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A simple parametrization of the QCD running coupling at low scales is introduced and used to illustrate various schemes for the estimation of non-perturbative power corrections. The `infrared matching' scheme proposed earlier gives…

High Energy Physics - Phenomenology · Physics 2010-02-03 B. R. Webber

Precision experimental tests of the Standard Model of particle physics (SM) are one of our best hopes for discovering what new physics lies beyond the SM (BSM). Key in the search for new physics is the connection between theory and…

The Quantum Chromodynamics (QCD) coupling, $\alpha_s$, is not a physical observable of the theory since it depends on conventions related to the renormalization procedure. We introduce a definition of the QCD coupling, denoted by…

High Energy Physics - Phenomenology · Physics 2016-10-12 Diogo Boito , Matthias Jamin , Ramon Miravitllas

By deriving influence functions related to multiple-set linear canonical analysis (MSLCA) we show that the classical version of this analysis, based on empirical covariance operators, is not robust. Then, we introduce a robust version of…

Statistics Theory · Mathematics 2018-11-08 Ulrich Djemby Bivigou , Guy Martial Nkiet

The properties of the new analytic running coupling are investigated at the higher loop levels. The expression for this invariant charge, independent of the normalization point, is obtained by invoking the asymptotic freedom condition. It…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Nesterenko , I. L. Solovtsov

In the framework of the analytic approach to Quantum Chromodynamics a new model for the strong running coupling has recently been developed. Its underlying idea is to impose the analyticity requirement on the perturbative expansion of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Nesterenko

We determine the fine-tuning of the Yukawa couplings of supersymmetric QCD, discretized on a lattice. We use perturbation theory at one-loop level. The Modified Minimal Subtraction scheme ($\overline{{\rm MS}}$) is employed; by its…

High Energy Physics - Lattice · Physics 2023-11-01 Marios Costa , Herodotos Herodotou

A multiconfigurational adiabatic connection (AC) formalism is an attractive approach to computing dynamic correlation within CASSCF and DMRG models. Practical realizations of AC have been based on two approximations: i) fixing one- and…

Chemical Physics · Physics 2023-02-15 Mikuláš Matoušek , Michał Hapka , Libor Veis , Katarzyna Pernal

Symbolic Data Analysis (SDA) is a relatively new field of statistics that extends conventional data analysis by taking into account intrinsic data variability and structure. Unlike conventional data analysis, in SDA the features…

Statistics Theory · Mathematics 2021-01-27 M. Rosário Oliveira , Margarida Azeitona , António Pacheco , Rui Valadas

We find novel perturbative fixed points by introducing mildly spacetime-dependent couplings into otherwise marginal terms. In four-dimensional QFT, these are physical analogues of the small-$\epsilon$ Wilson-Fisher fixed point. Rather than…

High Energy Physics - Theory · Physics 2013-08-07 Xi Dong , Bart Horn , Eva Silverstein , Gonzalo Torroba

We exploit theoretical results on the meson spectrum within the framework of a Bethe-Salpeter (BS) formalism adjusted for QCD, in order to extract an ``experimental'' coupling \alpha_s^{exp}(Q^2) below 1 GeV by comparison with the data. Our…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Baldicchi , A. V. Nesterenko , G. M. Prosperi , D. V. Shirkov , C. Simolo

We introduced some contact potentials that can be written as a linear combination of the Dirac delta and its first derivative, the $\delta$-$\delta'$ interaction. After a simple general presentation in one dimension, we briefly discuss a…

A QCD model with an infinite number of vector mesons suggested by one of the authors is used to derive the value of the correction $\delta\alpha_{hadr}$ for $\alpha(m_{Z}^{2})$ due to the strong interactions. The result is…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. V. Geshkenbein , V. L. Morgunov

The effective charges motivated method is applied to the relation between pole and $\rm{\overline{MS}}$-scheme heavy quark masses to study high order perturbative QCD corrections in the observable quantities proportional to the running…

High Energy Physics - Phenomenology · Physics 2018-12-05 A. L. Kataev , V. S. Molokoedov

The relational formalism based on geometrical clocks and Dirac observables in linearized canonical cosmological perturbation theory is used to introduce an efficient method to find evolution equations for gauge invariant variables. Our…

General Relativity and Quantum Cosmology · Physics 2019-04-16 Kristina Giesel , Parampreet Singh , David Winnekens

Detrended fluctuation analysis (DFA) and detrended moving average (DMA) are two scaling analysis methods designed to quantify correlations in noisy non-stationary signals. We systematically study the performance of different variants of the…

Other Condensed Matter · Physics 2009-11-10 L. Xu , P. Ch. Ivanov , K. Hu , Z. Chen , A. Carbone , H. E. Stanley

The Quantum Chromodynamics (QCD) coupling $\alpha_s$ is a central parameter in the Standard Model of particle physics. However, it depends on theoretical conventions related to renormalisation and hence is not an observable quantity. In…

High Energy Physics - Phenomenology · Physics 2017-04-05 Diogo Boito , Matthias Jamin , Ramon Miravitllas

Movable Antenna (MA) technology is emerging as a promising advancement with the potential to significantly enhance the performance of future wireless communication and sensing systems. In this paper, we address two-dimensional (2D)…

Signal Processing · Electrical Eng. & Systems 2026-04-07 Chengzhi Ye , Ruoyu Zhang , Lei Yao , Wen Wu

Movable antenna (MA) is a promising technology to improve wireless communication performance by varying the antenna position in a given finite area at the transceivers to create more favorable channel conditions. In this paper, we…

Information Theory · Computer Science 2024-03-26 Lipeng Zhu , Wenyan Ma , Boyu Ning , Rui Zhang

Bifurcations in a system of coupled maps are investigated. Using symbolic dynamics it is proven that for coupled shift maps the well known space--time--mixing attractor becomes unstable at a critical coupling strength in favour of a…

chao-dyn · Physics 2016-08-14 Wolfram Just
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