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In gauge theories, contact terms play an important role in ensuring gauge invariance. In the spinor helicity formalism, the choice of a gauge-fixing condition manifests itself in the form of the choice of reference vector to write the…

High Energy Physics - Theory · Physics 2025-06-17 Aakash Kumar , Arnab Rudra , Rahul Shaw

We develop a theory of massive spinning particles interacting with background fields in four spacetime dimensions in which holomorphy and chirality play a central role. Applying a perturbation theory of symplectic forms to the massive…

High Energy Physics - Theory · Physics 2023-08-09 Joon-Hwi Kim , Sangmin Lee

The simplification and reorganization of complex expressions lies at the core of scientific progress, particularly in theoretical high-energy physics. This work explores the application of machine learning to a particular facet of this…

High Energy Physics - Theory · Physics 2025-02-05 Clifford Cheung , Aurélien Dersy , Matthew D. Schwartz

In {\em Phys.\ Lett.} {\bf B 660}, 583 (2008), it was proposed that the D-brane geometry could be produced by open string quantum effects. In an effort to verify the proposal, we consider scattering amplitudes involving {\em massive} open…

High Energy Physics - Theory · Physics 2011-08-02 I. Y. Park

We develop a formalism for describing the most general notion of tree-level scattering amplitudes in 4d conformal higher spin theory. As conformal higher spin fields obey higher-derivative equations of motion, there are many distinct…

High Energy Physics - Theory · Physics 2018-09-13 Tim Adamo , Simon Nakach , Arkady A. Tseytlin

We illustrate the use of new on-shell methods, 4-dimensional unitarity cuts combined with on-shell recursions relations, by computing the A_4^{(1)}(phi,1^-,2^-,3^+,4^+) amplitude in the large top mass limit where the Higgs boson couples to…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. D. Badger , E. W. N. Glover , Kasper Risager

We calculate one loop scattering amplitudes for arbitrary number of positive helicity on-shell gluons and one off-shell gluon treated within the quasi-multi Regge kinematics. The result is fully gauge invariant and possesses the correct…

High Energy Physics - Phenomenology · Physics 2021-03-05 Etienne Blanco , Andreas van Hameren , Piotr Kotko , Krzysztof Kutak

In this Letter we consider the problem of partial masslessness and unitarity in (A)dS using gauge invariant description of massive high spin particles. We show that for S = 2 and S = 3 cases such formalism allows one correctly reproduce all…

High Energy Physics - Theory · Physics 2007-05-23 Yu. M. Zinoviev

Precision calculations in hadronic processes at high energy colliders are crucial for improving the understanding of the standard phenomena as well as for the discovery of new physics. Spinor-helicity formalism serves as one of the most…

High Energy Physics - Phenomenology · Physics 2025-11-10 Vibhu Pandya , Radhika Vinze , Anuradha Misra

We extend the generalized D-dimensional unitarity method for numerical evaluation of one-loop amplitudes by incorporating massive particles. The issues related to extending the spinor algebra to higher dimensions, treatment of external…

High Energy Physics - Phenomenology · Physics 2010-04-21 R. K. Ellis , W. T. Giele , Z. Kunszt , K. Melnikov

We study the consistency conditions for interactions of massless fields of any spin in four-dimensional flat space using the light-cone approach. We show that they can be equivalently rewritten as the Ward identities for the off-shell…

High Energy Physics - Theory · Physics 2017-02-01 Dmitry Ponomarev

These notes are based on my lectures given at $\text{ST}^4$ 2025 held at IISER Bhopal. We study the application of spinor and twistor methods to three dimensional conformal field theories in these notes. They are divided into three parts…

High Energy Physics - Theory · Physics 2025-09-01 Dhruva K. S

Inspired by the flow description of su(N) colour calculations, we recently showed how to simplify the spinor-helicity formalism (at the algebra level two copies of complexified su(2)) by treating each Weyl spinor as part of a flow line with…

High Energy Physics - Phenomenology · Physics 2021-10-11 Joakim Alnefjord , Andrew Lifson , Christian Reuschle , Malin Sjodahl

In this paper, we give the general expressions for a special series of tree amplitudes of the Yang-Mills theory. This series of amplitudes have two adjacent massless spin-1 particles with extra-dimensional momenta and any number of positive…

High Energy Physics - Theory · Physics 2019-10-08 Yang An , Yi Li

We present a systematic technique for constructing Lorentz covariant orbital-spin ($LS$) bases for matrix elements of local operators and the associated form factors, thereby extending the traditional multipole expansion to a Lorentz…

High Energy Physics - Phenomenology · Physics 2026-05-06 Hong Huang , Tuo Tan , Yi-Ning Wang , Jiang-Hao Yu

We first propose a general method to construct the complete set of on-shell operator bases involving massive particles with any spins. To incorporate the non-abelian little groups of massive particles, the on-shell scattering amplitude…

High Energy Physics - Phenomenology · Physics 2024-06-07 Zi-Yu Dong , Teng Ma , Jing Shu

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 study contact four-point amplitudes in the spinor-helicity formalism in anti-de Sitter space. We find that these amplitudes can be brought to an especially simple form, which we call canonical. Next, we classify consistent contact…

High Energy Physics - Theory · Physics 2020-08-26 Balakrishnan Nagaraj , Dmitry Ponomarev

A contribution to the collection of reviews "Introduction to Higher Spin Theory" edited by S. Fredenhagen, this introductory article is a pedagogical account of higher-spin fields and their connections with String Theory. We start with the…

High Energy Physics - Theory · Physics 2016-04-19 Rakibur Rahman , Massimo Taronna

We use on-shell methods to calculate tree-level effective field theory (EFT) amplitudes, with no reference to the EFT operators. Lorentz symmetry, unitarity and Bose statistics determine the allowed kinematical structures. As a by-product,…

High Energy Physics - Phenomenology · Physics 2019-03-27 Yael Shadmi , Yaniv Weiss
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