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I demonstrate that the amplitude of the high-energy scattering can be factorized in a convolution of the contributions due to fast and slow fields. The fast and slow fields interact by means of Wilson-line operators -- infinite gauge…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ian Balitsky

We investigate the longitudinal $WW$ scattering in models of dynamical electroweak symmetry breaking featuring a spin one axial and vector state and a composite Higgs. We also investigate the effects of a composite spin two state which has…

High Energy Physics - Phenomenology · Physics 2010-01-08 Roshan Foadi , Matti Järvinen , Francesco Sannino

We consider the scattering amplitudes of the form V_1 V_2 -> V_3 V_4, where V_i=\gamma, Z, W or g(=gluon) are the Standard Model gauge bosons, due to graviton exchange in Kaluza-Klein theories with large extra dimensions. This leads to a…

High Energy Physics - Phenomenology · Physics 2009-10-31 David Atwood , Shaouly Bar-Shalom , Amarjit Soni

We study the effects of random scatterers on the ground state of the one-dimensional Lieb-Liniger model of interacting bosons on the unit interval in the Gross-Pitaevskii regime. We prove that Bose Einstein condensation survives even a…

Mathematical Physics · Physics 2013-01-25 R. Seiringer , J. Yngvason , V. A. Zagrebnov

The conformal algebra provides powerful constraints, which guarantee that renormalized conformally covariant operators exist in the hypothetical conformal limit of the theory, where the $\beta$-function vanishes. Thus, in this limit also…

High Energy Physics - Phenomenology · Physics 2016-08-15 D. Müller

Theory of Supersymmetric Quantum Electrodynamics is extended by interactions with external vector and tensor backgrounds, that are assumed to be generated by some Lorentz-violating (LV) dynamics at an ultraviolet scale perhaps related to…

High Energy Physics - Phenomenology · Physics 2011-10-11 Pavel A. Bolokhov , Stefan Groot Nibbelink , Maxim Pospelov

We examine nonrenormalizable Lorentz- and CPT-violating effective operators applied to the quark sector of the Standard Model. Using Drell-Yan events collected by the ATLAS and CMS Collaborations, several constraints are extracted from…

High Energy Physics - Phenomenology · Physics 2024-12-20 Enrico Lunghi , Nathaniel Sherrill

It is possible that measurements of vector boson scattering (VBS) at the LHC will reveal disagreement with Standard Model predictions, but no new particles will be observed directly. The task is then to learn as much as possible about the…

High Energy Physics - Phenomenology · Physics 2018-06-08 Jan Kalinowski , Paweł Kozów , Stefan Pokorski , Janusz Rosiek , Michał Szleper , Sławomir Tkaczyk

We study the statistical properties of the complex generalization of Wigner time delay $\tau_\text{W}$ for sub-unitary wave chaotic scattering systems. We first demonstrate theoretically that the mean value of the $\text{Re}[\tau_\text{W}]$…

Disordered Systems and Neural Networks · Physics 2021-11-15 Lei Chen , Steven M. Anlage , Yan V. Fyodorov

The field equations of the auxiliary fields are nonlinear and free of derivatives. Hence, it is argued, a Legendre transform to generate the 1PI Generating Functionals is not correct for the auxiliary fields. A corrected formulation of the…

High Energy Physics - Theory · Physics 2007-05-23 John Dixon

We incorporate non-zero lattice-spacing effects into L\"uscher's finite-volume scattering formalism. The new quantization condition takes lattice energies as input and returns a version of the discretized scattering amplitude whose…

High Energy Physics - Lattice · Physics 2024-08-14 Maxwell T. Hansen , Toby Peterken

In this work, in the light of the developments for indefinite metric theories made by Lee and Wick, we study perturbative unitarity in a Lorentz-invariance violating QED model with higher-order operators. We show that by following the…

High Energy Physics - Phenomenology · Physics 2016-07-26 Carlos M. Reyes , Luis F. Urrutia

The MHV scattering amplitudes in planar N=4 SYM are dual to bosonic light-like Wilson loops. We explore various proposals for extending this duality to generic non-MHV amplitudes. The corresponding dual object should have the same…

High Energy Physics - Theory · Physics 2015-05-27 A. V. Belitsky , G. P. Korchemsky , E. Sokatchev

We study the constraints implied by partial wave unitarity on new physics in the form of spin-zero di-boson resonances at LHC. We derive the scale where the effective description in terms of the SM supplemented by a single resonance is…

High Energy Physics - Phenomenology · Physics 2019-04-03 Luca Di Luzio , Jernej F. Kamenik , Marco Nardecchia

One of the much-debated novel features of theories with extra dimensions is the presence of power-like loop corrections to gauge coupling unification, which have the potential of allowing a significant reduction of the unification scale. A…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Hebecker , A. Westphal

We study the effects of two-body Higgs boson scattering by exchanging unpsrticles. The unparticle contribution can change the standard model prediction for two-body Higgs boson scattering partial wave amplitude significantly leading to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Xiao-Gang He , Chung-Cheng Wen

We continue the study of scattering theory for the system consisting of a Schr"odinger equation and a wave equation with a Yukawa type coupling in space dimension 3. In previous papers, we proved the existence of modified wave operators for…

Analysis of PDEs · Mathematics 2007-05-23 J. Ginibre , G. Velo

Is string theory uniquely determined by self-consistency? Causality and unitarity seemingly permit a multitude of putative deformations, at least at the level of two-to-two scattering. Motivated by this question, we initiate a systematic…

High Energy Physics - Theory · Physics 2024-03-19 Nima Arkani-Hamed , Clifford Cheung , Carolina Figueiredo , Grant N. Remmen

We uncover a novel mechanism for superscattering of subwavelength resonators closely associated with the physics of bound states in the continuum. We demonstrate that superscattering occurs as a consequence of constructive interference…

We study the perturbative unitarity bound given by dimension six derivative interactions consisting of Higgs doublets. These operators emerge from kinetic terms of composite Higgs models or integrating out heavy particles that interact with…

High Energy Physics - Phenomenology · Physics 2014-10-14 Yohei Kikuta , Yasuhiro Yamamoto