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Lecture notes on Poincar\'e-invariant scattering amplitudes and tree-level recursion relations in spinor-helicity formalism. We illustrate the non-perturbative constraints imposed over on-shell amplitudes by the Lorentz Little Group, and…

High Energy Physics - Theory · Physics 2017-05-30 Andrea Marzolla

In the standard model with electroweak symmetry breaking through the Higgs mechanism, electroweak gauge-boson scattering amplitudes are large if the Higgs boson is heavy, and electroweak gauge interactions become strong. In theories with…

High Energy Physics - Phenomenology · Physics 2015-05-14 Saurabh D. Rindani

We study in a bottom-up approach the theoretically consistent description of additional resonances in the electroweak sector beyond the discovered Higgs boson as simplified models. We focus on scalar and tensor resonances. Our formalism is…

High Energy Physics - Phenomenology · Physics 2016-03-16 W. Kilian , T. Ohl , J. Reuter , M. Sekulla

We introduce a formalism for describing four-dimensional scattering amplitudes for particles of any mass and spin. This naturally extends the familiar spinor-helicity formalism for massless particles to one where these variables carry an…

High Energy Physics - Theory · Physics 2021-11-02 Nima Arkani-Hamed , Tzu-Chen Huang , Yu-tin Huang

The apparent finding of a 125-GeV light Higgs boson closes unitarity of the minimal Standard Model (SM), that is weakly interacting: this is an exceptional feature not generally true if new physics exists beyond the mass gap found at the…

High Energy Physics - Phenomenology · Physics 2015-04-17 Antonio Dobado , Rafael L. Delgado , Felipe J. Llanes-Estrada

A Higgsless electroweak theory may be populated by spin-1 resonances around E ~ 1TeV as a consequence of a new strong interacting sector, frequently proposed as a tool to smear the high-energy behaviour of scattering amplitudes, for…

High Energy Physics - Phenomenology · Physics 2015-06-05 Alberto Filipuzzi , Jorge Portoles , Pedro Ruiz-Femenia

On-shell helicity methods provide powerful tools for determining scattering amplitudes, which have a one-to-one correspondence with leading power helicity operators in the Soft-Collinear Effective Theory (SCET) away from singular regions of…

High Energy Physics - Phenomenology · Physics 2016-10-12 Daniel W. Kolodrubetz , Ian Moult , Iain W. Stewart

We give a general parameterization of the Lambda_b --> Lambda(1520) gamma decay amplitude, applicable to any strange isosinglet spin-3/2 baryon, and calculate the branching fraction and helicity amplitudes. Large-energy form factor…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Hiller , M. Knecht , F. Legger , T. Schietinger

We study the partial-wave expansion of residues of five-point tree-amplitude involving identical scalar particles in the external legs. We check the construction using massive spinor-helicity building blocks and by matching to the…

High Energy Physics - Theory · Physics 2026-01-22 Arnab Priya Saha , Aninda Sinha

We give the light-cone gauge calculation of the one-loop on-shell scattering amplitudes for gluon-gluon scattering which violate helicity conservation. We regulate infrared divergences by discretizing the p^+ integrations, omitting the…

High Energy Physics - Theory · Physics 2009-11-11 D. Chakrabarti , J. Qiu , C. B. Thorn

We extend the study of scattering amplitudes presented in ``The LHC String Hunter's Companion'' to the case of five-point processes that may reveal the signals of low mass strings at the LHC and are potentially useful for detailed…

High Energy Physics - Theory · Physics 2009-12-22 D. Lust , O. Schlotterer , S. Stieberger , T. R. Taylor

We present the first numerical results for the two-loop helicity amplitudes for the scattering of four partons and a W-boson in QCD. We use a finite field sampling method to reduce directly from Feynman diagrams to the coefficients of a set…

High Energy Physics - Phenomenology · Physics 2019-07-01 Heribertus Bayu Hartanto , Simon Badger , Christian Brønnum-Hansen , Tiziano Peraro

In the Catani-Ciafaloni-Hautmann high-energy factorization approach a cross section is expressed as a convolution of unintegrated gluon densities and a gauge-invariant hard process, in which two incoming gluons are off-shell with momenta…

High Energy Physics - Phenomenology · Physics 2013-09-23 Piotr Kotko

In this work, the massless-massive correspondence for the on-shell scattering amplitudes is constructed so the massive amplitudes could inherit advantageous techniques developed in the massless calculation. This correspondence is…

High Energy Physics - Phenomenology · Physics 2026-01-16 Yu-Han Ni , Chao Wu , Jiang-Hao Yu

Manifestly Lorentz covariant Feynman rules are given in terms of a "scalar" field for each helicity, dramatically simplifying the calculation of amplitudes with massless particles. The spinor helicity formalism is properly identified as a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gordon Chalmers , Warren Siegel

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

Weak vector boson scattering at high energies will be one of the key measurements in current and upcoming LHC runs. It is most sensitive to any new physics associated with electroweak symmetry breaking. However, a conventional EFT analysis…

High Energy Physics - Phenomenology · Physics 2016-10-14 Marco Sekulla , Wolfgang Kilian , Thorsten Ohl , Jürgen Reuter

Vector boson scattering is (together with the production of multiple electroweak gauge bosons) the key process in the current run 2 of LHC to probe the microscopic nature of electroweak symmetry breaking. Deviations from the Standard Model…

High Energy Physics - Phenomenology · Physics 2016-11-23 J. Reuter , W. Kilian , T. Ohl , M. Sekulla

We show how all non-MHV tree-level amplitudes in 0 =< N =< 4 gauge theories can be obtained directly from the known MHV amplitudes using the scalar graph approach of Cachazo, Svrcek and Witten. Generic amplitudes are given by sums of…

High Energy Physics - Theory · Physics 2009-11-10 George Georgiou , E. W. N. Glover , Valentin V. Khoze

We derive analytic expressions for high energy $2 \to 2$ off-shell scattering amplitudes of weak vector bosons. They are obtained from six fermion final states in processes of the type $e^+ e^- \to \bar\nu_e + (WW) + \nu_e \to \bar\nu_e +…

High Energy Physics - Phenomenology · Physics 2014-11-18 J. Bartels , F. Schwennsen