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The peculiar propagator of scale invariant unparticles has phases that produce unusual patterns of interference with standard model processes. We illustrate some of these effects in $e^+e^-\to\mu^+\mu^-$.

High Energy Physics - Phenomenology · Physics 2008-11-26 Howard Georgi

The coupling of an unparticle operator O_U to Standard Model particles opens up the possibility of unparticle decays into standard model fields. We study this issue by analyzing the pole structure (and spectral function) of the unparticle…

High Energy Physics - Phenomenology · Physics 2010-04-23 A. Delgado , J. R. Espinosa , J. M. No , M. Quirós

We summarize the works presented in Refs. \cite{1,2} on collider phenomenology of the unparticle physics associated with an exact scale invariant sector possessing a non-trivial infrared fixed point at a high energy scale. We give…

High Energy Physics - Phenomenology · Physics 2007-10-12 Kingman Cheung , Wai-Yee Keung , Tzu-Chiang Yuan

Recently, a conceptually new physics beyond the Standard Model (SM), unparticle, has been proposed, where a hidden conformal sector is coupled to the SM sector through higher dimensional operators. In this setup, we investigate unparticle…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tatsuru Kikuchi , Nobuchika Okada , Michihisa Takeuchi

Phenomenology of the notion of an unparticle U, recently perceived by Georgi, to describe a scale invariant sector with a non-trivial infrared fixed point at a higher energy scale is explored in details. Behaving like a collection of d_U…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kingman Cheung , Wai-Yee Keung , Tzu-Chiang Yuan

The problem of reconstructing functions from their asymptotic expansions in powers of a small variable is addressed by deriving a novel type of approximants. The derivation is based on the self-similar approximation theory, which presents…

Statistical Mechanics · Physics 2009-11-07 S. Gluzman , V. I. Yukalov , D. Sornette

We consider scale invariant theories of continuous mass fields, and show how interactions of these fields with the standard model can reproduce unparticle interactions. There is no fixed point or dimensional transmutation involved in this…

High Energy Physics - Phenomenology · Physics 2009-01-09 N. G. Deshpande , Xiao-Gang He

The unparticle field operator can be expanded in terms of creation and destruction operators corresponding to particles with a continuous mass spectrum. Hence, when the 4-momentum of an unparticle is measured, then the unparticle manifests…

High Energy Physics - Phenomenology · Physics 2008-11-07 H. Nikolic

Since any non-trivial infrared dynamics in strongly correlated electron matter must be controlled by a critical fixed point, we argue that the form of the single-particle propagator can be deduced simply by imposing scale invariance. As a…

Strongly Correlated Electrons · Physics 2013-12-17 Philip W. Phillips , Brandon W. Langley , Jimmy A. Hutasoit

We propose the use of two point Pade approximants to find expressions valid uniformly in coupling constant for theories with both weak and strong coupling expansions. In particular, one can use these approximants in models with a…

High Energy Physics - Theory · Physics 2013-08-15 Tom Banks , T. J. Torres

Commonly used techniques to study non-perturbative aspects of the strong interactions have a deep connection with rational approximants, and in particular with Pad\'e approximants to meromorphic functions. However, only recently this…

High Energy Physics - Phenomenology · Physics 2010-09-17 Oscar Cata

Unparticles are realized by deconstruction in higher extra dimensions. It is shown that in this framework when the scale invariance is broken, the corresponding spectral function of the unparticle is shifted by an amount of the breaking…

High Energy Physics - Phenomenology · Physics 2010-04-21 Jong-Phil Lee

We consider multiscale stochastic systems that are partially observed at discrete points of the slow time scale. We introduce a particle filter that takes advantage of the multiscale structure of the system to efficiently approximate the…

Computation · Statistics 2007-10-29 Anastasia Papavasiliou

A method is suggested for treating the well-known deficiency in the use of Pade approximants that are well suited for approximating rational functions, but confront problems in approximating irrational functions. We develop the approach of…

General Mathematics · Mathematics 2016-09-27 Simon Gluzman , Vyacheslav I. Yukalov

Complex absorbing potentials are frequently imposed when simulating unbound quantum systems. While this is usually done solely in order to avoid artifacts at the numerical boundary, we show how absorbers may also be used to probe the…

Quantum Physics · Physics 2022-03-02 Sølve Selstø

A distance measure is presented between two unitary propagators of quantum systems of differing dimensions along with a corresponding method of computation. A typical application is to compare the propagator of the actual (real) process…

Quantum Physics · Physics 2007-05-23 Robert L. Kosut , Matthew Grace , Constantin Brif , Herschel Rabitz

An introductory review, suitable for the beginning student of high-energy physics or professionals from other fields who may desire familiarity with subatomic-particle detection techniques. Subatomic-particle fundamentals and the basics of…

Instrumentation and Detectors · Physics 2015-07-20 Daniel M. Kaplan , Charles. E. Lane , Kenneth S. Nelson

We study approximations of Feynman path integrals in finite dimensional spaces and how the approximations determine the propagator.

Logic · Mathematics 2024-09-09 Tapani Hyttinen

Pad'e approximants are used to improve the convergence behavior of perturbative results in massless scalar and gauge field theories at finite temperature.

High Energy Physics - Phenomenology · Physics 2016-08-25 Boris Kastening

We explore phenomenological consequences of coupling a non-conformal scale-invariant theory to the standard model. We point out that, under certain circumstances, non-conformal scale-invariant theories have oscillating correlation functions…

High Energy Physics - Theory · Physics 2012-03-07 Jean-François Fortin , Benjamin Grinstein , Andreas Stergiou
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