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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

Spinor structure and internal symmetries are considered within one theoretical framework based on the generalized spin and abstract Hilbert space. Complex momentum is understood as a generating kernel of the underlying spinor structure. It…

Mathematical Physics · Physics 2015-12-07 V. V. Varlamov

A theoretical formalism leading to elegant derivation of formulae for all spin observables is outlined for photo production of mesons with arbitrary spin parity $s^{\pi}$. The salient features of this formalism based on irreducible tensor…

Nuclear Theory · Physics 2008-11-26 G. Ramachandran , M. S. Vidya , J. Balasubramanyam

In this paper, we propose a method to construct the decay amplitudes in the orbital ($L$) and spin ($S$) coupling scheme for particles with arbitrary spins. For the $1\to 2$ decay with only massive particles involved, the angular dependence…

High Energy Physics - Phenomenology · Physics 2023-09-14 Xiao-yu Li , Xiang-Kun Dong , Hao-Jie Jing

On-shell, analytic S-matrix elements in massless theories are constructed from a finite set of primitive three-point amplitudes, which are fixed by Poincare invariance up to an overall numerical constant. We classify \emph{all} such…

High Energy Physics - Theory · Physics 2014-11-05 David A. McGady , Laurentiu Rodina

In this note, we derive for the first time a set of non-perturbative constraints for soft operators that preserve the helicities of scattering amplitudes in a soft limit. We also show that the resolution of such constraints generates a…

High Energy Physics - Theory · Physics 2026-02-24 Andriniaina Narindra Rasoanaivo

We analyze the properties of the non-minimal pure spinor formalism. We show that Siegel gauge on massless vertex operators implies the primary field constraint and the level-matching condition in closed string theory by reconstructing the…

High Energy Physics - Theory · Physics 2009-05-29 Pietro Antonio Grassi , Pierre Vanhove

Spinor description for the curvatures of $D=5$ Yang-Mills, Rarita-Schwinger and gravitational fields is elaborated. Restrictions imposed on the curvature spinors by the dynamical equations and Bianchi identities are analyzed. In the absence…

High Energy Physics - Theory · Physics 2016-07-19 D. V. Uvarov

The spinor-helicity representations of massive and (partially-)massless particles in four dimensional (Anti-) de Sitter spacetime are studied within the framework of the dual pair correspondence. We show that the dual groups (aka "little…

High Energy Physics - Theory · Physics 2024-01-05 Thomas Basile , Euihun Joung , Karapet Mkrtchyan , Matin Mojaza

In conformal field theory, momentum eigenstates can be parameterized by a pair of real spinors, in terms of which special conformal transformations take a simpler form. This well-known fact allows to express 2-point functions of primary…

High Energy Physics - Theory · Physics 2022-03-30 Marc Gillioz

We develop the helicity formalism for spin-2 particles and apply it to the case of gravity in flat extra dimensions. We then implement the large extra dimensions scenario of Arkani-Hamed, Dimopoulos and Dvali in the program AMEGIC++,…

High Energy Physics - Phenomenology · Physics 2009-11-10 T. Gleisberg , F. Krauss , K. Matchev , A. Schalicke , S. Schumann , G. Soff

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

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

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

In this letter we discuss a regularization scheme for the integration of generic on-shell forms. The basic idea is to extend the three-particle amplitudes to the space of unphysical helicities keeping the dimension of the related coupling…

High Energy Physics - Theory · Physics 2014-12-01 Paolo Benincasa , Eduardo Conde , David Gordo

Operators for simulating the scattering of two particles with spin are constructed. Three methods are shown to give the consistent lattice operators for PN, PV, VN and NN scattering, where P, V and N denote pseudoscalar meson, vector meson…

High Energy Physics - Lattice · Physics 2016-10-05 S. Prelovsek , U. Skerbis , C. B. Lang

We propose and develop a new method to classify orbits of the spin group ${\rm Spin}(2d)$ in the space of its semi-spinors. The idea is to consider spinors as being built as a linear combination of their pure constituents, imposing the…

Combinatorics · Mathematics 2025-08-29 Niren Bhoja , Kirill Krasnov

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

The helicity flux operator is a fascinating quantity that characterizes the angular distribution of the helicity of radiative photons or gravitons and it has many interesting physical consequences. In this paper, we construct the…

High Energy Physics - Theory · Physics 2025-04-04 Wen-Bin Liu , Jiang Long , Xin-Hao Zhou

We present a complete list of the dimension 8 operator basis in the standard model effective field theory using group theoretic techniques in a systematic and automated way. We adopt a new form of operators in terms of the irreducible…

High Energy Physics - Phenomenology · Physics 2021-07-28 Hao-Lin Li , Zhe Ren , Jing Shu , Ming-Lei Xiao , Jiang-Hao Yu , Yu-Hui Zheng