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An helicity formalism for perturbative calculations is presented. It is based on the formal insertion in spinor lines of a complete set of states built up with unphysical spinors. It is particularly convenient when massive spinors are…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Ballestrero , E. Maina

We consider scattering processes involving massless fermions and 't Hooft-Polyakov magnetic monopoles in a minimal SU(2) model and in the Grand Unified SU(5) theory. We construct expressions for on-shell amplitudes for these processes in…

High Energy Physics - Theory · Physics 2024-12-10 Valentin V. Khoze

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

We explore the on-shell recursion for tree-level scattering amplitudes with massive spinning particles. Based on the factorization structure encoded in the same way by two different recursion relations, we conjecture an all-multiplicity…

High Energy Physics - Theory · Physics 2022-03-03 Achilleas Lazopoulos , Alexander Ochirov , Canxin Shi

We present a systematic procedure for determining the Hilbert series that counts the number of independent operators in the Higgs effective field theory. After removing the redundancies from equation-of-motion and integration-by-part, we…

High Energy Physics - Phenomenology · Physics 2022-11-22 Hao Sun , Yi-Ning Wang , Jiang-Hao Yu

Relativistic quantum systems that admit scattering experiments are quantitatively described by effective field theories, where $S$-matrix kinematics and symmetry considerations are encoded in the operator spectrum of the EFT. In this paper…

High Energy Physics - Theory · Physics 2017-11-22 Brian Henning , Xiaochuan Lu , Tom Melia , Hitoshi Murayama

We perform a comprehensive study of on-shell recursion relations for Born amplitudes in spontaneously broken gauge theories and identify the minimal shifts required to construct amplitudes with a given particle content and spin quantum…

High Energy Physics - Theory · Physics 2020-02-19 Robert Franken , Christian Schwinn

This thesis discusses how the pure spinor formalism can be used to efficiently compute superstring scattering amplitudes. We emphasize the pure spinor superspace form of the kinematic factors, where the simplifying features of this language…

High Energy Physics - Theory · Physics 2009-03-26 Carlos R. Mafra

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

We enumerate the complete and independent sets of operators at the next-to-leading order (NLO) in the Higgs effective field theory (HEFT), based on the Young tensor technique on the Lorentz, gauge and flavor structures. The…

High Energy Physics - Phenomenology · Physics 2023-05-24 Hao Sun , Ming-Lei Xiao , Jiang-Hao Yu

We consider two-loop renormalization of high-dimensional Lorentz scalar operators in the gluonic sector of QCD. These operators appear also in the Higgs effective theory obtained by integrating out the top quark loop in the gluon fusion…

High Energy Physics - Phenomenology · Physics 2021-05-05 Qingjun Jin , Ke Ren , Gang Yang

Spin 1 particle is investigated in 3-dimensional curved space of constant positive curvature. An extended helicity operator is defined and the variables are separated in a tetrad-based 10-dimensional Duffin-Kemmer equation in quasi…

Mathematical Physics · Physics 2012-03-23 V. M. Red'kov , E. M. Ovsiyuk , V. V. Kisel

A general method is described for finding algebraic expressions for matrix elements of any one- and two-particle operator for an arbitrary number of subshells in an atomic configuration, requiring neither coefficients of fractional…

Atomic Physics · Physics 2009-11-10 G. Gaigalas , Z. Rudzikas , C. Froese Fischer

We show that 10D spinor helicity formalism can be understood as spinor moving frame approach to supersymmetric particles extended to the description of amplitudes. This allows us to develop the spinor helicity formalism for 11D supergravity…

High Energy Physics - Theory · Physics 2018-12-05 Igor Bandos

We present an alternative approach for calculating helicity amplitudes for processes involving both massless and massive fermions. With this method one can easily obtain covariant expressions for the helicity amplitudes. The final…

High Energy Physics - Phenomenology · Physics 2014-11-17 R. Vega , J. Wudka

We investigate the structure of the one-body Reduced Density Matrix (1RDM) of three electron systems, i.e. doublet and quadruplet spin configurations, corresponding to the smallest interacting system with an open-shell ground state. To this…

Chemical Physics · Physics 2018-03-22 Iris Theophilou , Nektarios Lathiotakis , Nicole Helbig

We calculate the genus-one three- and four-point amplitudes in the 2+2 dimensional closed N=(2,2) worldsheet supersymmetric string within the RNS formulation. Vertex operators are redefined with the incorporation of spinor helicity…

High Energy Physics - Theory · Physics 2009-10-31 Gordon Chalmers , Olaf Lechtenfeld , Bernd Niemeyer

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 present the one-loop helicity amplitudes with five external gluons. The computation employs string-based methods, new techniques for performing tensor integrals, and improvements in the spinor helicity method.

High Energy Physics - Phenomenology · Physics 2010-11-15 Z. Bern , L. Dixon , D. A. Kosower

Factorization is possible due to the universal behavior of Yang-Mills theories in soft and collinear limits. Here, we take a small step towards a more transparent understanding of these limits by proving a form of perturbative factorization…

High Energy Physics - Theory · Physics 2013-09-25 Ilya Feige , Matthew D. Schwartz