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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

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…

High Energy Physics - Phenomenology · Physics 2023-02-08 Rui-Qing Meng , Sheng-Quan Wang , Ting Sun , Chao-Qin Luo , Jian-Ming Shen , Xing-Gang Wu

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

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

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 next-to-next-to-leading-order (NNLO) pQCD predictions for both the decay width and the transition form factor in the $\eta_c\rightarrow \gamma\gamma$ process, based on nonrelativistic QCD (NRQCD), deviate from precise experimental…

High Energy Physics - Phenomenology · Physics 2025-06-04 Sheng-Quan Wang , Zhu-Yu Ren , Jian-Ming Shen , Xing-Gang Wu , Leonardo Di Giustino , Stanley J. Brodsky

In addition to the evaluation of high-order loop contributions, the precision and predictive power of perturbative QCD (pQCD) predictions depends on two important issues: (1) how to achieve a reliable, convergent fixed-order series, and (2)…

High Energy Physics - Phenomenology · Physics 2023-05-01 Jian-Ming Shen , Zhi-Jian Zhou , Sheng-Quan Wang , Jiang Yan , Zhi-Fei Wu , Xing-Gang Wu , Stanley J. Brodsky

Heavy fermion pair production in $e^+e^-$ annihilation is a fundamental process in hadron physics and is of considerable interest for various phenomena. In this paper, we will apply the Principle of Maximum Conformality (PMC) to provide a…

High Energy Physics - Phenomenology · Physics 2020-07-15 Sheng-Quan Wang , Stanley J. Brodsky , Xing-Gang Wu , Leonardo Di Giustino , Jian-Ming Shen

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

In the paper, we present QCD predictions for $\eta_{c} + \gamma$ production at an electron-position collider up to next-to-next-to-leading order (NNLO) accuracy without renormalization scale ambiguities. The NNLO total cross-section for…

High Energy Physics - Phenomenology · Physics 2021-02-24 Huai-Min Yu , Wen-Long Sang , Xu-Dong Huang , Jun Zeng , Xing-Gang Wu , Stanley J. Brodsky

A key problem in making precise perturbative QCD (pQCD) predictions is how to set the renormalization scale of the running coupling unambiguously at each finite order. The elimination of the uncertainty in setting the renormalization scale…

High Energy Physics - Phenomenology · Physics 2015-06-03 Hong-Hao Ma , Xing-Gang Wu , Yang Ma , Stanley J. Brodsky , Matin Mojaza

Theoretical calculations for event shape observables are often determined by using the conventional scale setting; i.e. the procedure defined by setting the renormalization scale to the center-of-mass energy $\mu_r=\sqrt{s}$ and evaluating…

High Energy Physics - Phenomenology · Physics 2025-08-04 Zhu-Yu Ren , Sheng-Quan Wang , Jian-Ming Shen , Xing-Gang Wu , Leonardo Di Giustino

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…

High Energy Physics - Phenomenology · Physics 2022-10-19 Sheng-Quan Wang , Chao-Qin Luo , Xing-Gang Wu , Jian-Ming Shen , Leonardo Di Giustino

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 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) 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

We introduce a generalization of the conventional renormalization schemes used in dimensional regularization, which illuminates the renormalization scheme and scale ambiguities of pQCD predictions, exposes the general pattern of…

High Energy Physics - Phenomenology · Physics 2013-06-20 Matin Mojaza , Stanley J. Brodsky , Xing-Gang Wu

The next-to-next-to-leading order (NNLO) pQCD prediction for the $\gamma\gamma^* \to \eta_c$ form factor was evaluated in 2015 using nonrelativistic QCD (NRQCD). A strong discrepancy between the NRQCD prediction and the BaBar measurements…

High Energy Physics - Phenomenology · Physics 2018-06-01 Sheng-Quan Wang , Xing-Gang Wu , Wen-Long Sang , Stanley J. Brodsky

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

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…

High Energy Physics - Phenomenology · Physics 2024-02-06 Jin Ma , Sheng-Quan Wang , Ting Sun , Jian-Ming Shen , Xing-Gang Wu