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For a few observables in O(a) improved lattice QCD, we compute discretization effects arising from the vacuum polarization of a heavy quark at one-loop order. In particular, the force between static quarks, the running coupling in the…

高能物理 - 格点 · 物理学 2015-05-30 Andreas Athenodorou , Rainer Sommer

The mass of the bottom quark and the strong coupling constant alpha_s are determined from QCD moment sum rules for the Upsilon system. Two analyses are performed using both the pole mass M_b as well as the mass m_b in the $\MSb$ scheme. In…

高能物理 - 唯象学 · 物理学 2008-11-26 Matthias Jamin , Antonio Pich

This talk summarizes results for all the scale independent renormalization constants for bilinear currents ($Z_A$, $Z_V$, and $Z_S/Z_P$), the improvement constants ($c_A$, $c_V$, and $c_T$), the quark mass dependence of $Z_O$, and the…

高能物理 - 格点 · 物理学 2010-05-27 Tanmoy Bhattacharya , Rajan Gupta , Weonjong Lee , Stephen Sharpe

In this work the charm and bottom quark masses are determined from QCD moment sum rules for the charmonium and upsilon systems. In our analysis we include both the results from non-relativistic QCD and perturbation theory at…

高能物理 - 唯象学 · 物理学 2011-01-25 Markus Eidemuller

The renormalization group is extended to cases where several heavy particles are decoupled at the same time. This involves large logarithms which are scale-invariant and so cannot be eliminated by a change of renormalization scheme. A set…

高能物理 - 唯象学 · 物理学 2010-03-26 R. J. Crewther , S. D. Bass , F. M. Steffens , A. W. Thomas

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…

高能物理 - 唯象学 · 物理学 2007-05-23 C. S. Kim , Taekoon Lee , Guo-Li Wang

We investigate two complementary field-theoretical models describing the flat phase of polymerized - phantom - membranes by means of a two-loop, weak-coupling, perturbative approach performed near the upper critical dimension $D_{uc}=4$,…

统计力学 · 物理学 2020-06-18 O. Coquand , D. Mouhanna , S. Teber

We discuss the renormalization and factorization scale dependence of charm and bottom production both at fixed-target energies and at present and future colliders. We investigate whether distributions calculable at leading order can be…

高能物理 - 唯象学 · 物理学 2011-01-25 R. Vogt

The QCD/HQET matching coefficient for the heavy-quark field is calculated up to four loops. It must be finite; this requirement produces analytical results for some terms in the four-loop on-shell heavy-quark field renormalization constant…

高能物理 - 唯象学 · 物理学 2020-09-16 Andrey G. Grozin , Peter Marquard , Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser

We consider a version of dimensional regularization (reduction) in which the dimensionful regularization parameter $\Lambda$ is in general different from the renormalization scale $\mu$. Then in the scheme analogous to the minimal…

高能物理 - 理论 · 物理学 2023-11-23 Nikolai Meshcheriakov , Victoria Shatalova , Konstantin Stepanyantz

We discuss the effect of wave function renormalization (WFR) in asymptotically safe gravity. We show that there are two WFR-invariant quantities, and the renormalization (RG) equations may be written entirely in terms of these quantities.…

高能物理 - 理论 · 物理学 2025-02-04 Hikaru Kawai , Nobuyoshi Ohta

The effects of small relativistic corrections to the off-resonant polarizability, hyperpolarizability, and second hyperpolarizability are investigated. Corrections to linear and nonlinear optical coefficients are demonstrated in the…

量子物理 · 物理学 2015-06-22 Nathan J. Dawson

We present the first numerical implementation of the massive SMOM (mSMOM) renormalization scheme and use it to calculate the charm quark mass. Based on ensembles with three flavours of dynamical domain wall fermions with lattice spacings in…

高能物理 - 格点 · 物理学 2024-07-29 Luigi Del Debbio , Felix Erben , Jonathan M. Flynn , Rajnandini Mukherjee , J. Tobias Tsang

Results of our recent re-analysis of the electroweak contribution to the relation between pole and running masses of top-quark within the Standard Model is reviewed. We argue, that if vacuum of SM is stable, then there exists an optimal…

高能物理 - 唯象学 · 物理学 2013-10-01 Fred Jegerlehner , Mikhail Yu. Kalmykov , Bernd A. Kniehl

We give the hyperasymptotic expansion of the energy of a static quark-antiquark pair with a precision that includes the effects of the subleading renormalon. The terminants associated to the first and second renormalon are incorporated in…

高能物理 - 唯象学 · 物理学 2020-09-01 Cesar Ayala , Xabier Lobregat , Antonio Pineda

We estimate the effects on the decay constants of charmonium and on heavy meson masses due to the charm quark in the sea. Our goal is to understand whether for these quantities $N_f=2+1$ lattice QCD simulations provide results that can be…

高能物理 - 格点 · 物理学 2021-11-03 Salvatore Cali , Kevin Eckert , Jochen Heitger , Francesco Knechtli , Tomasz Korzec

We address the nonperturbative effects associated with soft charm quarks in inclusive B decays. Such corrections are allowed by the OPE, but have largely escaped attention so far. The related four-quark `double heavy' expectation values of…

高能物理 - 唯象学 · 物理学 2008-11-26 I. I. Bigi , N. Uraltsev , R. Zwicky

Numerical Stochastic Perturbation Theory was able to get three- (and even four-) loop results for finite Lattice QCD renormalization constants. More recently, a conceptual and technical framework has been devised to tame finite size…

高能物理 - 格点 · 物理学 2015-06-17 Michele Brambilla , Francesco Di Renzo

We investigate the restoration of chiral symmetry at finite temperature in the SU(2) quark meson model where the mean field approximation is compared to the renormalized version for quarks and mesons. In a combined approach at finite…

高能物理 - 唯象学 · 物理学 2018-04-18 Andreas Zacchi , Jürgen Schaffner-Bielich

We show that the Borel resummed perturbative static potential at N_f=0 converges well, and is in a remarkable agreement with the quenched lattice calculation at distances 1/r > 660 MeV. This shows that Borel resummation is very good at…

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