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We calculate the two-loop Bethe logarithm correction to atomic energy levels in hydrogen-like systems. The two-loop Bethe logarithm is a low-energy quantum electrodynamic (QED) effect involving multiple summations over virtual excited…

高能物理 - 唯象学 · 物理学 2007-05-23 Krzysztof Pachucki , Ulrich D. Jentschura

We present the recent JLab measurements on moments of spin structure functions at intermediate and low Q^2. The Bjorken sum and Burkhardt-Cottingham sum on the neutron are presented. The later appears to hold. Higher moments (generalized…

核实验 · 物理学 2014-11-18 A. Deur

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

Dimensional reduction is a key issue in finite temperature field theory. For example, when following the QCD Free Energy from low to high scales across the critical temperature, ultrasoft degrees of freedom can be captured by a 3d SU(3)…

高能物理 - 格点 · 物理学 2016-09-01 F. Di Renzo , A. Mantovi , V. Miccio , Y. Schroder

Cosmological perturbation theory is a powerful tool to predict the statistics of large-scale structure in the weakly non-linear regime, but even at 1-loop order it results in computationally expensive mode-coupling integrals. Here we…

宇宙学与河外天体物理 · 物理学 2017-02-17 Xiao Fang , Jonathan A. Blazek , Joseph E. McEwen , Christopher M. Hirata

The mixed-isospin vector current correlator, $\langle 0\vert T(V^\rho_\mu V^\omega_\nu )\vert 0\rangle$ is evaluated using both QCD sum rules and Chiral Perturbation Theory (ChPT) to one-loop order. The sum rule treatment is a modification…

高能物理 - 唯象学 · 物理学 2014-11-17 Kim Maltman

We summarize recent results obtained in [1] on the running m_{c,b}(m_{c,b}) in the MS scheme and f_{D_(s), B_(s)} using QCD spectral sum rules (QSSR) known to N2LO PT series, including all dimension-six NP condensate contributions in the…

高能物理 - 唯象学 · 物理学 2015-06-11 Stephan Narison

We check quantitatively the validity of some popular phenomenological approaches of QCD in simple models. Dispersion sum rules are considered within the ladder approximation of a field-theoretic model with OPE given by ordinary loop…

高能物理 - 唯象学 · 物理学 2008-02-03 A. A. Penin , A. A. Pivovarov

A novel approach to parton distributions parameterization in terms of quantum statistical functions is here outlined. The description, already proposed in previous publications, is here improved by adding to the statistical distributions an…

高能物理 - 唯象学 · 物理学 2007-05-23 G. Miele

The summary of the available semi-analytical results for the three-loop corrections to the QCD static potential and for the $\mathcal{O}(\alpha_s^4)$ contributions to the ratio of the running and pole heavy quark masses are presented. The…

高能物理 - 唯象学 · 物理学 2016-12-21 A. L. Kataev , V. S. Molokoedov

We propose an implicit regularisation scheme. The main advantage is that since no explicit use of a regulator is made, one can in principle avoid undesirable symmetry violations related to its choice. The divergent amplitudes are split into…

高能物理 - 理论 · 物理学 2009-10-31 A. Brizola , O. A. Battistel , Marcos Sampaio , M. C. Nemes

A formal derivation of the polarization correlations between the incident electron and the scattered electron is given for a general class of transition operators. In correspondence to the case of bremsstrahlung emission, three sum rules…

核理论 · 物理学 2024-02-12 D. H. Jakubassa-Amundsen

Solving the QCD renormalization group equation at the 2-loop and 3-loop orders we obtain explicit expressions for the coupling as a function of the scale in terms of the Lambert W function. We study the nature of the ``Landau…

高能物理 - 唯象学 · 物理学 2010-02-03 Einan Gardi , Georges Grunberg , Marek Karliner

We discuss Pad\'e-improvement of known four-loop order results based upon an asymptotic three-parameter error formula for Pad\'e-approximants. We derive an explicit formula estimating the next-order coefficient $R_4$ from the previous…

高能物理 - 唯象学 · 物理学 2009-10-31 V. Elias , T. G. Steele , F. Chishtie , R. Migneron , K. Sprague

We revisit the $\rho$-meson longitudinal leading-twist distribution amplitude (DA) $\phi_{2;\rho}^\|$ by using the QCD sum rules approach within the background field theory. To improve the accuracy of the sum rules for its moments…

高能物理 - 唯象学 · 物理学 2016-10-05 Hai-Bing Fu , Xing-Gang Wu , Wei Cheng , Tao Zhong

New relations between Bjorken polarized, Bjorken unpolarized and Gross-Llewellyn Smith sum rules are desribed. These relations are valid in the region, where both perturbative series and the series in power-suppressed $1/Q^2$-terms do not…

高能物理 - 唯象学 · 物理学 2009-11-11 A. L. Kataev

We assess the accuracy of our previous Asymptotic Pad\'e predictions of the five-loop QCD $\beta$-function and quark mass anomalous dimension in the light of subsequent exact results. We find the low-order coefficients in an expansion in…

高能物理 - 唯象学 · 物理学 2026-04-10 J. A. Gracey , I. Jack , D. R. T. Jones

Using the framework of QCD sum rules we predict the twist-3 contribution to the second moment of the polarized nucleon structure function $g_2(x)$. As the relevant local operator depends explicitely on the gluon field, we employ a recently…

高能物理 - 唯象学 · 物理学 2011-08-11 E. Stein , P. Gornicki , L. Mankiewicz , A. Schaefer , W. Greiner

The connection between ghost-free formulations of RG-invariant perturbation theory in the both Euclidean and Minkowskian regions is studied. Our basic tool is the "double spectral representation", similar to definition of Adler function,…

高能物理 - 唯象学 · 物理学 2007-05-23 D. V. Shirkov

While the quantum regression theorem (QRT) is the standard tool for computing multi-time correlation functions in open quantum systems, it relies on system-bath separability and an environment that remains in equilibrium, assumptions that…

量子物理 · 物理学 2026-04-16 Matias Bundgaard-Nielsen , Jake Iles-Smith