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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…

High Energy Physics - Phenomenology · Physics 2014-08-29 Sheng-Quan Wang , Xing-Gang Wu , Stanley J. Brodsky

In the paper, we study the properties of the $Z$-boson hadronic decay width by using the $\mathcal{O}(\alpha_s^4)$-order quantum chromodynamics (QCD) corrections with the help of the principle of maximum conformality (PMC). By using the PMC…

High Energy Physics - Phenomenology · Physics 2021-04-13 Xu-Dong Huang , Xing-Gang Wu , Xu-Chang Zheng , Qing Yu , Sheng-Quan Wang , Jian-Ming Shen

Using the newly available $\alpha_s^6$-order QCD correction to the Higgs decay channel $H\to gg$, we make a detailed discussion on the perturbative properties of the decay width $\Gamma(H\to gg)$ by using the principle of maximum…

High Energy Physics - Phenomenology · Physics 2018-07-10 Jun Zeng , Xing-Gang Wu , Shi Bu , Jian-Ming Shen , Sheng-Quan Wang

In the paper, we analyze the $\eta_c$ decays into light hadrons at the next-to-leading order QCD corrections by applying the principle of maximum conformality (PMC). The relativistic correction at the ${\cal{O}}(\alpha_s v^2)$-order level…

High Energy Physics - Phenomenology · Physics 2018-01-30 Bo-Lun Du , Xing-Gang Wu , Jun Zeng , Shi Bu , 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

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 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.…

High Energy Physics - Phenomenology · Physics 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 way to eliminate the conventional renormalization scale ambiguity in a systematic way. By applying the PMC scale setting, all non-conformal terms in perturbative series are summed into…

High Energy Physics - Phenomenology · Physics 2014-04-09 Qiong-Lian Zhang , Xing-Gang Wu , Xu-Chang Zheng , Sheng-Quan Wang , Hai-Bing Fu , Zhen-Yun Fang

The next-to-next-to-leading order (NNLO) pQCD correction to the inclusive decays of the heavy quarkonium $\eta_Q$ ($Q$ being $c$ or $b$) has been done in the literature within the framework of nonrelativistic QCD. One may observe that the…

High Energy Physics - Phenomenology · Physics 2020-05-11 Qing Yu , Xing-Gang Wu , Jun Zeng , Xu-Dong Huang , Huai-Min Yu

In this paper, we analyze the top-quark decay $t\to Wb$ up to next-to-next-to-next-to-leading order (N$^{3}$LO) QCD corrections. For the purpose, we first adopt the principle of maximum conformality (PMC) to deal with the initial pQCD…

High Energy Physics - Phenomenology · Physics 2024-11-22 Jiang Yan , Xing-Gang Wu , Hua Zhou , Hong-Tai Li , Jing-Hao Shan

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…

High Energy Physics - Phenomenology · Physics 2025-04-03 Jiang Yan , Stanley J. Brodsky , Leonardo Di Giustino , Philip G. Ratcliffe , Sheng-Quan Wang , Xing-Gang Wu

The setting of the renormalization scale ($\mu_r$) in the perturbative QCD (pQCD) is one of the crucial problems for achieving precise fixed-order pQCD predictions. The conventional prescription is to take its value as the typical momentum…

High Energy Physics - Phenomenology · Physics 2023-05-05 Sheng-Quan Wang , Stanley J. Brodsky , Xing-Gang Wu , Jian-Ming Shen , Leonardo Di Giustino

In the present paper, we make a detailed analysis for the QCD corrections to the electroweak $\rho$ parameter by applying the principle of maximum conformality (PMC). As a comparison, we show that under the conventional scale setting, we…

High Energy Physics - Phenomenology · Physics 2014-06-04 Sheng-Quan Wang , Xing-Gang Wu , Jian-Ming Shen , Hua-Yong Han , Yang Ma

The Principle of Maximal Conformality (PMC) provides a rigorous method for eliminating renormalization scheme-and-scale ambiguities for perturbative QCD predictions. The PMC uses the renormalization group equation to fix the $\beta$-pattern…

High Energy Physics - Phenomenology · Physics 2017-05-15 Jian-Ming Shen , Xing-Gang Wu , Bo-Lun Du , Stanley J. Brodsky

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

The {\it Principle of Maximum Conformality} (PMC), which generalizes the conventional Gell-Mann-Low method for scale-setting in perturbative QED to non-Abelian QCD, provides a rigorous method for achieving unambiguous scheme-independent,…

High Energy Physics - Phenomenology · Physics 2023-03-21 Xu-Dong Huang , Jiang Yan , Hong-Hao Ma , Leonardo Di Giustino , Jian-Ming Shen , Xing-Gang Wu , Stanley J. Brodsky

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

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 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…

High Energy Physics - Phenomenology · Physics 2015-07-01 Huan-Yu Bi , Xing-Gang Wu , Yang Ma , Hong-Hao Ma , Stanley J. Brodsky , Matin Mojaza

We present improved pQCD predictions for Higgs boson hadroproduction at the Large Hadronic Collider (LHC) by applying the Principle of Maximum Conformality (PMC), a procedure which resums the pQCD series using the renormalization group…

High Energy Physics - Phenomenology · Physics 2016-09-13 Sheng-Quan Wang , Xing-Gang Wu , Stanley J. Brodsky , Matin Mojaza
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