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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

We present a novel method for precisely determining the running QCD coupling constant $\alpha_s(Q^2)$ over a wide range of $Q^2$ from event shapes for electron-positron annihilation measured at a single annihilation energy $\sqrt{s}$. The…

High Energy Physics - Phenomenology · Physics 2019-11-20 Sheng-Quan Wang , Stanley J. Brodsky , Xing-Gang Wu , Jian-Ming Shen , Leonardo Di Giustino

We present in detail a new systematic method which can be used to automatically eliminate the renormalization scheme and scale ambiguities in perturbative QCD predictions at all orders. We show that all of the nonconformal \beta-dependent…

High Energy Physics - Phenomenology · Physics 2014-04-11 Stanley J. Brodsky , Matin Mojaza , Xing-Gang Wu

In this paper, we present an improved analysis of the top-quark pair production via the process $e^{+}e^{-}\to \gamma^{*}\to t\bar{t}$ near the threshold region up to next-to-next-to-next-to-leading order (N$^3$LO) QCD corrections. Near the…

High Energy Physics - Phenomenology · Physics 2024-04-25 Jiang Yan , Xing-Gang Wu , Zhi-Fei Wu , Jing-Hao Shan , Hua Zhou

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…

High Energy Physics - Phenomenology · Physics 2016-01-08 Sheng-Quan Wang , Xing-Gang Wu , Zong-Guo Si , Stanley J. Brodsky

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…

High Energy Physics - Phenomenology · Physics 2021-11-29 Sheng-Quan Wang , Xing-Gang Wu , Jian-Ming Shen , Stanley J. Brodsky

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

The energy-energy correlation (EEC) in electron-positron annihilation plays a crucial role in precision tests of quantum chromodynamics (QCD) and measurements of the QCD coupling constant. In this paper, we provide a novel analysis for the…

High Energy Physics - Phenomenology · Physics 2026-04-14 Zhu-Yu Ren , Sheng-Quan Wang , Jian-Ming Shen , Xing-Gang Wu , Leonardo Di Giustino , Philip G. Ratcliffe , Stanley J. Brodsky

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

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

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

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

The conventional approach to fixed-order perturbative QCD predictions is based on an arbitrary choice of the renormalization scale, together with an arbitrary range. This {\it ad hoc} assignment of the renormalization scale causes the…

High Energy Physics - Phenomenology · Physics 2019-12-19 Xing-Gang Wu , Jian-Ming Shen , Bo-Lun Du , Xu-Dong Huang , Sheng-Quan Wang , Stanley J. Brodsky

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 issue in making precise predictions in perturbative QCD is the uncertainty in setting the renormalization scale. If in principle, the entire perturbative series is void of this issue, in practice the perturbative corrections are known…

High Energy Physics - Phenomenology · Physics 2022-05-10 Leonardo Di Giustino

We identify a property of renormalizable SU(N)/U(1) gauge theories, the intrinsic Conformality ($iCF$), which underlies the scale invariance of physical observables and leads to a remarkably efficient method to solve the conventional…

High Energy Physics - Phenomenology · Physics 2020-07-15 Leonardo Di Giustino , Stanley J. Brodsky , Sheng-Quan Wang , 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

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

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

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