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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

Recently, ``Higgsless'' models of electroweak symmetry breaking have been proposed. Based on compactified five-dimensional gauge theories, these models achieve unitarity of electroweak boson self-interactions through the exchange of a tower…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. Sekhar Chivukula , Hong-Jian He , Masafumi Kurachi , Elizabeth H. Simmons , Masaharu Tanabashi

Motivated by AdS/CFT, we address the following outstanding question in large $N$ conformal field theory: given the appearance of a single-trace operator in the ${\cal O}\times{\cal O}$ OPE of a scalar primary ${\cal O}$, what is its total…

High Energy Physics - Theory · Physics 2018-08-09 Luis F. Alday , Agnese Bissi , Eric Perlmutter

We establish a set of new on-shell recursion relations for amplitudes satisfying soft theorems. The recursion relations can apply to those amplitudes whose additional physical inputs from soft theorems are enough to overcome the bad large-z…

High Energy Physics - Theory · Physics 2016-04-20 Hui Luo , Congkao Wen

Recently Barbieri, et al. have introduced a formalism to express the deviations of electroweak interactions from their standard model forms in "universal" theories, i.e. theories in which the corrections due to new physics can be expressed…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. Sekhar Chivukula , Hong-Jian He , Masafumi Kurachi , Elizabeth H. Simmons , Masaharu Tanabashi

Previous work on electroweak radiative corrections to high energy scattering using soft-collinear effective theory (SCET) has been extended to include external transverse and longitudinal gauge bosons and Higgs bosons. This allows one to…

High Energy Physics - Phenomenology · Physics 2014-11-20 Jui-yu Chiu , Andreas Fuhrer , Randall Kelley , Aneesh V. Manohar

In this talk, using deconstruction, we analyze the form of the corrections to the electroweak interactions in a large class of ``Higgsless'' models of electroweak symmetry breaking, allowing for arbitrary 5-D geometry, position-dependent…

High Energy Physics - Phenomenology · Physics 2007-05-23 Masafumi Kurachi , R. Sekhar Chivukula , Elizabeth H. Simmons , Hong-Jian He , Masaharu Tanabashi

An electroweak (EW) model has been investigated (Moffat) in which the energy $E < \mu=\sqrt{\lambda}M_W$, where $\lambda$ is a gauge parameter and $M_W$ is the $W$ boson mass. For large enough $\lambda$ the scalar boson mass…

High Energy Physics - Phenomenology · Physics 2012-01-04 J. W. Moffat

We discuss the complete virtual and soft-photonic O(alpha) corrections to AA -> W+W- within the electroweak Standard Model for arbitrary polarized photons. In the on-shell renormalization scheme for fixed M_W no leading corrections…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Denner , S. Dittmaier , R. Schuster

Based on the Ginsparg-Wilson relation, a gauge invariant formulation of electroweak SU(2)xU(1) gauge theory on the lattice is considered. If the hypercharge gauge coupling is turned off in the vacuum sector of the U(1) gauge fields, the…

High Energy Physics - Lattice · Physics 2007-05-23 Yoshio Kikukawa , Yoichi Nakayama , Hiroshi Suzuki

Modified interactions in the electroweak sector may lead to scattering amplitudes that grow with energy compared to their Standard Model (SM) counterparts. We present a detailed study of all $2\to2$ scattering amplitudes involving at least…

High Energy Physics - Phenomenology · Physics 2020-06-18 Fabio Maltoni , Luca Mantani , Ken Mimasu

Matrix elements of Wilson-line dressed operators play a central role in the factorization of soft and collinear modes in gauge theories. When expressed using spinor helicity variables, these so-called form factors admit a classification…

High Energy Physics - Phenomenology · Physics 2024-06-07 Timothy Cohen , Marc Riembau

Modern on-shell S-matrix methods may dramatically improve our understanding of perturbative quantum gravity, but current foundations of on-shell techniques for General Relativity still rely on off-shell Feynman diagram analysis. Here, we…

High Energy Physics - Theory · Physics 2015-05-20 David A. McGady , Laurentiu Rodina

The conditions obtained by Salam for a general gauge theory to be renormalizable are derived. They require that in a gauge invariant formalism the bare boson mass associated with the massive non-Abelian vector field is zero. A solution to…

High Energy Physics - Phenomenology · Physics 2012-03-20 J. W. Moffat

The consequences of on-shell supersymmetry are studied for scattering amplitudes with massive particles in four dimensions. Using the massive version of the spinor helicity formalism the supersymmetry transformations relating products of…

High Energy Physics - Theory · Physics 2011-09-22 Rutger H. Boels , Christian Schwinn

Whether there exists a massive electroweak (EW) theory, without a Higgs spontaneous symmetry breaking mechanism, that is gauge invariant and renormalizable is investigated. A Stueckelberg formalism for massive $W$ and $Z$ bosons is used to…

High Energy Physics - Phenomenology · Physics 2011-10-19 J. W. Moffat

We derive a general expression for on-shell recursion relations of closed string tree-level amplitudes. Starting with the string amplitudes written in the form of the Koba-Nielsen integral, we apply the BCFW shift to deform them. In…

High Energy Physics - Theory · Physics 2025-03-11 Pongwit Srisangyingcharoen , Aphiwat Yuenyong

We study the three-particle and four-particle scattering amplitudes for an arbitrary, finite number of massive scalars, spinors and vectors by employing the on-shell massive spinor formalism. We consider the most general three-particle…

High Energy Physics - Theory · Physics 2022-12-02 Da Liu , Zhewei Yin

Maximally supersymmetric field theories in various dimensions are believed to possess special properties due to extended supersymmetry. In four dimensions they are free from UV divergences but are IR divergent on shell, in higher…

High Energy Physics - Theory · Physics 2019-01-25 D. I. Kazakov , L. V. Bork , A. T. Borlakov , D. M. Tolkachev , D. E. Vlasenko

We present a complete set of 4-point amplitudes in the constructive Standard Model at tree level. Any 4-point amplitude can be obtained from the results presented here by a suitable choice of masses, a permutation of the particles (by…

High Energy Physics - Phenomenology · Physics 2024-06-18 Neil Christensen