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We study the two-body decay of mesons using the covariant helicity formalism. We find that to explain the ratio of partials wave amplitudes (PWAs) of the decay, the Lagrangian must include derivative interactions in addition to contact…

High Energy Physics - Phenomenology · Physics 2021-12-28 Vanamali Shastry

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

The helicity formalism applied to the radiative decay $\Lambda_b^0\to pK^-\gamma$ is presented for the first time in this paper. The aim is to provide the necessary formalism to be able to resolve the resonant $pK^-$ structures at the…

High Energy Physics - Phenomenology · Physics 2020-06-23 Johannes Albrecht , Yasmine Amhis , Anja Beck , Carla Marin Benito

We consider which is the maximum information measurable from the decay distributions of polarised baryon decays via amplitude analysis in the helicity formalism. We focus in particular on the analytical study of the $\Lambda^+_c \to…

High Energy Physics - Phenomenology · Physics 2020-09-21 Daniele Marangotto

We derive helicity amplitudes for the fully charmed tetraquark states decays into vector meson pair under two types of models, where the one is from quark model and the other one is from diquark model. The decay angular distributions have…

High Energy Physics - Phenomenology · Physics 2025-12-01 Kaiwen Chen , Feng-Xiao Liu , Qiang Zhao , Xian-Hui Zhong , Ruilin Zhu , Bing-Song Zou

We provide succinct covariant amplitude decompositions of 2-body weak hadronic decays, with which to compare data, including exclusive rates, helicity amplitudes and polarizations. For weak decays, the systematic dependence of these…

High Energy Physics - Phenomenology · Physics 2008-11-26 R Delbourgo , Dongsheng Liu

Antiproton proton annihilation reactions allow unique access to the moduli and phases of nucleon electromagnetic form factors in the time like region. We present the helicity amplitudes for the unequal mass single photon reaction $p…

High Energy Physics - Phenomenology · Physics 2008-11-26 N. H. Buttimore , E. Jennings

In an earlier paper we have proposed a novel method to compute the decay width for a general $1\to n$ cascade decay where the propagators are off-shell and may be of different spins. Here, we extend our algorithm to accommodate those decays…

High Energy Physics - Phenomenology · Physics 2017-03-22 Joydeep Chakrabortty , Anirban Kundu , Rinku Maji , Tripurari Srivastava

A method to efficiently compute, in a automatic way, helicity amplitudes for arbitrary scattering processes at leading order in the Standard Model is presented. The scattering amplitude is evaluated recursively through a set of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Costas G. Papadopoulos , Malgorzata Worek

We present results for the helicity amplitudes of the lowest-lying hyperon resonances Y*, computed within the framework of the Bonn constituent-quark model, which is based on the Bethe-Salpeter approach. The seven parameters entering the…

Nuclear Theory · Physics 2009-11-11 Tim Van Cauteren , Jan Ryckebusch , Bernard Metsch , Herbert-R. Petry

We develop an angular analysis based on the reconstruction of the helicity amplitudes from dedicated experimental data corresponding to the tripartite state composed by one qutrit and two qubits, which arises in the three-body decays of a…

High Energy Physics - Phenomenology · Physics 2024-10-29 Roberto A. Morales , Alejandro Szynkman

We present a construction of the reaction amplitude for the inclusive production of a resonance decaying to a pair of identical vector particles such as $J/\psi J/\psi$, $\rho\rho$, $\phi\phi$. The method provides the possibility of…

High Energy Physics - Phenomenology · Physics 2024-04-18 Liupan An , Ronan McNulty , Mikhail Mikhasenko

In this paper we depict the high order quantum coherence of a boson system by using the multi-particle wave amplitude, whose norm square is just the high order correlation function. This multi-time amplitude can be shown to be a…

Quantum Physics · Physics 2013-05-29 D. L. Zhou , P. Zhang , C. P. Sun

An introduction to spin techniques in particle physics is given. Among the topics covered are: helicity formalism and its applications to the decay and scattering of spin-1/2 and spin-1 particles, techniques for evaluating helicity…

High Energy Physics - Phenomenology · Physics 2009-09-25 Howard E. Haber

Bethe-Salpeter equation for the massive particles with spin 1 is considered. The scattering amplitude decomposition of the particles with spin 1 by relativistic tensors is derived. The transformation coefficients from helicity amplitudes to…

High Energy Physics - Theory · Physics 2015-06-26 A. Yu. Loginov , V. N. Stibunov

Helicity amplitudes are the fundamental ingredients of many QCD calculations for multi-leg processes. We describe how these can seamlessly be combined with resummation in Soft-Collinear Effective Theory (SCET), by constructing a helicity…

High Energy Physics - Phenomenology · Physics 2016-05-23 Ian Moult , Iain W. Stewart , Frank J. Tackmann , Wouter J. Waalewijn

Using the helicity method we derive complete formulas for the joint angular decay distributions occurring in semileptonic hyperon decays including lepton mass and polarization effects. Compared to the traditional covariant calculation the…

High Energy Physics - Phenomenology · Physics 2009-01-26 A. Kadeer , J. G. Körner , U. Moosbrugger

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

It is shown that the helicity amplitudes can be used to describe and analyze the properties of the electromagnetic field in classical and in quantum theory. On the one hand they embody the relativistic content of electromagnetic theory. On…

Optics · Physics 2019-08-06 Iwo Bialynicki-Birula

Results of the recently developed unitary isobar model (MAID) are presented for helicity amplitudes, spin asymmetries, structure functions and relevant sum rules for real and virtual photons in the resonance region. Our evaluation of the…

Nuclear Theory · Physics 2017-08-23 Lothar Tiator