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The talk presents an update of the bottom quark mass determination from QCD moment sum rules for the Upsilon system by the authors. Employing the MS_bar scheme, we find m_b(m_b) = 4.19 +- 0.06 GeV. The differences to our previous analysis…

高能物理 - 唯象学 · 物理学 2011-01-25 M. Jamin , A. Pich

The running of the top quark mass ($m_\mathrm{t}$) is probed at the next-to-next-to-leading order in quantum chromodynamics for the first time. The result is obtained by comparing calculations in the modified minimal subtraction…

高能物理 - 唯象学 · 物理学 2025-07-15 Matteo M. Defranchis , Jan Kieseler , Katerina Lipka , Javier Mazzitelli

Along the years, the Cornell Model has been extraordinarily successful in describing hadronic phenomenology, in particular in physical situations for which an effective theory of the strong interactions such as NRQCD cannot be applied. As a…

高能物理 - 唯象学 · 物理学 2019-04-26 Vicent Mateu , Pablo G. Ortega , David R. Entem , Francisco Fernandez

The relation between the on-shell quark mass and the mass defined in the modified minimal subtraction scheme is computed up to order \alpha_s^3. Implications for the numerical values of the top and bottom quark masses are discussed. We show…

高能物理 - 唯象学 · 物理学 2010-04-06 K. G. Chetyrkin , M. Steinhauser

As one of the key components of perturbative QCD theory, it is helpful to find a systematic and reliable way to set the renormalization scale for a high-energy process. The conventional treatment is to take a typical momentum as the…

高能物理 - 唯象学 · 物理学 2015-03-18 Yang Ma , Xing-Gang Wu , Hong-Hao Ma , Hua-Yong Han

The key quantity of the heavy quark theory is the quark mass $m_Q$. Since quarks are unobservable one can suggest different definitions of $m_Q$. One of the most popular choices is the pole quark mass routinely used in perturbative…

高能物理 - 唯象学 · 物理学 2010-11-01 I. I. Bigi , M. A. Shifman , N. G. Uraltsev , A. I. Vainshtein

We present a study of a combination of HQET and relativistic QCD to extract the b-quark mass and the Bs-meson decay constant from lattice quenched simulations. We start from a small volume, where one can directly simulate the b-quark, and…

高能物理 - 格点 · 物理学 2008-01-02 Damiano Guazzini

The determination of quark masses from lattice QCD simulations requires a non-perturbative renormalization procedure and subsequent scale evolution to high energies, where a conversion to the commonly used MS-bar scheme can be safely…

高能物理 - 格点 · 物理学 2018-06-07 Isabel Campos , Patrick Fritzsch , Carlos Pena , David Preti , Alberto Ramos , Anastassios Vladikas

We use the BLM method to show that perturbatively-calculable observables in QCD can be related to each other without renormalization scale or scheme ambiguity. We define and study the commensurate scale relations. We show that the…

高能物理 - 唯象学 · 物理学 2009-09-25 Stanley J. Brodsky , Hung Jung Lu

Mass formulae for light meson multiplets derived by means of exotic commutator technique are written for complex masses and considered as complex mass sum rules (CMSR). The real parts of the (CMSR) give the well known mass formulae for real…

高能物理 - 唯象学 · 物理学 2011-09-13 Michal Majewski

We determine the strange quark mass ($m_s$) and quark mixing element $\vert V_{us}\vert $, and their joint determination from the Cabibbo suppressed hadronic $\tau$ decays in various perturbative schemes. Compared to the previous analysis…

高能物理 - 唯象学 · 物理学 2023-09-19 B. Ananthanarayan , Diganta Das , M. S. A. Alam Khan

We have extended the multilevel summation (MLS) method, originally developed to evaluate long-range Coulombic interactions in molecular dynamics (MD) simulations [Skeel et al., J. Comput. Chem., 23, 673 (2002)], to handle dispersion…

材料科学 · 物理学 2014-01-16 Daniel Tameling , Paul Springer , Paolo Bientinesi , Ahmed E. Ismail

The traditional approach to analyzing mean motion resonances is through canonical perturbation theory. While this is a powerful method, its generality leads to complicated combinations of variables that are challenging to interpret and…

地球与行星天体物理 · 物理学 2025-03-27 Daniel Tamayo , Samuel Hadden

The QCD corrections to electroweak parameters depend on the renormalization scheme and scales used to define the top-quark mass. We analyze these dependences for the W-boson mass predicted via Delta r to O(alpha alpha_s) and O(alpha…

高能物理 - 唯象学 · 物理学 2015-06-25 B. A. Kniehl

We study a simplified model of top production and decay, consisting in a virtual vector boson $W^*$ decaying into a massive-massless $t$-$\bar{b}$ quark-antiquark pair. The top has a finite width and further decays into a stable vector…

高能物理 - 唯象学 · 物理学 2018-10-26 Silvia Ferrario Ravasio , Paolo Nason , Carlo Oleari

The non-perturbative nature of QCD at hadronic scales implied the development of phenomenological approaches such as quark models or, more recently, computer-based calculations using Lattice QCD. However, the unique properties of heavy…

高能物理 - 唯象学 · 物理学 2017-11-29 Pablo G. Ortega , Vicent Mateu

We discuss the gauge dependence of fermion mass definition and physical result under the conventional on-shell mass renormalization scheme and the recently proposed pole mass renormalization scheme in standard model. By the two-loop…

高能物理 - 唯象学 · 物理学 2007-05-23 Yong Zhou

A method is described to probe high-scale physics in lower-energy experiments by employing sum rules in terms of renormalisation group invariants. The method is worked out in detail for the study of supersymmetry-breaking mechanisms in the…

高能物理 - 唯象学 · 物理学 2012-11-06 Jamil Hetzel , Wim Beenakker

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…

高能物理 - 唯象学 · 物理学 2013-07-15 Xing-Gang Wu , Stanley J. Brodsky , Matin Mojaza

In this paper, we reanalyze the $I=0$ scalar channel with the improved Monte-Carlo based QCD sum rules, which combines the rigorous H\"older-inequality-determined sum rule window and a two Breit-Wigner type resonances parametrization for…

高能物理 - 唯象学 · 物理学 2017-08-09 Jia-Min Yuan , Zhu-Feng Zhang , T. G. Steele , Hong-Ying Jin , Zhuo-Ran Huang