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The Principle of Maximum Conformality (PMC) provides a systematic way to eliminate the renormalization scheme and renormalization scale uncertainties for high-energy processes. We have observed that by applying PMC scale-setting, one…

高能物理 - 唯象学 · 物理学 2018-03-22 Sheng-Quan Wang , Xing-Gang Wu , Zong-Guo Si , Stanley J. Brodsky

In the paper, we study the properties of the top-quark $\overline{\rm MS}$ running mass computed from its on-shell mass by using both the four-loop $\overline{\rm MS}$-on-shell relation and the principle of maximum conformality (PMC)…

高能物理 - 唯象学 · 物理学 2020-06-25 Xu-Dong Huang , Xing-Gang Wu , Jun Zeng , Qing Yu , Xu-Chang Zheng , Shuai Xu

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

We reanalyze the perturbative QCD (pQCD) corrections to quarkonium QCD sum rules and extract the heavy quark masses $\overline{m}_{q}(\overline{m}_{q})$ ($q=c,b$). At present, the pQCD corrections to the correlation functions of two…

高能物理 - 唯象学 · 物理学 2026-05-11 Qing Yu , Hua Zhou , Xing-Gang Wu

A primary problem for perturbative QCD analyses is how to set the renormalization scale of the QCD running coupling in order to achieve maximally precise fixed-order predictions for physical observables. The Principle of Maximum…

高能物理 - 唯象学 · 物理学 2015-11-06 Xing-Gang Wu , Sheng-Quan Wang , Stanley J. Brodsky

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…

高能物理 - 唯象学 · 物理学 2018-12-05 A. L. Kataev , V. S. Molokoedov

In this paper, we calculate the $t\bar{t}$ pQCD production cross-section at NNLO and determine the top-quark pole mass from recent measurements at the LHC at $\sqrt{S}=13$ TeV center-of-mass energy to high precision by applying the…

高能物理 - 唯象学 · 物理学 2021-11-29 Sheng-Quan Wang , Xing-Gang Wu , Jian-Ming Shen , Stanley J. Brodsky

The principle of maximum conformality (PMC) provides a convenient way for setting the optimal renormalization scales for high-energy processes, which can eliminate the conventional renormalization scale error via an order-by-order manner.…

高能物理 - 唯象学 · 物理学 2014-06-05 Sheng-Quan Wang , Xing-Gang Wu , Xu-Chang Zheng , Gu Chen , Jian-Ming Shen

The Principle of Maximum Conformality (PMC) provides a systematic and process-independent method to derive renormalization scheme- and scale- independent fixed-order pQCD predictions. In Ref.\cite{pmc3}, we studied the top-quark charge…

高能物理 - 唯象学 · 物理学 2014-12-31 Sheng-Quan Wang , Xing-Gang Wu , Zong-Guo Si , Stanley J. Brodsky

We analyse the top-quark decay at the next-to-next-to-leading order (NNLO) in QCD by using the Principle of Maximum Conformality (PMC) which provides a systematic way to eliminate renormalization scheme and scale ambiguities in perturbative…

高能物理 - 唯象学 · 物理学 2023-02-08 Rui-Qing Meng , Sheng-Quan Wang , Ting Sun , Chao-Qin Luo , Jian-Ming Shen , Xing-Gang Wu

It has been observed that conventional renormalization scheme and scale ambiguities for the pQCD predictions can be eliminated by using the principle of maximum conformality (PMC). However, being the intrinsic nature of any perturbative…

高能物理 - 唯象学 · 物理学 2021-08-18 Qing Yu , Hua Zhou , Jiang Yan , Xu-Dong Huang , Xing-Gang Wu

It has been shown that the principle of maximum conformality (PMC) provides a systematic way to solve conventional renormalization scheme and scale ambiguities. The scale-fixed predictions for physical observables using the PMC are…

高能物理 - 唯象学 · 物理学 2024-04-11 Xu-Dong Huang , Xing-Gang Wu , Xu-Chang Zheng , Jiang Yan , Zhi-Fei Wu , Hong-Hao Ma

In this paper, we give comprehensive analyses for event shape observables in electron-positron annihilation by using the Principle of Maximum Conformality (PMC) which is a rigorous scale-setting method to eliminate the renormalization…

高能物理 - 唯象学 · 物理学 2022-10-19 Sheng-Quan Wang , Chao-Qin Luo , Xing-Gang Wu , Jian-Ming Shen , Leonardo Di Giustino

It is conventional to choose a typical momentum transfer of the process as the renormalization scale and take an arbitrary range to estimate the uncertainty in the QCD prediction. However, predictions using this procedure depend on the…

高能物理 - 唯象学 · 物理学 2012-07-24 Stanley J. Brodsky , Xing-Gang Wu

Precision determinations of the top-quark mass require theory predictions with a well-defined mass parameter in a given renormalization scheme. The top-quark's running mass in the MSbar scheme can be extracted with good precision from the…

高能物理 - 唯象学 · 物理学 2014-08-27 S. Moch

The summary of the available semi-analytical results for the three-loop corrections to the QCD static potential and for the $\mathcal{O}(\alpha_s^4)$ contributions to the ratio of the running and pole heavy quark masses are presented. The…

高能物理 - 唯象学 · 物理学 2016-12-21 A. L. Kataev , V. S. Molokoedov

A key problem in making precise perturbative QCD predictions is the uncertainty in determining the renormalization scale $\mu$ of the running coupling $\alpha_s(\mu^2).$ The purpose of the running coupling in any gauge theory is to sum all…

高能物理 - 唯象学 · 物理学 2012-10-26 Stanley J. Brodsky , Leonardo Di Giustino

The D0 collaboration at FermiLab has recently measured the top-quark pair forward-backward asymmetry in $\bar p p \to t \bar{t} X$ reactions as a function of the $t\bar{t} $ invariant mass $M_{t\bar{t}}$. The D0 result for $A_{\rm…

高能物理 - 唯象学 · 物理学 2016-01-08 Sheng-Quan Wang , Xing-Gang Wu , Zong-Guo Si , Stanley J. Brodsky

In this paper, we reanalyze the top-quark pair production at the next-to-next-to-leading order (NNLO) in QCD at future $e^+e^-$ colliders by using the Principle of Maximum Conformality (PMC) method. The PMC renormalization scales in…

高能物理 - 唯象学 · 物理学 2024-02-06 Jin Ma , Sheng-Quan Wang , Ting Sun , Jian-Ming Shen , Xing-Gang Wu

In this paper, we clarify a serious misinterpretation and consequent misuse of the Principle of Maximum Conformality (PMC), which also can be served as a mini review of PMC. We emphasize that the purpose of the PMC is to achieve precise…

高能物理 - 唯象学 · 物理学 2025-04-03 Jiang Yan , Stanley J. Brodsky , Leonardo Di Giustino , Philip G. Ratcliffe , Sheng-Quan Wang , Xing-Gang Wu
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