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In this lecture I present some of the new developments concerning the use of Pade Approximants (PA's) for resumming perturbative series in QCD. It is shown that PA's tend to reduce the renormalization scale and scheme dependence as compared…

高能物理 - 唯象学 · 物理学 2011-04-15 Einan Gardi

We study the normalization of perturbative QCD corrections to the inclusive $B \rightarrow X_s \gamma$ decay. We propose to set the renormalization scale using the Brodsky-Lepage-Mackenzie (BLM) method. In the proposed method the scale is…

高能物理 - 唯象学 · 物理学 2008-02-03 Junegone Chay , Soo-Jong REY

The next-to-leading order (NLO) corrections to the BFKL equation in the BLM optimal scale setting are briefly discussed. A striking feature of the BLM approach is rather weak Q^2-dependence of the Pomeron intercept, which might indicate an…

高能物理 - 唯象学 · 物理学 2007-05-23 Victor T. Kim , Lev N. Lipatov , Grigorii B. Pivovarov

The problem of precise evaluation of the perturbative QCD predictions at moderate energies is considered. Substantial renormalization scheme dependence of the perturbative predictions obtained with the conventional renormalization group…

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

We propose a novel method to determine the strong coupling of quantum chromodynamics (QCD) and fix its running behavior at all scales by using the Bjorken sum rules (BSR). The BSR defines an effective coupling $\alpha^{g_1}_s(Q)$ which…

高能物理 - 唯象学 · 物理学 2025-01-28 Qing Yu , Xing-Gang Wu , Hua Zhou , Jian-Ming Shen

We directly fit the QCD dimensional transmutation parameter, Lambda MS-bar, to experimental data on e+e- jet observables, making use of next-to-leading order (NLO) perturbative calculations. In this procedure there is no need to mention,…

高能物理 - 唯象学 · 物理学 2009-10-31 S. J. Burby , C. J. Maxwell

The process of renormalization to eliminate divergences arising in quantum field theory is not uniquely defined; one can always perform a finite renormalization, rendering finite perturbative results ambiguous. The consequences of making…

高能物理 - 唯象学 · 物理学 2019-01-24 D. G. C. McKeon , Chenguang Zhao

Physical quantities in QCD are independent of renormalization scheme (RS), but that exact invariance is spoiled by truncations of the perturbation series. "Optimization" corresponds to making the perturbative approximant, at any given…

高能物理 - 唯象学 · 物理学 2016-06-23 P. M. Stevenson

In the present paper, we first give a detailed study on the pQCD corrections to the leading-twist part of BSR. Previous pQCD corrections to the leading-twist part derived under conventional scale-setting approach up to ${\cal…

高能物理 - 唯象学 · 物理学 2021-08-04 Qing Yu , Xing-Gang Wu , Hua Zhou , Xu-Dong Huang

We calculate the next-to-leading order QCD corrections to the perturbative term in the operator product expansion of the spectral functions of light tetraquark currents. By using also configuration space methods we keep the momentum space…

高能物理 - 唯象学 · 物理学 2014-10-01 S. Groote , J. G. Körner , D. Niinepuu

We analyse approximate solutions to an exact renormalisation group equation with particular emphasis on their dependence on the regularisation scheme, which is kept arbitrary. Physical quantities related to the coarse-grained potential of…

高能物理 - 理论 · 物理学 2009-10-30 Daniel F. Litim

A complete calculation of the ${\cal O}(\alpha_s^4)$ perturbative QCD corrections to the hadronic decay width of the $Z$-boson has recently been performed by Baikov et al.[1]. In their analysis, Baikov et al. relied on the conventional…

高能物理 - 唯象学 · 物理学 2014-08-29 Sheng-Quan Wang , Xing-Gang Wu , Stanley J. Brodsky

We investigate the relation between a postulated skeleton expansion and the conformal limit of QCD. We begin by developing some consequences of an Abelian-like skeleton expansion, which allows one to disentangle running-coupling effects…

高能物理 - 唯象学 · 物理学 2009-09-11 Stanley J. Brodsky , Einan Gardi , Georges Grunberg , Johan Rathsman

We suggest a method of summing the perturbation theory (PT) asymptotic series related to infrared (IR) renormalons in QCD by using special renormalization schemes in which the running coupling can be integrated over the region of small…

高能物理 - 唯象学 · 物理学 2009-10-28 N. V. Krasnikov , A. A. Pivovarov

We calculate next to leading order QCD corrections to the direct decays b -> J/Psi + X and b -> eta_c + X. The strong renormalization scale dependence is seen to persist also in this order and in fact the rate is driven to an unphysical…

高能物理 - 唯象学 · 物理学 2010-11-01 L. Bergstrom , P. Ernstrom

In this thesis, we develop resummation algorithms suitable for perturbative QCD. In the first part, we propose a resummation technique applicable to the Regge limit. We develop a new systematic procedure for this limit in perturbative QCD…

高能物理 - 唯象学 · 物理学 2007-05-23 Tibor Kucs

The Principle of Maximum Conformality (PMC) eliminates QCD renormalization scale-setting uncertainties using fundamental renormalization group methods. The resulting scale-fixed pQCD predictions are independent of the choice of…

高能物理 - 唯象学 · 物理学 2015-07-01 Huan-Yu Bi , Xing-Gang Wu , Yang Ma , Hong-Hao Ma , Stanley J. Brodsky , Matin Mojaza

The Principle of Maximum Conformality (PMC) provides scale-fixed perturbative QCD predictions which are independent of the choice of the renormalization scheme, as well as the choice of the initial renormalization scale. In this article, we…

高能物理 - 唯象学 · 物理学 2017-08-22 Alexandre Deur , Jian-Ming Shen , Xing-Gang Wu , Stanley J. Brodsky , Guy F. de Teramond

An outline is given of an extended perturbative solution of Euclidean QCD which systematically accounts for a class of nonperturbative effects, while allowing renormalization by the perturbative counterterms. Proper vertices Gamma are…

高能物理 - 理论 · 物理学 2014-11-18 M. Stingl

We consider the two-fold expansion in powers of the conformal anomaly and of the strong coupling $\alpha_s$ for the non-singlet contributions to Adler $D$-function and Bjorken polarized sum rule calculated previously in the $\MSbar$-scheme…

高能物理 - 唯象学 · 物理学 2022-05-25 I. O. Goriachuk , A. L. Kataev , V. S. Molokoedov