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These notes form part of a lecture course on gauge theory. The material covered is standard in the physics literature, but perhaps less well-known to mathematicians. The purpose of these notes is to make spontaneous symmetry breaking and…

Differential Geometry · Mathematics 2020-07-27 M. J. D. Hamilton

We study the polarization of positively charged $W$'s in the scattering of massive electroweak bosons at hadron colliders. We rely on the separation of weak boson polarizations in the gauge-invariant, doubly-resonant part of the amplitude…

High Energy Physics - Phenomenology · Physics 2020-12-02 Alessandro Ballestrero , Ezio Maina , Giovanni Pelliccioli

A consistent factorization theorem is presented in the framework of effective field theories. Conventional factorization suffers from infrared divergences in the soft and collinear parts. We present a factorization theorem in which the…

High Energy Physics - Phenomenology · Physics 2013-03-27 Junegone Chay , Chul Kim

Longitudinal weak gauge boson scattering has been well known as a powerful method to probe the underlying mechanism of the electroweak symmetry breaking sector of the Standard Model. We point out that longitudinal weak gauge boson…

High Energy Physics - Phenomenology · Physics 2010-04-06 Kingman Cheung , Cheng-Wei Chiang , Yu-Kuo Hsiao , Tzu-Chiang Yuan

If studies of electroweak gauge boson final states at the Large Hadron Collider, for Standard Model physics and beyond, are sensitive to effects of the initial state's transverse momentum distribution, appropriate generalizations of QCD…

High Energy Physics - Phenomenology · Physics 2015-06-19 S. Dooling , F. Hautmann , H. Jung

This talk is a digest of Ref.[1](E.Gotsman,E. Levin and U. Maor: TAUP 2416/97, hep-ph/9705205,Phys. Lett. (in press)) where a new mechanism for hard inclusive production, which leads to a violation of the factorization theorem (FT), is…

High Energy Physics - Phenomenology · Physics 2009-10-30 Eugene Levin

In this paper, we consider the inverse scattering problem to reconstruct the defect in an open periodic waveguide from near field data. Our first aim is to mention that there is a mistake in the factorization method of Lechleiter 2008. By…

Analysis of PDEs · Mathematics 2021-06-16 Takashi Furuya

This paper explores the argument structure of the concept of spontaneous symmetry breaking in the electroweak gauge theory of the Standard Model: the so-called Higgs mechanism. As commonly understood, the Higgs argument is designed to…

General Physics · Physics 2008-08-15 Holger Lyre

A spontaneously broken SU(2) theory is the simplest generalization of the Abelian Higgs model, containing three equally massive vector bosons and a single Higgs scalar. A strictly diagrammatic proof is presented of the tree-level unitarity…

High Energy Physics - Phenomenology · Physics 2020-10-29 Jochem Kip , Ronald Kleiss

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 study the factorization and monotonicity method for inverse acoustic scattering problems. Firstly, we give a new general functional analysis theorem for the monotonicity method. Comparing with the factorization method, the general…

Analysis of PDEs · Mathematics 2021-06-16 Takashi Furuya

The precise renormalizable interactions in the bosonic sector of electroweak theory are intrinsically determined in the autonomous approach to perturbation theory. This proceeds directly on the Hilbert-Fock space built on the Wigner…

High Energy Physics - Theory · Physics 2026-05-07 José M. Gracia-Bondía , Karl-Henning Rehren , Joseph C. Várilly

It is by now well known that, at subleading power in scale ratios, factorization theorems for high-energy cross sections and decay amplitudes contain endpoint-divergent convolution integrals. The presence of these divergences hints at a…

High Energy Physics - Phenomenology · Physics 2020-04-06 Ze Long Liu , Matthias Neubert

Factorization, in the sense defined for inclusive hard scattering, is discussed for diffractive hard scattering. A factorization theorem similar to its inclusive counterpart is presented for diffractive DIS. For hadron-hadron diffractive…

High Energy Physics - Phenomenology · Physics 2009-10-30 Arjun Berera

In this paper we present the Weiberg-Salam-Glashow model of the electroweak interactions. With a specific choice of parameters can be obtained massive Z and W$^{\pm}$ bosons , while keeping the photon massless. These results are obtained by…

General Physics · Physics 2017-06-01 Voicu Dolocan

Experimental aeroacoustics is concerned with the estimation of acoustic source power distributions, which are for instance caused by fluid structure interactions on scaled aircraft models inside a wind tunnel, from microphone array…

Numerical Analysis · Mathematics 2022-10-05 Roland Griesmaier , Hans-Georg Raumer

Higgs Effective Field Theory can be used to study vector-boson elastic scattering at the high energies relevant for the LHC. For most of the parameter space, the scattering is strongly interacting, with the minimal Standard Model being a…

High Energy Physics - Phenomenology · Physics 2018-08-15 Rafael L. Delgado , Antonio Dobado , Felipe J. Llanes-Estrada

Vector boson scatterings are fundamental processes to shed light on the nature of the electroweak symmetry breaking mechanism. Deviations from the Standard Model predictions on the corresponding observables can be interpreted in terms of…

High Energy Physics - Phenomenology · Physics 2019-07-24 P. Kozow , L. Merlo , S. Pokorski , M. Szleper

We re-analyze the conditions for the phenomenon of intermittency (self-similar fluctuations) to occur in models of multifragmentation. Analyzing two different mechanisms, the bond-percolation and the ERW (Elattari, Richert and Wagner)…

Nuclear Theory · Physics 2008-11-26 D. Lacroix , R. Peschanski

We analyze the kinematic conditions under which the scattering of equivalent massive spin-1 vector bosons factorizes out of the complete process. In practice, we derive the conditions for the validity of the effective W approximation,…

High Energy Physics - Phenomenology · Physics 2015-06-04 Pascal Borel , Roberto Franceschini , Riccardo Rattazzi , Andrea Wulzer