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We provide a systematic renormalization group formalism for the mass effects in the relation of the pole mass $m_Q^{\rm pole}$ and short-distance masses such as the $\overline{\rm MS}$ mass $\overline{m}_Q$ of a heavy quark $Q$, coming from…

高能物理 - 唯象学 · 物理学 2017-10-25 Andre H. Hoang , Christopher Lepenik , Moritz Preisser

The relation between the pole quark mass and the $\overline{MS}$-renormalized mass is governed by an infrared renormalon singularity, which leads to an ambiguity of order $\Lambda_{QCD}$ in the definition of the pole mass. We use the…

高能物理 - 唯象学 · 物理学 2009-10-28 M. Beneke

We combine the known asymptotic behaviour of the QCD perturbation series expansion, which relates the pole mass of a heavy quark to the MSbar mass, with the exact series coefficients up to the four-loop order to determine the ultimate…

高能物理 - 唯象学 · 物理学 2017-11-22 M. Beneke , P. Marquard , P. Nason , M. Steinhauser

In this paper various theoretical approaches are used to define the dependence of the estimated $\mathcal{O}(\alpha^5_s)$ and $\mathcal{O}(\alpha^6_s)$-corrections to the QCD relation between pole and $\rm{\overline{MS}}$ running masses of…

高能物理 - 唯象学 · 物理学 2019-01-30 A. L. Kataev , V. S. Molokoedov

Mesons containing light and heavy quarks are studied. Interaction of quarks is described by the funnel-type potential with the distant dependent strong coupling, $\alpha_\S(r)$. Free particle hypothesis for the bound state is developed:…

高能物理 - 唯象学 · 物理学 2019-09-25 Mikhail N. Sergeenko

Perturbative series of some quantities in quantum field theories, such as the pole mass of a quark, suffer from a kind of divergence called renormalon divergence. In this paper, the leading renormalon in the pole mass is investigated, and a…

高能物理 - 唯象学 · 物理学 2017-10-03 Javad Komijani

I review the structure of the leading infrared renormalon divergence of the relation between the pole mass and the $\overline{\rm MS}$ mass of a heavy quark, with applications to the top, bottom and charm quark. That the pole quark mass…

高能物理 - 唯象学 · 物理学 2022-10-18 Martin Beneke

We perform a finite group analysis on the quark mass matrices. We argue that the dominant terms should be proportional to class operators of the group and that symmetry breaking to split the mass spectrum and simultaneous diagonalizability…

高能物理 - 唯象学 · 物理学 2007-05-23 York-Peng Yao

We study the effect of resumming large logarithms in the determination of the bottom quark mass through a non-relativistic sum rule analysis. Our result is complete at next-to-leading-logarithmic accuracy and includes some known…

高能物理 - 唯象学 · 物理学 2008-11-26 Antonio Pineda , Adrian Signer

We compute the three-loop relation between the pole and the minimally subtracted quark mass allowing for virtual effects from a second massive quark. We also consider the analogue effects for the on-shell wave function renormalization…

高能物理 - 唯象学 · 物理学 2008-11-26 S. Bekavac , A. Grozin , D. Seidel , M. Steinhauser

The heavy quark pole mass in perturbation theory suffers from a renormalon caused, inherent uncertainty of $O(\Lambda_{\rm QCD})$. This fundamental difficulty of determining the pole mass to an accuracy better than the inherent uncertainty…

高能物理 - 唯象学 · 物理学 2009-11-10 Taekoon Lee

We present a determination of the charm- and bottom-quark masses using the heavy-quark step-scaling strategy. Renormalization is performed in small volumes where relativistic bottom quarks can be simulated directly. A sequence of…

In this talk \footnote{Presented at ICHEP'98, Vancouver, CA, July 1998}, we present a recently suggested way on how to analytically incorporate massive threshold effects into observables calculated in massless QCD. No matching is required…

高能物理 - 唯象学 · 物理学 2007-05-23 Michael Melles

The study of heavy-light meson masses should provide a way to determine renormalized quark masses and other properties of heavy-light mesons. In the context of lattice QCD, for example, it is possible to calculate hadronic quantities for…

高能物理 - 唯象学 · 物理学 2018-02-14 N. Brambilla , J. Komijani , A. S. Kronfeld , A. Vairo

We introduce a new symmetry-preserving framework for the physics of heavy-light mesons, whose key element is the effective incorporation of flavour-dependent contributions into the corresponding bound-state and quark gap equations. These…

高能物理 - 唯象学 · 物理学 2025-10-14 Fei Gao , Angel S. Miramontes , Joannis Papavassiliou , Jan M. Pawlowski

We present results for light quark masses from a systematic lattice QCD study with two degenerate flavors of dynamical quarks. Simulations are made with a renormalization-group improved gauge action and a mean-field improved clover quark…

We present a determination of the charm quark mass in lattice QCD with three active quark flavours. The calculation is based on PCAC masses extracted from $N_\mathrm{f}=2+1$ flavour gauge field ensembles at five different lattice spacings…

高能物理 - 格点 · 物理学 2021-06-07 Jochen Heitger , Fabian Joswig , Simon Kuberski

We have calculated the first and second order corrections to several deep inelastic sum rules which are due to heavy flavour contributions. A comparison is made with the existing perturbation series which has been computed up to third order…

高能物理 - 唯象学 · 物理学 2011-01-25 J. Bluemlein , W. L. van Neerven

The matching relations in the unpolarized and polarized variable flavor number scheme at three-loop order are presented in the single-mass case. They describe the process of massive quarks becoming light at large virtualities $Q^2$. In this…

高能物理 - 唯象学 · 物理学 2025-10-03 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. von Manteuffel , C. Schneider , K. Schönwald

Combining recent perturbative analyses on the static QCD potential and the quark pole mass, we find that, for the heavy quarkonium states $c\bar{c}$, $b\bar{b}$ and $t\bar{t}$, (1) ultra-soft (US) corrections in the binding energies are…

高能物理 - 唯象学 · 物理学 2015-11-20 Y. Kiyo , G. Mishima , Y. Sumino
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