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The QCD corrections to the R_{\tau}^{12} moment of the invariant mass distribution in hadronic decays of the tau lepton are discussed. The next-to-next-to-leading order prediction is shown to be stable with respect to change of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Piotr A. Raczka

We extend approximate next-to-next-to-leading order results for top-pair production to include the semi-leptonic decays of top quarks in the narrow-width approximation. The new hard-scattering kernels are implemented in a fully differential…

High Energy Physics - Phenomenology · Physics 2015-06-22 A. Broggio , A. S. Papanastasiou , A. Signer

Employing the heavy quark pole mass and static potential that were obtained from resummation of the renormalon-caused large order behavior to all orders, and matching the resummed static potential to the long distance Cornell potential we…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. S. Kim , Taekoon Lee , Guo-Li Wang

For any perturbative series that is known to $k$-subleading orders of perturbation theory, we utilise the process-appropriate renormalization-group (RG) equation in order to obtain all-orders summation of series terms proportional to…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. R. Ahmady , F. A. Chishtie , V. Elias , A. H. Fariborz , N. Fattahi , D. G. C. McKeon , T. N. Sherry , T. G. Steele

In this paper, we calculate the decay widths and branching fractions for the decays $Z \to J/\psi+\Upsilon(nS)$ ($n=1,2,3$) at future super $Z$ factory and at the CEPC/FCC-ee, including both the relativistic and QCD corrections within the…

High Energy Physics - Phenomenology · Physics 2026-04-22 Guang-Yu Wang , Xu-Chang Zheng , Guang-Zhi Xu

The standard analytic solution of the renormalization group (RG) evolution for the $\Delta S = 1$ Wilson coefficients involves several singularities, which complicate analytic solutions. In this paper we derive a singularity-free solution…

High Energy Physics - Phenomenology · Physics 2016-12-21 Teppei Kitahara , Ulrich Nierste , Paul Tremper

With the recent completion of NNNLO results, the perturbative description of the $\Upsilon$ system has reached a very high level of sophistication. We consider the non-perturbative corrections as an expansion in terms of local condensates,…

High Energy Physics - Phenomenology · Physics 2018-07-04 T. Rauh

We present the first full analytic results of next-to-next-to-leading order (NNLO) QCD corrections to the top-quark decay width $\Gamma(t\to Wb)$ by calculating the imaginary part of three-loop top-quark self-energy diagrams. The results…

High Energy Physics - Phenomenology · Physics 2023-09-08 Long-Bin Chen , Hai Tao Li , Jian Wang , Yefan Wang

We extend previous next-to-next-to leading order (NNLO) calculations of the QCD pressure at zero temperature and non-zero baryonic densities using the renormalization group optimized perturbation theory (RGOPT), which entails an all-order…

High Energy Physics - Phenomenology · Physics 2025-06-30 Loïc Fernandez , Jean-Loïc Kneur

The perturbative QCD corrections to the semileptonic decay width of the tau lepton are evaluated in the next-next-to-leading order from the contour integral representation in various renormalization schemes, using numerical solution of the…

High Energy Physics - Phenomenology · Physics 2008-02-03 Piotr A. Raczka , Andrzej Szymacha

The quark contribution to the QCD pressure, $P_q$, is evaluated up to next-to-leading order (NLO) within the renormalization group optimized perturbation theory (RGOPT) resummation approach. To evaluate the complete QCD pressure we simply…

High Energy Physics - Phenomenology · Physics 2021-09-01 Jean-Loïc Kneur , Marcus Benghi Pinto , Tulio E. Restrepo

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

We have calculated the next-to-leading order perturbative QCD corrections to the photon energy spectrum in radiative Upsilon decays. The higher-order corrections significantly modify the shape of the spectrum, in particular at large photon…

High Energy Physics - Phenomenology · Physics 2009-04-13 Michael Krämer

In this study we present the first theoretical calculation of the form factor of the $\chi_{c0}(1P) \rar J/\psi \gamma $ and $\chi_{b0}(1P) \rightarrow \Upsilon(1S) \gamma $ decays in the frame work of QCD sum rules. We also find branching…

High Energy Physics - Phenomenology · Physics 2013-05-29 v. Bashiry

I compute a renormalization group (RG) improvement to the standard beyond-linear-order Eulerian perturbation theory (PT) calculation of the power spectrum of large-scale density fluctuations in the Universe. At z=0, for a power spectrum…

Astrophysics · Physics 2008-11-26 Patrick McDonald

We propose a renormalon-inspired resummation of QCD perturbation theory based on approximating the renormalization scheme (RS) invariant effective charge beta-function coefficients by the portion containing the highest power of…

High Energy Physics - Phenomenology · Physics 2009-10-28 C. J. Maxwell , D. G. Tonge

QCD running coupling constant $\alpha_s(m_c)$ and $\alpha_s(m_b)$ are determined from heavy quarkonia $c\overline{c}$ and $b\overline{b}$ decays. The decay rates of $V\rightarrow 3g$ and $V\rightarrow e^+ e^-$ for $V=J/\psi$ and $\Upsilon$…

High Energy Physics - Phenomenology · Physics 2011-01-27 K. T. Chao , H. W. Huang , Y. Q. Liu

With the potential prospects of the ${\Upsilon}(1S)$ data samples at the running LHC and upcoming SuperKEKB, the ${\Upsilon}(1S)$ ${\to}$ $B_{c}{\rho}$ weak decays are studied with the pQCD approach. It is found that (1) the lion's share of…

High Energy Physics - Phenomenology · Physics 2016-07-26 Junfeng Sun , Yueling Yang , Qingxia Li , Gongru Lu , Jinshu Huang , Qin Chang

It is generally believed that the QCD theory is the fundamental theory for strong interactions. Due to the asymptotic freedom at the short distances, after proper factorization, one can predict the value of high-energy physical observable…

High Energy Physics - Phenomenology · Physics 2026-04-13 Zhi-Fei Wu , Xing-Gang Wu , Jiang Yan , Xu-Dong Huang , Jian-Ming Shen

In this paper, we study the $J/\psi(\Upsilon)$ production in Z boson decay in color-singlet model(CSM). We calculate the next-to-leading-order (NLO) QCD correction to $Z \to Quarkonium+Q\bar{Q}$, the dominant contribution in the CSM, with…

High Energy Physics - Phenomenology · Physics 2014-11-21 Rong Li , Jian-Xiong Wang
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