology · Physics 2022-06-03 Uladzimir Khasianevich , Wojciech Kotlarski , Dominik Stöckinger

We present a generalized QCD factorization scheme for the high energy inclusive polarized process, (A, S_A) + (B, S_B) -> C + X, including all intrinsic partonic motions. This introduces many non-trivial azimuthal phases and several new…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. Anselmino , M. Boglione , U. D'Alesio , E. Leader , S. Melis , F. Murgia

In this letter we suggest a natural spinor-helicity formalism for massless fields in AdS${}_4$. It is based on the standard realization of the AdS${}_4$ isometry algebra $so(3,2)$ in terms of differential operators acting on…

High Energy Physics - Theory · Physics 2019-03-27 Balakrishnan Nagaraj , Dmitry Ponomarev

Processes involving electroweak vector bosons in association with jets are crucial for precision studies of the Standard Model at the Large Hadron Collider. Accurate predictions for the process $pp\rightarrow V(\rightarrow\bar\ell\ell)jj$…

High Energy Physics - Phenomenology · Physics 2024-09-25 Giuseppe De Laurentis

We present definitions and formulas that may be useful for a consistent computation of helicity amplitudes for the process gamma* N -> N* in theoretical approaches. Of particular importance is the correct determination of the common sign of…

Nuclear Theory · Physics 2008-10-08 I. G. Aznauryan , V. D. Burkert , T. -S. H. Lee

The article presents and documents the Mathematica package SymBuild. This package implements the computation and manipulation of integrable symbols appearing in various calculations in high-energy scattering amplitudes. By using Gr\"obner…

High Energy Physics - Theory · Physics 2018-11-01 Vladimir Mitev , Yang Zhang

Parametrization of cascading hadronic reactions is a central tool in hadron spectroscopy for modeling matrix elements and extracting parameters of hadronic states. Implementing the helicity formalism consistently presents challenges,…

High Energy Physics - Phenomenology · Physics 2025-06-12 Kai Habermann , Mikhail Mikhasenko

The present paper is the first of a series of papers reporting on the parallelization of the symbolic manipulation program FORM on different parallel architectures. Part I deals with workstation clusters using dedicated network hardware and…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Fliegner , A. Retey , J. A. M. Vermaseren

We present a program for the numerical evaluation of scalar integrals and tensor form factors entering the calculation of one-loop amplitudes which supports the use of complex masses in the loop integrals. The program is built on an earlier…

High Energy Physics - Phenomenology · Physics 2015-05-27 G. Cullen , J. -Ph. Guillet , G. Heinrich , T. Kleinschmidt , E. Pilon , T. Reiter , M. Rodgers

We develop a frame and dyad gauge-independent formalism for the calculus of variations of functionals involving spinorial objects. As part of this formalism we define a modified variation operator which absorbs frame and spin dyad gauge…

General Relativity and Quantum Cosmology · Physics 2016-01-14 Thomas Bäckdahl , Juan A. Valiente Kroon

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 present version 4.0 of the symbolic manipulation system FORM. The most important new features are manipulation of rational polynomials and the factorization of expressions. Many other new functions and commands are also added; some of…

Symbolic Computation · Computer Science 2015-06-04 J. Kuipers , T. Ueda , J. A. M. Vermaseren , J. Vollinga

We present an extension of the program golem95C for the numerical evaluation of scalar integrals and tensor form factors entering the calculation of one-loop amplitudes, which supports tensor ranks exceeding the number of propagators. This…

High Energy Physics - Phenomenology · Physics 2015-06-18 J. Ph. Guillet , G. Heinrich , J. F. von Soden-Fraunhofen