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We develop a method to calculate helicity amplitudes of an arbitrary tree-level process in Feynman-Diagram (FD) gauge for an arbitrary gauge model with MadGraph5_aMC@NLO. We start from the 't Hooft-Feynman gauge Lagrangian in FeynRules and…

High Energy Physics - Phenomenology · Physics 2024-05-06 Kaoru Hagiwara , Junichi Kanzaki , Olivier Mattelaer , Kentarou Mawatari , Ya-Juan Zheng

Recently proposed Feynman-diagram (FD) gauge propagator for massless and massive gauge bosons is obtained from a light-cone (LC) gauge propagator, by choosing the gauge vector along the opposite direction of the gauge boson three-momentum.…

High Energy Physics - Phenomenology · Physics 2023-11-21 Junmou Chen , Kaoru Hagiwara , Junichi Kanzaki , Kentarou Mawatari , Ya-Juan Zheng

We introduce photon and gluon propagators in which the scalar polarization component is subtracted systematically by making use of the BRST invariance of the off-shell vector boson created from physical on-shell states. The propagator has…

High Energy Physics - Phenomenology · Physics 2020-07-15 Kaoru Hagiwara , Junichi Kanzaki , Kentarou Mawatari

Weak vector-boson W,Z scattering at high energy probes the Higgs sector and is most sensitive to any new physics associated with electroweak symmetry breaking. We show that in the presence of the 125 GeV Higgs boson, a conventional…

High Energy Physics - Phenomenology · Physics 2016-03-15 W. Kilian , T. Ohl , J. Reuter , M. Sekulla

Nearly thirty years ago, Bern, Dixon and Kosower computed all helicity amplitudes for the annihilation of an electron-positron pair into four QCD partons through an electroweak vector boson. More recently, the leading-color two-loop…

High Energy Physics - Phenomenology · Physics 2026-03-12 Giuseppe De Laurentis , Kirill Melnikov , Matteo Tresoldi

For a massive gauge theory with Higgs mechanism in a physical gauge, the longitudinal polarization of gauge bosons can be naturally identified as mixture of the goldstone component and a remnant gauge component that vanishes at the limit of…

High Energy Physics - Phenomenology · Physics 2019-03-28 Junmou Chen

One of the methods to calculate tree-level multi-gluon scattering amplitudes is to use the Berends-Giele recursion relation involving off-shell currents or off-shell amplitudes, if working in the light cone gauge. As shown in recent works…

High Energy Physics - Phenomenology · Physics 2016-08-24 Piotr Kotko , Mirko Serino , Anna M. Stasto

I discuss how to obtain angular decay distributions for sequential cascade decays using helicity methods. The angular decay distributions follow from a reasonably simple master formula involving bilinear forms of helicity amplitudes and…

High Energy Physics - Phenomenology · Physics 2014-02-13 J. G. Körner

A way to efficiently compute helicity amplitudes for arbitrary tree-level scattering processes in QCD is presented. The scattering amplitude is evaluated recursively through a set of Dyson-Schwinger equations. The computational cost of this…

High Energy Physics - Phenomenology · Physics 2009-11-11 Costas G. Papadopoulos , Malgorzata Worek

We investigate polarization-induced interference and off-shell effects in predictions for high-energy, multi-leg processes with intermediate weak bosons carrying fixed helicities. Building on the ``truncated propagator'' paradigm, we carry…

High Energy Physics - Phenomenology · Physics 2025-12-12 Trina Basu , Richard Ruiz

We use tree-level perturbation theory to show how non-supersymmetric one-loop scattering amplitudes for a Higgs boson plus an arbitrary number of partons can be constructed, in the limit of a heavy top quark, from a generalization of the…

High Energy Physics - Theory · Physics 2010-04-06 Lance J. Dixon , E. W. N. Glover , Valentin V. Khoze

We study scattering of the electroweak gauge bosons in 5D warped models. Within two different models we determine the precise manner in which the Higgs boson and the vector resonances ensure the unitarity of longitudinal vector boson…

High Energy Physics - Phenomenology · Physics 2009-04-21 Adam Falkowski , Stefan Pokorski , J. P. Roberts

Tree and loop level scattering amplitudes which involve physical massless bosons are derived directly from physical constraints such as locality, symmetry and unitarity, bypassing path integral constructions. Amplitudes can be projected…

High Energy Physics - Theory · Physics 2018-06-13 Rutger H. Boels , Hui Luo

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 propose a novel $R_\xi$ gauge in the five-vector (5V) framework within the Abelian Higgs model. In the Cartesian basis of the complex Higgs field, the 5V $R_\xi$ gauge ensures non-divergent tree-level amplitudes for each Feynman diagram…

High Energy Physics - Phenomenology · Physics 2025-06-25 Jaehoon Jeong

We compute all helicity amplitudes for the scattering of five partons in two-loop QCD in all the relevant flavor configurations, retaining all contributing color structures. We employ tensor projection to obtain helicity amplitudes in the…

High Energy Physics - Phenomenology · Physics 2023-12-01 Bakul Agarwal , Federico Buccioni , Federica Devoto , Giulio Gambuti , Andreas von Manteuffel , Lorenzo Tancredi

We present the two-loop helicity amplitudes for the scattering of massless quarks and massless gauge bosons in QCD. We use projector techniques to compute the coefficients of the general tensor describing the two-quark two-boson amplitude…

High Energy Physics - Phenomenology · Physics 2010-02-03 E. W. N. Glover , M. E. Tejeda-Yeomans

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 take the first steps towards an entirely on-shell description of the bosonic electroweak sector of the Standard Model. We write down on-shell three particle amplitudes consistent with Poincare' invariance and little group covariance.…

High Energy Physics - Theory · Physics 2020-08-26 Brad Bachu , Akshay Yelleshpur

We present a prescription to calculate manifestly gauge invariant tree-level helicity amplitudes for arbitrary scattering processes with off-shell initial-state gluons within the kinematics of high-energy scattering. We show that it is…

High Energy Physics - Phenomenology · Physics 2013-09-24 A. van Hameren , P. Kotko , K. Kutak
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