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We consider correlation functions containing the axial current of one light and one heavy quark in the static approximation as well as in full QCD, using the lattice regularization. Up to one-loop order of perturbation theory, we study the…

高能物理 - 格点 · 物理学 2016-09-01 ALPHA Collaboration , Martin Kurth , Rainer Sommer

A correlator of the vector current of a heavy quark is computed analytically near threshold in the next-to-next-to-leading order in perturbative and relativistic expansion that includes $\al_s^2$, $\al_sv$ and $v^2$ corrections in the…

高能物理 - 唯象学 · 物理学 2009-10-31 A. A. Penin , A. A. Pivovarov

We compute the matching coefficients between QCD and non-relativistic QCD for external vector, axial-vector, scalar and pseudo-scalar currents up to three-loop order. We concentrate on the non-singlet contributions and present precise…

高能物理 - 唯象学 · 物理学 2022-06-22 Manuel Egner , Matteo Fael , Fabian Lange , Kay Schönwald , Matthias Steinhauser

I discuss three different selected topics in top quark physics. The first topic concerns the next-to-next-to-leading order calculation of the hadroproduction of top quark pairs and the role of multiple polylogarithms in this calculation. I…

高能物理 - 唯象学 · 物理学 2017-08-23 J. G. Körner

We calculate the next-to-next-to-leading order ${\cal O}(\alpha_s^4)$ one-loop squared corrections to the production of heavy quark pairs in quark-antiquark annihilations. These are part of the next-to-next-to-leading order ${\cal…

高能物理 - 唯象学 · 物理学 2008-11-26 J. G. Körner , Z. Merebashvili , M. Rogal

With the increasing experimental precision available at colliders, higher-order perturbative calculations are required to reduce the theory uncertainty in order to extract crucial QCD parameters, such as the strong coupling constant, to the…

高能物理 - 唯象学 · 物理学 2022-08-15 Marco Saragnese

The three-loop corrections to the potential of two heavy quarks are computed. Analytic results for the most complicated master integrals are presented.

高能物理 - 唯象学 · 物理学 2010-02-18 Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser

Hadronic vacuum polarization at low virtualities limits the precision of experimental tests of the standard model via important physical observables. Here we compute that effect in two-flavor chiral perturbation theory to three loops. Among…

高能物理 - 唯象学 · 物理学 2026-03-02 Laurent Lellouch , Alessandro Lupo , Mattias Sjö , Kálmán Szabo , Pierre Vanhove

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

I discuss a scheme to match perturbative and non-perturbative physics with power accuracy in the heavy-quark effective theory. I elaborate on two important aspects of the scheme: 1) a multi-loop subtraction of soft contributions from the…

高能物理 - 唯象学 · 物理学 2007-05-23 Xiangdong Ji

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

The three-loop QCD contributions to the vacuum polarization functions of the $Z$ and $W$ bosons at zero momentum are calculated. The top quark is considered to be massive and the other quarks massless. Using these results, we calculate the…

高能物理 - 唯象学 · 物理学 2011-01-13 L. Avdeev , J. Fleischer , S. Mikhailov , O. Tarasov

We demonstrate that the dispersive computation of the threshold enhancements to heavy quark vacuum polarizations is unstable. Because of the slow convergence of the dispersion relations the result critically depends on the intermediate…

高能物理 - 唯象学 · 物理学 2010-11-01 M. C. Gonzalez-Garcia , F. Halzen , R. A. Vázquez

Recent calculations are presented of top quark polarization in $t\bar t$ pair production close to threshold. S-P-wave interference gives contributions to all components of the top quark polarization vector. Rescattering of the decay…

高能物理 - 唯象学 · 物理学 2007-05-23 M. Jezabek , R. Harlander , J. H. Kuehn , M. Peter

The production of a top-quark pair, the heaviest known elementary particle, in association with a light jet is a key process for studying the properties of the Standard Model of Particle Physics. Due to its significance as a signal process…

The polarizations of the heavy quark ($q=t$ or $b$) in the process $e^+e^- \to q \bar q h$ have been calculated in the general two Higgs doublet model. The CP violating normal polarization of the top quark can reach 8%, and $2 \sim 3%$ for…

高能物理 - 唯象学 · 物理学 2009-11-07 Chao-Shang Huang , Shou-hua Zhu

We consider the currents formed by a heavy and a light quark within Quantum Chromodynamics and compute the matching to Heavy Quark Effective Theory to three-loop accuracy. As an application we obtain the third-order perturbative corrections…

高能物理 - 唯象学 · 物理学 2010-04-30 S. Bekavac , A. G. Grozin , P. Marquard , J. H. Piclum , D. Seidel , M. Steinhauser

Polarization studies for heavy quarks can lead to important tests of the Standard Model. Top quark pair production in $e^+e^-$ annihilation is considered near energy threshold. It is shown that for longitudinally polarized electrons the…

高能物理 - 唯象学 · 物理学 2011-03-02 M. Jezabek

A survey is given on the new 2- and 3-loop results for the heavy flavor contributions to deep-inelastic scattering in the unpolarized and the polarized case. We also discuss related new mathematical aspects applied in these calculations.

高能物理 - 唯象学 · 物理学 2021-07-21 J. Ablinger , J. Blümlein , A. De Freitas , M. Saragnese , C. Schneider , K. Schönwald

We numerically compute the two-loop QCD corrections to $Z\gamma$ production at the LHC mediated by light- and heavy-quark box loops. The calculation employs the pipeline of refs. arXiv:2407.18051 and arXiv:2510.18801, which performs Monte…

高能物理 - 唯象学 · 物理学 2026-03-04 Dario Kermanschah , Matilde Vicini