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In this paper, we carry out the next-to-leading-order (NLO) studies on $Z \to \Upsilon(1S)+g+g$ via the color-singlet (CS) $b\bar{b}$ state. We find the newly calculated NLO QCD corrections to this process can significantly influence its…

High Energy Physics - Phenomenology · Physics 2020-04-10 Zhan Sun

The renormalization scale uncertainty can be eliminated by the Principle of Maximum Conformality (PMC) in a systematic scheme-independent way. Applying the PMC for the $t\bar{t}$-pair hadroproduction at the NNLO level, we have found that…

High Energy Physics - Phenomenology · Physics 2012-06-25 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 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 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 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 determine the decay rate to leptons of the ground-state $\Upsilon$ meson and its first radial excitation in lattice QCD for the first time. We use radiatively-improved NRQCD for the $b$ quarks and include $u$, $d$, $s$ and $c$ quarks in…

High Energy Physics - Lattice · Physics 2015-04-29 B. Colquhoun , R. J. Dowdall , C. T. H. Davies , K. Hornbostel , G. P. Lepage

The precision and predictive power of perturbative QCD (pQCD) prediction depends on both a precise, convergent fixed-order series and a reliable way of estimating the contributions of unknown higher-order (UHO) terms. It has been shown that…

High Energy Physics - Phenomenology · Physics 2024-02-29 Yu-Feng Luo , Jiang Yan , Zhi-Fei Wu , 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

We calculate the inclusive decay width of $\Upsilon \to l^+ l^-$. Then we get the ratio $R_{\tau\mu}=\Gamma[\Upsilon \to \tau^+\tau^-]/ \Gamma[\Upsilon \to \mu^+\mu^-]$ to ${\cal{O}}(\alpha)$ and ${\cal{O}}(\alpha_s^2)$ within the Standard…

High Energy Physics - Phenomenology · Physics 2010-04-14 Yu-Jie Zhang , Hua-Sheng Shao

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

We determine the leading-order nonrelativistic quantum chromodynamics (NRQCD) matrix element < O_1 >_Upsilon and the ratio < q^2>_Upsilon, for Upsilon=Upsilon(nS) with n=1, 2, and 3 by comparing the measured values for Gamma[Upsilon -> e^+…

High Energy Physics - Phenomenology · Physics 2011-02-16 Hee Sok Chung , Jungil Lee , Chaehyun Yu

We investigate the renormalization-group scale and scheme dependence of the $H \rightarrow gg$ decay rate at the order N$^4$LO in the renormalization-group summed perturbative theory, which employs the summation of all renormalization-group…

High Energy Physics - Phenomenology · Physics 2024-02-05 Gauhar Abbas , Astha Jain , Vartika Singh , Neelam Singh

In the absence of a tree-level scalar-field mass, renormalization-group (RG) methods permit the explicit summation of leading-logarithm contributions to all orders of the perturbative series for the effective-potential functions utilized in…

High Energy Physics - Phenomenology · Physics 2015-06-25 V. Elias , R. B. Mann , D. G. C. McKeon , T. G. Steele

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

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

A major contribution to the uncertainty of finite-order perturbative QCD predictions is the perceived ambiguity in setting the renormalization scale $\mu_r$. For example, by using the conventional way of setting $\mu_r \in [m_t/2,2m_t]$,…

High Energy Physics - Phenomenology · Physics 2013-05-22 Stanley J. Brodsky , Xing-Gang Wu

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

In this work, we study the exclusive decay of $\Upsilon$ into $J/\psi$ in association with $\eta_c$ ($\chi_{c0,1,2}$). The decay widths for different helicity configurations are evaluated up to QCD next-to-leading order within the…

High Energy Physics - Phenomenology · Physics 2022-09-21 Yu-Dong Zhang , Wen-Long Sang , Hong-Fei Zhang

Using data taken with the CLEO II detector at the Cornell Electron Storage Ring, we have determined the ratio of branching fractions: $R_{\gamma} \equiv \Gamma(\Upsilon(1S) \rightarrow \gamma gg)/\Gamma(\Upsilon(1S) \rightarrow ggg) = (2.75…

High Energy Physics - Experiment · Physics 2010-04-08 CLEO Collaboration , B. Nemati et al

We address the long-standing problem of negative decay and production rates in perturbative QCD for exclusive processes by proposing amplitude-level NRQCD factorization as a systematic prescription. Building on this, we present the first…

High Energy Physics - Phenomenology · Physics 2026-04-09 Chao Zeng , Bin Gong , Jian-Xiong Wang , Ruichang Niu , Xu-Dong Huang , Cong Li