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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…

High Energy Physics - Phenomenology · Physics 2015-11-06 Xing-Gang Wu , Sheng-Quan Wang , Stanley J. Brodsky

We show results for Thrust and C-parameter in $e^+ e^-$ annihilation to 3 jets obtained using the recently developed new method for eliminating the scale ambiguity and the scheme dependence in pQCD namely the Infinite-Order Scale-Setting…

High Energy Physics - Phenomenology · Physics 2021-10-12 Leonardo Di Giustino , Stanley J. Brodsky , Xing-Gang Wu , Sheng-Quan Wang

In conventional treatments, predictions from fixed-order perturbative QCD calculations cannot be fixed with certainty due to ambiguities in the choice of the renormalization scale as well as the renormalization scheme. In this paper we…

High Energy Physics - Phenomenology · Physics 2012-09-25 Stanley J. Brodsky , 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…

High Energy Physics - Phenomenology · Physics 2021-08-18 Qing Yu , Hua Zhou , Jiang Yan , Xu-Dong Huang , Xing-Gang Wu

The momentum space subtraction (MOM) scheme is one of the most frequently used renormalization schemes in perturbative QCD (pQCD) theory. In the paper, we make a detailed discussion on the gauge dependence of the pQCD prediction under the…

High Energy Physics - Phenomenology · Physics 2020-09-04 Jun Zeng , Xing-Gang Wu , Xu-Chang Zheng , Jian-Ming Shen

As one of the key components of perturbative QCD theory, it is helpful to find a systematic and reliable way to set the renormalization scale for a high-energy process. The conventional treatment is to take a typical momentum as the…

High Energy Physics - Phenomenology · Physics 2015-03-18 Yang Ma , Xing-Gang Wu , Hong-Hao Ma , Hua-Yong Han

The principle of maximum conformality (PMC) has been suggested to eliminate the renormalization scheme and renormalization scale uncertainties, which are unavoidable for the conventional scale setting and are usually important errors for…

High Energy Physics - Phenomenology · Physics 2014-04-14 Sheng-Quan Wang , Xing-Gang Wu , Xu-Chang Zheng , Jian-Ming Shen , Qiong-Lian Zhang

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…

High Energy Physics - Phenomenology · Physics 2021-08-04 Qing Yu , Xing-Gang Wu , Hua Zhou , Xu-Dong Huang

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…

High Energy Physics - Phenomenology · Physics 2017-08-22 Alexandre Deur , Jian-Ming Shen , Xing-Gang Wu , Stanley J. Brodsky , Guy F. de Teramond

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…

High Energy Physics - Phenomenology · Physics 2024-04-11 Xu-Dong Huang , Xing-Gang Wu , Xu-Chang Zheng , Jiang Yan , Zhi-Fei Wu , Hong-Hao Ma

We investigate the \(J/\psi\) direct production mechanism in the rare exclusive Higgs decay \(H\to J/\psi+\gamma\) within nonrelativistic QCD (NRQCD), which provides a clean probe for extracting the charm-quark Yukawa coupling to the Higgs…

High Energy Physics - Phenomenology · Physics 2026-03-06 Qi-Sha Ran , Xing-Gang Wu , Jiang Yan , Xu-Chang Zheng , Chang-Xin Liu

We present a new approach to determining the strong coupling $\alpha_s(Q)$, over the entire range of validity of perturbative QCD, for scales above $\Lambda_{\mathrm{QCD}}$ and up to the Planck scale $\sim1.22\cdot10^{19}$\,GeV, with the…

High Energy Physics - Phenomenology · Physics 2025-09-16 Leonardo Di Giustino , Stanley J. Brodsky , Philip G. Ratcliffe , Sheng-Quan Wang , Xing-Gang Wu

We study the decay width of the Higgs-boson $H\to gg$ up to order $\alpha_s^5$ under the minimal momentum space subtraction scheme (mMOM-scheme). To improve the accuracy of perturbative QCD prediction, we adopt the principle of maximum…

High Energy Physics - Phenomenology · Physics 2016-05-24 Dai-Min Zeng , Sheng-Quan Wang , Xing-Gang Wu , Jian-Ming Shen

The rare exclusive decay of the Higgs boson $H \to J/\psi + \gamma$ is an important channel for measuring the Yukawa coupling of the charm quark. In this article, we analyze the process by employing the Principle of Maximum Conformality…

High Energy Physics - Phenomenology · Physics 2025-12-02 Wen-Yuan Li , Sheng-Quan Wang , Jian-Ming Shen , Hua Zhou , Xing-Gang Wu , Leonardo Di Giustino

The principle of maximum conformality (PMC) is used to remove uncertainties in the renormalization scale and scheme, thus eliminating unnecessary systematic errors for high-precision perturbative Quantum Chromodynamics (pQCD) predictions.…

High Energy Physics - Phenomenology · Physics 2024-12-03 Daniel Salinas-Arizmendi , Claudio Dib , Ivan Schmidt

Under the conventional scale setting, the renormalization scale uncertainty usually constitutes a systematic error for a fixed-order perturbative QCD estimation. The recently suggested principle of maximum conformality (PMC) provides a…

High Energy Physics - Phenomenology · Physics 2013-10-04 Sheng-Quan Wang , Xing-Gang Wu , Xu-Chang Zheng , Jian-Ming Shen , Qiong-Lian Zhang

A key problem in making precise perturbative QCD predictions is to set the proper renormalization scale of the running coupling. The extended renormalization group equations, which express the invariance of physical observables under both…

High Energy Physics - Phenomenology · Physics 2015-03-18 Stanley J. Brodsky , Xing-Gang Wu

A key problem in making precise perturbative QCD predictions is to set the proper renormalization scale of the running coupling. The conventional scale-setting procedure assigns an arbitrary range and an arbitrary systematic error to…

High Energy Physics - Phenomenology · Physics 2013-07-15 Xing-Gang Wu , Stanley J. Brodsky , Matin Mojaza

The Principle of Maximal Conformality (PMC) provides a systematic way to set the renormalization scales order-by-order for any perturbative QCD process. The resulting predictions are independent of the choice of renormalization scheme, a…

High Energy Physics - Phenomenology · Physics 2017-05-17 Jian-Ming Shen , Xing-Gang Wu , Yang Ma , Stanley J. Brodsky

The complete next-to-next-to-next-to-leading order short-distance and bound-state QCD corrections to $\Upsilon(1S)$ leptonic decay rate $\Gamma(\Upsilon(1S)\to \ell^+\ell^-)$ has been finished by Beneke {\it et al.} \cite{Beneke:2014qea}.…

High Energy Physics - Phenomenology · Physics 2015-06-26 Jian-Ming Shen , Xing-Gang Wu , Hong-Hao Ma , Huan-Yu Bi , Sheng-Quan Wang