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We present a novel method for precisely determining the QCD running coupling from $R_{\rm uds}$ measurements in electron-positron annihilation. When calculating the fixed-order perturbative QCD (pQCD) approximant of $R_{\rm uds}$, its…

High Energy Physics - Phenomenology · Physics 2023-07-18 Jian-Ming Shen , Bing-Hai Qin , Jiang Yan , Sheng-Quan Wang , Xing-Gang Wu

Using the imaginary time formalism in thermal field theory, we derive running coupling constant and running mass in two loop order. In the process, we express the imaginary time formalism of Feynman diagrams as the summation of non-thermal…

High Energy Physics - Theory · Physics 2022-02-09 K. Arjun , A. M. Vinodkumar , Vishnu Mayya Bannur

Thanks to dimensional reduction, the infrared contributions to the QCD pressure can be obtained from two different three-dimensional effective field theories, called the Electrostatic QCD (Yang-Mills plus adjoint Higgs) and the…

High Energy Physics - Lattice · Physics 2008-11-26 C. Torrero , M. Laine , Y. Schroder , F. Di Renzo , V. Miccio

We revisit the extraction of $\alpha_s(M_\tau^2)$ from the QCDperturbative corrections to the hadronic $\tau$ branching ratio, using an improved fixed-order perturbation theory based on the explicit summation of all renormalization-group…

High Energy Physics - Phenomenology · Physics 2012-05-22 Gauhar Abbas , B. Ananthanarayan , Irinel Caprini

We calculate the QCD cross-over temperature, the equation of state and fluctuations of conserved charges at finite density by analytical continuation from imaginary to real chemical potentials. Our calculations are based on new continuum…

Nuclear Theory · Physics 2016-11-23 R. Bellwied , S. Borsanyi , Z. Fodor , J. Gunther , S. D. Katz , A. Pasztor , C. Ratti , K. K. Szabo

The QCD running coupling costant is studied in the perturbative region, considering the existing experimental data, and also in the nonperurbative region, at low momentum transfer. A continous phenomenological function is determined by…

High Energy Physics - Phenomenology · Physics 2024-10-30 M. De Sanctis

We consider a phenomenologycal parametrization of the QCD running coupling which arises from the dispersion relation respecting the holomorphic properties of the physical QCD observables in the complex momentum plane. The parameters are…

High Energy Physics - Phenomenology · Physics 2017-10-03 Cesar Ayala

We construct models of analytic QCD (i.e.,with the running coupling parameter free of Landau singularities) which address several problems encountered in previous analytic QCD models, among them their incompatibility with the ITEP-OPE…

High Energy Physics - Phenomenology · Physics 2010-06-23 Gorazd Cvetic , Reinhart Koegerler , Cristian Valenzuela

In both QCD and supersymmetric QCD (SQCD) with N_f flavors there are conformal windows where the theory is asymptotically free in the ultraviolet while the infrared physics is governed by a non-trivial fixed-point. In SQCD, the lower N_f…

High Energy Physics - Theory · Physics 2010-02-03 Einan Gardi , Georges Grunberg

Using the general argument in Borel resummation of perturbation theory that links the divergent perturbation theory to the nonperturbative effect we argue that the nonperturbative effect associated with the perturbation theory should have a…

High Energy Physics - Phenomenology · Physics 2009-11-07 Taekoon Lee

Using a system of the corresponding Schwinger-Dyson equations of motion, a pure dynamical theory of quark confinement and spontaneous breakdown of chiral symmetry is formulated. It is based on dominated in the QCD vacuum self-interaction of…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Gogohia

The successive perturbative estimates of the pressure of QCD at high temperature T show no sign of convergence, unless the coupling constant g is unrealistically small. Exploiting known results of an effective field theory which separates…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. -P. Blaizot , E. Iancu , A. Rebhan

We introduce the running coupling constant of QCD in the high temperature phase, $\tilde{g}^2(T)$, through a renormalization scheme where the dimensional reduction is optimal at the one-loop level. We then calculate the relevant scale…

High Energy Physics - Phenomenology · Physics 2010-11-01 Suzhou Huang , Marcello Lissia

Results of applying analytic perturbation theory (APT) to the Bjorken sum rule are presented. We study the third-order QCD correction within the analytic approach and investigate its renormalization scheme dependence. We demonstrate that,…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. A. Milton , I. L. Solovtsov , O. P. Solovtsova

We apply the optimization procedure based on the Principle of Minimal Sensitivity to the third-order calculation of $R_{\tau}$. Since the effective couplant remains finite, freezing to a value $\alpha_s/\pi = 0.26$ at low energies, we can…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. C. Mattingly

We present a brief overview of analytical QCD, focusing primarily on a less common form of the analytical coupling A_{\rm MA}(Q^2), which is particularly convenient for Q^2\sim\Lambda^2. This form has been extensively used in recent studies…

High Energy Physics - Phenomenology · Physics 2025-10-29 A. V. Kotikov , I. A. Zemlyakov

A dual-rate control system is a hybrid system composed of continuous-time and discrete-time elements with two sampling frequencies. In this work, a new frequency domain analysis and design approach, based on the Quantitative Feedback Theory…

Systems and Control · Electrical Eng. & Systems 2020-02-11 Alfonso Baños , Julián Salt , Vicente Casanova

We present a non-perturbative computation of the running of the coupling alpha_s in QCD with two flavours of dynamical fermions in the Schroedinger functional scheme. We improve our previous results by a reliable continuum extrapolation.…

High Energy Physics - Lattice · Physics 2010-04-05 Michele Della Morte , Roberto Frezzotti , Jochen Heitger , Juri Rolf , Rainer Sommer , Ulli Wolff

We obtain a new value for the QCD coupling constant by combining lattice QCD simulations with experimental data for hadron masses. Our lattice analysis is the first to: 1) include vacuum polarization effects from all three light-quark…

High Energy Physics - Lattice · Physics 2009-11-11 Q. Mason , H. D. Trottier , C. T. H. Davies , K. Foley , A. Gray , G. P. Lepage , M. Nobes , J. Shigemitsu

We study the transport coefficients from the QCD Kondo effect in quark matter which contains heavy quarks as impurity particles. We estimate the coupling constant of the interaction between a light quark and a heavy quark at finite density…

High Energy Physics - Phenomenology · Physics 2018-01-03 Shigehiro Yasui , Sho Ozaki
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