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Related papers: On Bjorken sum rule: heavy quarks and analytic cou…

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We compute the nonsinglet Adler $D$-function and the coefficient function for Bjorken polarized sum rules $S^{Bjp}$ at order $O(\alpha_s^4)$ in an extended QCD model with arbitrary number of fermion representations. The…

High Energy Physics - Phenomenology · Physics 2022-06-28 K. , G. Chetyrkin

Uses of QCD sum rules for heavy flavoured hadrons are discussed. "Standard" applications such as the determination of the $b$, $c$ quark masses, the calculation of $f_B$, $f_D$ and of the heavy-to-light form factors are overviewed.…

High Energy Physics - Phenomenology · Physics 2011-01-25 Alexander Khodjamirian

New relations between Bjorken polarized, Gross-Llewellyn Smith and Bjorken unpolarized sum rules are proposed. They are based on the ``universality'' of the perturbative and non-perturbative $\rm{1/Q^2}$ contributions to these sum rules.…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. L. Kataev

We present recent results from Jefferson Lab on sum rules related to the spin structure of the nucleon. We then discuss how the Bjorken sum rule, with its connection to the Gerasimov-Drell-Hearn sum, allows us to conveniently define an…

Nuclear Experiment · Physics 2015-05-13 A. Deur

An improved calculation of the strong coupling constants of B$_1$B$_{s0}$K and B$_1$B$_{s1}$K vertices is presented in the framework of the three-point QCD sum rules. The coupling constants are calculated, when both the B$_{s0}$(B$_{s1}$)…

High Energy Physics - Phenomenology · Physics 2020-09-15 Mohammad Ali Asgarian

Recent developments in the uses of QCD spectral sum rules (QSSR) for heavy flavours are summarized and updated. QSSR results are compared with the existing data and with the ones from alternative approaches.

High Energy Physics - Phenomenology · Physics 2014-11-17 Stephan Narison

We study the polarized Bjorken sum rule at low momentum transfers in the range $0.22<Q<1.73 {\rm GeV}$ with the four-loop N$^3$LO expression for the coefficient function $C_{\rm Bj}(\alpha_s)$ in the framework of the common QCD perturbation…

High Energy Physics - Phenomenology · Physics 2015-05-28 V. L. Khandramai , R. S. Pasechnik , D. V. Shirkov , O. P. Solovtsova , O. V. Teryaev

We present two variants of an approach for evaluation of observables in analytic QCD models. The approach is motivated by the skeleton expansion in a certain class of schemes. We then evaluate the Adler function at low energies in one…

High Energy Physics - Phenomenology · Physics 2009-11-11 Gorazd Cvetic , Cristian Valenzuela

We investigate the Gross-Llewellyn Smith sum rule within the framework of analytic QCD. A comparison is performed between experimental data, lattice calculations, and perturbative QCD based on conventional and analytic versions of…

High Energy Physics - Phenomenology · Physics 2025-10-28 I. R. Gabdrakhmanov , N. A Gramotkov , A. V. Kotikov , O. V. Teryaev , D. A. Volkova , I. A. Zemlyakov

Recent progress on QCD sum rule determinations of the light and heavy quark masses is reported. In the light quark sector a major breakthrough has been made recently in connection with the historical systematic uncertainties due to a lack…

High Energy Physics - Phenomenology · Physics 2015-05-27 C. A. Dominguez

We compute the imaginary part of the heavy quark contribution to the photon polarization tensor, i.e. the quarkonium spectral function in the vector channel, at next-to-leading order in thermal QCD. Matching our result, which is valid…

High Energy Physics - Phenomenology · Physics 2009-02-09 Y. Burnier , M. Laine , M. Vepsalainen

QCD sum rules are overviewed with an emphasize on the practical applications of this method to the physics of light and heavy hadrons.

High Energy Physics - Phenomenology · Physics 2017-08-23 Alexander Khodjamirian

The Bakamjian-Thomas relativistic quark model, describing hadrons with a fixed number of constituents, yields in the heavy quark limit of QCD covariant Isgur-Wise functions and satisfies the whole tower of lowest moment sum rules…

High Energy Physics - Phenomenology · Physics 2016-06-29 A. Le Yaouanc , L. Oliver , J. -C. Raynal

The current status of theoretical QCD calculations and experimental measurements of the Gottfried sum rule are discussed. The interesting from our point of view opened problems are summarised. Among them is the task of estimating the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. L. Kataev

Model independent sum rules for heavy baryon masses are tested for baryons containing charmed or bottom quarks. The sum rules depend only on the assumption that baryon mass differences are determined by spin-dependent two-body energies of…

High Energy Physics - Phenomenology · Physics 2008-11-19 Jerrold Franklin

QCD sum rules are used to calculate the couplings of heavy-light quark pseudoscalar and vector mesons ($D, D^*$ and $B, B^*$) with soft pions, both for finite and infinitely heavy quark mass. The couplings are also computed in the framework…

High Energy Physics - Phenomenology · Physics 2009-10-28 P. Colangelo

The determination of twist-4 corrections to the structure functions of polarized $e(\mu)N$ scattering by QCD sum rules is reviewed and critically analyzed. It is found that in the case of the Bjorken sum rule the twist-4 correction is small…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. L. Ioffe

We present a summary update of the QCD spectral sum rule (QSSR) results for the running and {\it perturbative pole} quark masses, the $f_D$ and $f_B$ leptonic decay constants, the heavy-to-light and heavy-to-heavy exclusive transition-form…

High Energy Physics - Phenomenology · Physics 2008-02-03 Stephan Narison

Precision calculations of heavy-to-light form factors are essential to sharpen our understanding towards the strong interaction dynamics of the heavy-quark system and to shed light on a coherent solution of flavor anomalies. We briefly…

High Energy Physics - Phenomenology · Physics 2016-12-21 Yu-Ming Wang

In the leading order of the heavy quark expansion, we propose a method within the OPE and the trace formalism, that allows to obtain, in a systematic way, Bjorken-like sum rules for the derivatives of the elastic Isgur-Wise function…

High Energy Physics - Phenomenology · Physics 2011-01-25 A. Le Yaouanc , L. Oliver , J. -C. Raynal