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The intrinsic conformality is a general property of the renormalizable gauge theory, which ensures the scale-invariance of a fixed-order series at each perturbative order. Following the idea of intrinsic conformality, we suggest a novel…

High Energy Physics - Phenomenology · Physics 2023-03-01 Jiang Yan , Zhi-Fei Wu , Jian-Ming Shen , Xing-Gang Wu

The decay rate of the $\tau$ lepton into hadrons of invariant mass smaller than $Q\gg\Lambda_{\rm QCD}$ can be calculated in QCD using the OPE. Using experimental data on the hadronic mass distribution, the running coupling constant…

High Energy Physics - Phenomenology · Physics 2007-05-23 Maria Girone , Matthias Neubert

Using continuum extrapolated lattice data we trace a family of running couplings in three-flavour QCD over a large range of scales from about 4 to 128 GeV. The scale is set by the finite space time volume so that recursive finite size…

High Energy Physics - Lattice · Physics 2018-06-13 Mattia Dalla Brida , Patrick Fritzsch , Tomasz Korzec , Alberto Ramos , Stefan Sint , Rainer Sommer

We discuss our present knowledge of $\alpha_s$, the fundamental running coupling or effective charge of Quantum Chromodynamics (QCD). A precise understanding of the running of $\alpha_s(Q^2) $ at high momentum transfer, $Q$, is necessary…

High Energy Physics - Phenomenology · Physics 2023-12-04 A. Deur , S. J. Brodsky , C. D. Roberts

The analytical method of QCD running coupling constant is extended to a model with an all-order beta function which is inspired by the famous Novikov-Shifman-Vai\-n\-s\-htein-Zakharov beta function of N=1 supersymmetric gau\-g\-e theories.…

High Energy Physics - Theory · Physics 2017-11-28 Zhi-Yuan Zheng , Gao-Liang Zhou

A numerical value for the running electromagnetic coupling constant in the MS scheme is calculated at the low energy normalization scale equal to the tau-lepton mass M_\tau. This low energy boundary value is used for running the…

High Energy Physics - Phenomenology · Physics 2011-01-27 A. A. Pivovarov

A novel method to extract the QCD coupling alpha_s from the energy evolution of the moments of the parton-to-hadron fragmentation functions at low fractional hadron momentum z, is presented. The evolution of the moments (multiplicity, peak,…

High Energy Physics - Phenomenology · Physics 2014-08-14 David d'Enterria , and Redamy Perez-Ramos

Analytic QCD models are those where the QCD running coupling has the physically correct analytic behavior, i.e., no Landau singularities in the Euclidean regime. We present a simple analytic QCD model in which the discontinuity function of…

High Energy Physics - Phenomenology · Physics 2014-11-21 Carlos Contreras , Gorazd Cvetic , Olivier Espinosa , Hector E. Martinez

We present a new subtraction scheme for computing jet cross sections in electron-positron annihilation at next-to-leading order accuracy in perturbative QCD. The new scheme is motivated by problems emerging in extending the subtraction…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gabor Somogyi , Zoltan Trocsanyi

We present a method for calculating event shapes in QCD based on correlation functions of conserved currents. The method has been previously applied to the maximally supersymmetric Yang-Mills theory, but we demonstrate that supersymmetry is…

High Energy Physics - Theory · Physics 2021-02-24 D. Chicherin , J. M. Henn , E. Sokatchev , K. Yan

To obtain the value of electromagnetic coupling constant at $q^2=m^2_Z$, $\bar{\alpha}$, which plays a key role in electroweak physics one has to integrate the cross-section of $e^+e^-$-annihilation into hadrons divided by $(s-m^2_Z)$ over…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. B. Nevzorov , A. V. Novikov , M. I. Vysotsky

Perturbative QCD (pQCD) running coupling a(Q^2) (=alpha_s(Q^2)/pi) is expected to get modified at low spacelike momenta 0 < Q^2 < 1 GeV^2 so that, instead of having unphysical (Landau) singularities it remains smooth and finite there, due…

High Energy Physics - Phenomenology · Physics 2015-06-17 Gorazd Cvetič

Through a holographic model of QCD, we present a phenomenological approach to study the running of the strong coupling constant $\alpha_s$ in both non-perturbative and perturbative regimes. The renormalization of the metric tensor, driven…

High Energy Physics - Phenomenology · Physics 2025-09-22 Héctor Cancio , Pere Masjuan

We examine, in the `t Hooft renormalization scheme, the analytic running coupling $\bar\alpha_t(Q^2)$ in QCD, using the two-loop $\beta$-function with positive expansion parameters $\beta_0$ and $\beta_1$. An exact integral representation…

High Energy Physics - Theory · Physics 2022-07-27 F. T. Brandt , J. Frenkel , D. G. C. McKeon , G. S. S. Sakoda

We construct predictions for top quark pair differential distributions at hadron colliders that combine state-of-the-art NNLO QCD calculations with double resummation at NNLL' accuracy of threshold logarithms arising from soft gluon…

High Energy Physics - Phenomenology · Physics 2018-06-07 Michal Czakon , Andrea Ferroglia , David Heymes , Alexander Mitov , Ben D. Pecjak , Darren J. Scott , Xing Wang , Li Lin Yang

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

Previously developed Pade-related method of resummation for QCD observables, which achieves exact renormalization-scale-invariance, is extended so that the scheme-invariance is obtained as well. The dependence on the leading scheme…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. Cvetic

We extend the adiabatic regularization method by introducing an arbitrary mass scale $\mu$ in the construction of the subtraction terms. This allows us to obtain, in a very robust way, the running of the coupling constants by demanding…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Antonio Ferreiro , Jose Navarro-Salas

The QCD one-loop renormalization is restudied in a mass-dependent subtraction scheme in which the quark mass is not set to vanish and the renormalization point is chosen to be an arbitrary timelike momentum. The correctness of the…

High Energy Physics - Theory · Physics 2007-05-23 Jun-Chen Su , Lian-You Shan , Ying-Hui Cao

We report results of our recent works [1,2] where we where the correlations between the c,b-quark running masses{m}_{c,b}, the gluon condensate<\alpha_s G^2> and the QCD coupling \alpha_s in the MS-scheme from an analysis of the charmonium…

High Energy Physics - Phenomenology · Physics 2023-08-08 Stephan Narison