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The complete analysis of a model with three quartic coupling constants associated with an O(2N)--symmetric, a cubic, and a tetragonal interactions is carried out within the three-loop approximation of the renormalization-group (RG) approach…

凝聚态物理 · 物理学 2009-10-30 Andrei Mudrov , Konstantin Varnashev

Analytic structure in the strong coupling constant that emerges for some observables in QCD after duality averaging of renormalization group improved amplitudes is discussed. It is shown that perturbation theory calculations are justified…

高能物理 - 唯象学 · 物理学 2014-11-17 A. A. Pivovarov

The determination of alpha_s from hadronic tau decays is impeded by the fact that two choices for the renormalisation group resummation, namely fixed-order (FOPT) and contour-improved perturbation theory (CIPT), yield systematically…

高能物理 - 唯象学 · 物理学 2015-05-20 Matthias Jamin

The calculation of perturbative corrections to the spectral moments observable in hadronic $\tau$ decays is reconsidered. The exact order-$\alpha_s^3$ results and the resummation procedure of Le~Diberder and Pich are compared with a partial…

高能物理 - 唯象学 · 物理学 2009-10-28 Matthias Neubert

A systematic method is proposed for analyzing the renormalization scheme uncertainties in the next-next-to-leading order QCD predicitions, based on a condition which eliminates schemes that give rise to large cancellations in the expression…

高能物理 - 唯象学 · 物理学 2007-05-23 Piotr A. Raczka

We consider a new class of perturbation expansions, which incorporate in a systematic way the available information about the divergent character of the perturbation series in QCD. The new expansion functions, which replace the powers of…

高能物理 - 唯象学 · 物理学 2015-03-17 Irinel Caprini , Jan Fischer

The results of two methods to extract the strong coupling constant, $\alpha_s$, are reviewed for the LEP experiments. In the first, scaling violations in the scaled momentum distributions of charged particles at LEP and at lower energy…

高能物理 - 实验 · 物理学 2007-05-23 Philip Reeves

Employing the heavy quark expansion model with the kinetic scheme, we evaluate $\alpha_S(m_c^2)$, the strong coupling constant at the charm quark mass $m_c$ with data on inclusive semileptonic decays of charmed mesons. Using the…

高能物理 - 唯象学 · 物理学 2025-02-24 Jinfei Wu , Xinchou Lou , Yuzhi Che , Gang Li , Yanping Huang , Manqi Ruan , Jingbo Ye

The singular part of Borel transform of a QCD amplitude near the infrared renormalon can be expanded in terms of higher order Wilson coefficients of the operators associated with the renormalon. In this paper we observe that this expansion…

高能物理 - 唯象学 · 物理学 2009-11-07 Gorazd Cvetic , Taekoon Lee

The ALEPH data on hadronic tau-decay is throughly analysed in the framework of QCD. The perturbative calculations are performed in 1-4-loop approximation. The analytical properties of the polarization operators are used in the whole complex…

高能物理 - 唯象学 · 物理学 2009-11-07 B. V. Geshkenbein

We perform an all-orders resummation of the QCD Adler D-function for the vector correlator, in which the portion of perturbative coefficients involving the leading power of b, the first beta-function coefficient, is resummed. To avoid a…

高能物理 - 唯象学 · 物理学 2009-11-07 C. J. Maxwell , A. Mirjalili

In this paper we fix our attention, on hadron structure, and show that also the strong interaction strength alpha_S, ordinarily called the "(perturbative) coupling--constant square}", can be evaluated within our theory, and found to…

综合物理 · 物理学 2011-04-15 Erasmo Recami , Tonin-Zanchin , Antonino Del Popolo , Mario Gambera

In ${\cal N}=1$ supersymmetric QCD-like theories we derive the (all-order) exact equations relating the renormalization group behaviour of the strong and electromagnetic couplings and prove that they are valid in the HD+MSL renormalization…

高能物理 - 理论 · 物理学 2025-03-04 A. L. Kataev , K. V. Stepanyantz

Various moments of the hadronic spectral functions have been employed in the determination of the strong coupling alpha_s from tau decays. In this work we study the behaviour of their perturbative series under different assumptions for the…

高能物理 - 唯象学 · 物理学 2015-06-11 Martin Beneke , Diogo Boito , Matthias Jamin

The perturbative series used to extract $\alpha_s(M_\tau)$ from the $\tau$ hadronic width exhibits slow convergence. Asymptotic Pade-approximant and Pade summation techniques provide an estimate of these unknown higher-order effects,…

高能物理 - 唯象学 · 物理学 2009-08-25 T. G. Steele , V. Elias

We present a determination of the strong coupling constant $\alpha_s(m_Z)$ using inclusive top-quark pair production cross section measurements performed at the LHC and at the Tevatron. Following a procedure first applied by the CMS…

高能物理 - 唯象学 · 物理学 2017-12-06 Thomas Klijnsma , Siegfried Bethke , Günther Dissertori , Gavin P. Salam

The renormalization-scheme and scale dependence of the truncated QCD perturbative expansions is one of the main sources of theoretical error of the standard model predictions, especially at intermediate energies. Recently, a class of…

高能物理 - 唯象学 · 物理学 2018-09-26 Irinel Caprini

We present a novel method for precisely determining the QCD running coupling from $R_{\rm uds}$ measurements in electron-positron annihilation. When calculating the fixed-order perturbative QCD (pQCD) approximant of $R_{\rm uds}$, its…

高能物理 - 唯象学 · 物理学 2023-07-18 Jian-Ming Shen , Bing-Hai Qin , Jiang Yan , Sheng-Quan Wang , Xing-Gang Wu

The difference between fixed-order (FO) and contour-improved (CI) formulations of QCD perturbation theory limits the precision of the strong coupling determined from the hadronic decay of the $\tau$ lepton. Recently, several attempts to…

高能物理 - 唯象学 · 物理学 2023-12-13 Irinel Caprini

Recently, we extracted the strong coupling, $\alpha_s(m_\tau^2)$, from the revised ALEPH data for non-strange hadronic tau decays. Our analysis is based on a method previously used for the determination of the strong coupling from OPAL…

高能物理 - 唯象学 · 物理学 2016-08-03 Diogo Boito , Maarten Golterman , Kim Maltman , Santiago Peris