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A combination of algebraical and numerical techniques for calculating two-loop top-quark and Higgs-boson corrections to electroweak precision observables like $\Delta r$ or the $\rho$-parameter is presented. The renormalization is performed…

高能物理 - 唯象学 · 物理学 2011-03-02 S. Bauberger , G. Weiglein

We use the ${\cal O}(\alpha_s^3)$ approximation of the heavy-quark vacuum polarization function in the threshold region to determine the bottom quark mass from nonrelativistic $\Upsilon$ sum rules. We find very good stability and…

高能物理 - 唯象学 · 物理学 2014-05-23 Alexander A. Penin , Nikolai Zerf

We consider top-anti-top production near threshold in $e^+ e^-$ collisions, resumming Coulomb-enhanced corrections at next-to-next-to-leading order (NNLO). We also sum potentially large logarithms of the small top quark velocity at the…

高能物理 - 唯象学 · 物理学 2016-09-06 M. Beneke , A. Signer , V. A. Smirnov

We make use of recent results in effective theory and higher-order perturbative calculations to improve the theoretical predictions of the top-quark pair production cross section at hadron colliders. In particular, we supplement the…

高能物理 - 唯象学 · 物理学 2015-05-28 Valentin Ahrens , Andrea Ferroglia , Matthias Neubert , Ben D. Pecjak , Li Lin Yang

We consider a framework for the construction of iterative schemes for operator equations that combine low-rank approximation in tensor formats and adaptive approximation in a basis. Under fairly general assumptions, we obtain a rigorous…

数值分析 · 数学 2014-03-17 Markus Bachmayr , Wolfgang Dahmen

We provide a systematic renormalization group formalism to study the mass effects in the relation of the pole mass and short-distance masses such as the $\overline{\mathrm{MS}}$ mass of a heavy quark $Q$, coming from virtual loop insertions…

高能物理 - 唯象学 · 物理学 2020-07-03 André H. Hoang , Christopher Lepenik , Moritz Preisser

We extend existing work on reparametrization invariance (RPI) of the heavy-quark expansion. We discuss the total rates of inclusive processes and obtain results which have a manifest RPI and can be expressed through matrix elements of…

高能物理 - 唯象学 · 物理学 2018-08-01 Thomas Mannel , K. Keri Vos

We review recent development on combining heavy-quark symmetry and chiral symmetry in the skyrmion structure of the baryons containing one or more heavy quarks, c (charmed) and b (bottom). We describe two approaches: One going from the…

高能物理 - 唯象学 · 物理学 2010-11-01 Dong-Pil Min , Yongseok Oh , Byung-Yoon Park , Mannque Rho

A precise measurement of the top quark mass, a fundamental parameter of the Standard Model, is among the most important goals of top quark studies at the Large Hadron Collider. Apart from the standard methods, numerous new observables and…

高能物理 - 唯象学 · 物理学 2018-04-04 G. Bevilacqua , H. B. Hartanto , M. Kraus , M. Schulze , M. Worek

We compute three-loop corrections to the relation between the heavy quark masses defined in the pole and kinetic schemes. Using known relations between the pole and $\overline{\rm MS}$ quark masses we can establish precise relations between…

高能物理 - 唯象学 · 物理学 2020-12-01 Matteo Fael , Kay Schönwald , Matthias Steinhauser

I review recent determinations of the (on-shell) charm- and beauty-quark masses in the framework of relativistic and non-relativistic ratios of Laplace transform QCD moment sum rules. The validity of the non-relativistic version of QCD sum…

高能物理 - 唯象学 · 物理学 2007-05-23 C. A. Dominguez

We consider the Heavy Quark Expansion (HQE) for the nonleptonic decay rates of heavy hadrons, and compute the NLO QCD corrections to power terms up to order $1/m_Q^2$. We neglect the masses of the final-state quarks, so the application of…

高能物理 - 唯象学 · 物理学 2023-07-05 Thomas Mannel , Daniel Moreno , Alexei A. Pivovarov

The top quark pair production and decay are considered in the framework of the smeared-mass unstable particles model. The results for total and differential cross sections in vicinity of $t\bar{t}$ threshold are in good agreement with the…

高能物理 - 唯象学 · 物理学 2015-06-03 V. I. Kuksa , R. S. Pasechnik , D. E. Vlasenko

This paper studies finite volume schemes for scalar hyperbolic conservation laws on evolving hypersurfaces of $\mathbb{R}^3$. We compare theoretical schemes assuming knowledge of all geometric quantities to (practical) schemes defined on…

数值分析 · 数学 2014-11-13 Jan Giesselmann , Thomas Müller

Quark masses are of great prominence in high-energy physics. In this paper, we have studied the heavy meson systems via solving the Lippmann-Schwinger equation by using the Martin potential for heavy quark masses. We have also attempted to…

高能物理 - 唯象学 · 物理学 2015-08-04 N. Tazimi , M. Monemzadeh , M. R. Hadizadeh

In a recent work [10], we have introduced a pressure-robust Hybrid High-Order method for the numerical solution of the incompressible Navier-Stokes equations on matching simplicial meshes. Pressure-robust methods are characterized by error…

数值分析 · 数学 2026-01-22 Daniel Castanon Quiroz , Daniele A. Di Pietro

Perturbative calculations for processes that involve heavy flavours can be performed in two approaches: the massive scheme and the massless one. The former enables one to fully account for the heavy-quark kinematics, while the latter allows…

高能物理 - 唯象学 · 物理学 2023-11-27 Andrea Ghira , Simone Marzani , Giovanni Ridolfi

We give improved estimates for the non-perturbative parameters appearing in the heavy quark expansion for inclusive decays. While the parameters appearing in low orders of this expansion can be extracted from data, the number of parameters…

高能物理 - 唯象学 · 物理学 2014-12-16 Johannes Heinonen , Thomas Mannel

Effects associated with hyperfine mass splitting between pseudo\-scalar and vector mesons may induce surprisingly large $1/{m}_{Q}^{2}$ corrections in the heavy quark expansion. We demonstrate this in a relativistic quark model by…

高能物理 - 唯象学 · 物理学 2009-10-22 B. Holdom , M. Sutherland

The use of Heavy Quark Symmetry to study bottom and charmed baryons leads to important simplifications of the non-relativistic three body problem, which turns out to be easily solved by a simple variational ansatz. Our simple scheme…

核理论 · 物理学 2009-09-29 C. Albertus , J. E. Amaro , E. Hernandez , J. Nieves