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Modifications of the QCD perturbative expansions by the subtraction of the dominant infrared renormalon have been proposed recently as attempts to solve the long-standing discrepancy between fixed-order and contour-improved perturbation…

高能物理 - 唯象学 · 物理学 2024-03-19 Irinel Caprini

The QCD analysis of hadronic tau decays is reviewed and a summary of the present phenomenological status is presented. The following topics are discussed: the determination of alpha_s(m_tau) = 0.338 +- 0.012 from the inclusive tau hadronic…

高能物理 - 唯象学 · 物理学 2011-09-20 Antonio Pich

We reevaluate the hadronic contribution to the running of the QED fine structure constant alpha(s) at s = M_Z^2. We use data from e+e- annihilation and tau decays at low energy and at the qq-bar thresholds, where resonances occur. Using…

高能物理 - 唯象学 · 物理学 2016-02-17 M. Davier , A. Hoecker

A recent extension of a variationally optimized perturbation, combined with renormalization group properties in a straightforward way, can provide approximations to nonperturbative quantities such as the chiral symmetry breaking order…

高能物理 - 唯象学 · 物理学 2013-05-30 J. -L. Kneur , A. Neveu

We examine the QCD perturbation series at large orders, for different values of the 'large $\beta_0$ renormalization scale'. It is found that if we let this scale grow exponentially with the order, the divergent series can be turned into an…

高能物理 - 唯象学 · 物理学 2009-11-10 K. Van Acoleyen , H. Verschelde

Perturbation expansions appear to be divergent series in many physically interesting situations, including in quantum field theories like quantum electrodynamics (QED) and quantum chromodynamics (QCD), where the perturbative coefficients…

高能物理 - 唯象学 · 物理学 2018-01-26 Irinel Caprini , Jan Fischer , Gauhar Abbas , B. Ananthanarayan

We review the current status of the high order perturbative QCD evaluation of the hadronic decay rates of the Z and Higgs bosons. A systematic classification of the various types of QCD corrections to $O(\alpha_s^2)$ and $O(\alpha_s^3)$ is…

高能物理 - 唯象学 · 物理学 2007-05-23 Davison E. Soper , Levan R. Surguladze

A systematic method is proposed for analyzing the renormalization scheme uncertainties in the next-next-to-leading order QCD predicitions, based on a condition which eliminates schemes that give rise to large cancellations in the expression…

高能物理 - 唯象学 · 物理学 2007-05-23 Piotr A. Raczka

A summary of the current understanding of methods of analytical higher order perturbative computations of total cross sections and decay widths in Quantum Chromodynamics is presented. As examples, the total cross section in electron…

高能物理 - 唯象学 · 物理学 2009-10-28 Levan R. Surguladze , Mark A. Samuel

We present an estimate of perturbative QCD corrections to the decay $Z \to Wu\bar d$. A simple approximate approach is described in detail. The difference of masses of $M_Z$ and $M_W$ is used as an expansion parameter. A complete analytical…

高能物理 - 唯象学 · 物理学 2016-08-24 Andrzej Czarnecki , Kirill Melnikov

A method, known as ``minimal renormalon subtraction'' [Phys. Rev. D 97 (2018) 034503, JHEP 2017 (2017) 62], relates the factorial growth of a perturbative series (in QCD) to the power~$p$ of a power correction $\Lambda^p/Q^p$. ($\Lambda$ is…

高能物理 - 唯象学 · 物理学 2024-01-17 Andreas S. Kronfeld

Infrared and collinear events shapes are suited to directly probe properties of hard QCD. They are traditionally used to measure the strong coupling and to test the gauge structure of QCD. Perturbative predictions exist in several…

高能物理 - 唯象学 · 物理学 2007-05-23 D. Wicke

This is a doctoral thesis dissertation developed in the frame of theoretical QCD predictions, with focus on two main topics. On the one hand, the large-order bahavior of perturbative QCD series is discussed. By reviewing the main…

高能物理 - 唯象学 · 物理学 2023-06-27 Nestor G. Gracia

We study the global Q^2 dependence of large x, F_2 nucleon structure function data, with the aim of providing a perturbative-QCD based, quantitative analysis of parton-hadron duality. As opposed to previous analyses at fixed x, we use a…

高能物理 - 唯象学 · 物理学 2014-11-17 S. Liuti , R. Ent , C. E. Keppel , I. Niculescu

The electromagnetic coupling constant, $\alpha$, is one of the fundamental parameters of the Standard Model (SM). Its value at the Z boson mass, $\alpha(M_Z)$, is of particular interest as it enters electroweak precision tests. When running…

高能物理 - 格点 · 物理学 2024-01-09 Sophie Mutzel

We discuss the very rare, exclusive hadronic decays of a Z boson into a meson and a photon. The QCD factorization approach allows to organize the decay amplitude as an expansion in powers of $\Lambda_{\rm QCD}/m_Z\,$, where the leading…

高能物理 - 唯象学 · 物理学 2017-03-22 Stefan Alte , Yuval Grossman , Matthias König , Matthias Neubert

By expanding functions of parton fragmentation into a heavy hadron in the inverse of the heavy quark mass $m_Q$ we attempt to factorize them into perturbative- and nonperturbative parts. In our approach the nonperturbative parts can be…

高能物理 - 唯象学 · 物理学 2011-01-25 J. P. Ma

This talk summarizes the recent development in the evaluation of the leading order hadronic contributions to the running of the QED fine structure constant \alpha(s), at $s=M_{\rm Z}^2$, and to the anomalous magnetic moments of the muon…

高能物理 - 唯象学 · 物理学 2007-05-23 A. Hoecker

For high energy processes ($M\gg \Lambda_{QCD}$) there are infrared safe hadronic shape variables that have a calculable perturbative expansion in $\alpha_s(M^2)$. However, nonperturbative power suppressed corrections to these variables are…

高能物理 - 唯象学 · 物理学 2009-10-28 Aneesh V. Manohar , Mark B. Wise

The conventional series in powers of the coupling in perturbative QCD have zero radius of convergence and fail to reproduce the singularity of the QCD correlators like the Adler function at $\alpha_s=0$. Using the technique of conformal…

高能物理 - 唯象学 · 物理学 2011-10-11 Irinel Caprini , Jan Fischer