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Charmonium sum rules are analyzed with the primary goal to obtain the restrictions on the value of dimension 4 gluon condensate. The moments M_n(Q^2) of the polarization operator of vector charm currents are calculated and compared with…

High Energy Physics - Phenomenology · Physics 2011-09-13 B. L. Ioffe , K. N. Zyablyuk

We determine the MS-bar charm quark mass from a charmonium QCD sum rules analysis. On the theoretical side we use input from perturbation theory at O(alpha_s^3). Improvements with respect to previous O(alpha_s^3) analyses include (1) an…

High Energy Physics - Phenomenology · Physics 2013-07-30 Bahman Dehnadi , Andre H. Hoang , Vicent Mateu , S. Mohammad Zebarjad

The charmonium sum rules for the axial-vector current are considered. The three-loop perturbative corrections, operators up to 8 dimension and perturbative corrections to the lowest dimension operator are accounted. The contribution of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Samsonov

Higher-loop corrections to the pseudoscalar ($0^{-+}$) gluonium correlation function will be used to obtain the leading gluon condensate contributions to the subtraction-independent QCD sum-rules. The effect of these higher-loop corrections…

High Energy Physics - Phenomenology · Physics 2021-07-01 D. Asner , R. B. Mann , J. L. Murison , T. G. Steele

In this talk we discuss results of a new extraction of the MS-bar charm quark mass using relativistic QCD sum rules at O(as**3) based on moments of the vector and the pseudoscalar current correlators and using the available experimental…

High Energy Physics - Phenomenology · Physics 2014-11-21 Bahman Dehnadi , Andre H. Hoang , Vicent Mateu

The gluon condensate, $\langle \frac{\alpha_s}{\pi} G^2 \rangle$, i.e. the leading order power correction in the operator product expansion of current correlators in QCD at short distances, is determined from $e^+ e^-$ annihilation data in…

High Energy Physics - Phenomenology · Physics 2015-06-23 C. A. Dominguez , L. A. Hernandez , K. Schilcher

We use lattice QCD simulations, with MILC gluon configurations and HISQ c-quark propagators, to make very precise determinations of moments of charm-quark pseudoscalar, vector and axial-vector correlators. These moments are combined with…

We report results of our recent works [1,2] where we where the correlations between the c,b-quark running masses{m}_{c,b}, the gluon condensate<\alpha_s G^2> and the QCD coupling \alpha_s in the MS-scheme from an analysis of the charmonium…

High Energy Physics - Phenomenology · Physics 2023-08-08 Stephan Narison

We present a sum-rule extraction of the decay constants of the charmed mesons D and D_s from the two-point correlator of pseudoscalar currents. First, we compare the perturbative expansion for the correlator and the decay constant performed…

High Energy Physics - Phenomenology · Physics 2015-03-18 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

One-loop quark contributions to the dimension-four gluon condensate term in the operator product expansion (OPE) of the scalar glueball correlation function are calculated in the MS-bar scheme in the chiral limit of $n_f$ quark flavours.…

High Energy Physics - Phenomenology · Physics 2011-07-19 D. Harnett , T. G. Steele

QCD sum rules involving mixed inverse moment integration kernels are used in order to determine the running charm-quark mass in the $\bar{MS}$ scheme. Both the high and the low energy expansion of the vector current correlator are involved…

High Energy Physics - Phenomenology · Physics 2011-04-22 S. Bodenstein , J. Bordes , C. A. Dominguez , J. Penarrocha , K. Schilcher

We test the convergence of the QCD exponential moments by including PT corrections to order \alpha_s^3 and the NP contributions up to D=8 <G^4> condensates. Then, using the ratio of exponential sum rules where the QCD PT series is more…

High Energy Physics - Phenomenology · Physics 2015-05-28 Stephan Narison

The in-medium masses of the pseudoscalar open charm ($D$, $\bar D$, $D_s$ and $\bar {D_s}$) and open bottom ($B$, $\bar B$, $B_s$ and $\bar {B_s}$) mesons in hot asymmetric strange hadronic matter are studied within a QCD sum rule approach.…

High Energy Physics - Phenomenology · Physics 2025-08-05 Amruta Mishra

Correlations between the QCD coupling \alpha_s, the gluon condensate < \alpha_s G^2 >, and the c,b-quark running masses m_c,b in the MS-scheme are explicitly studied (for the first time) from the (axial-)vector and (pseudo)scalar charmonium…

High Energy Physics - Phenomenology · Physics 2018-12-04 Stephan Narison

We present new determinations of the MS-bar charm quark mass using relativistic QCD sum rules at O(alpha_s^3) from the moments of the vector and the pseudoscalar current correlators. We use available experimental measurements from e+e-…

High Energy Physics - Phenomenology · Physics 2015-09-02 Bahman Dehnadi , Andre H. Hoang , Vicent Mateu

Instanton effects and three-loop perturbative contributions are incorporated into QCD sum-rule analyses of pseudoscalar ($J^{PC}=0^{-+}$) gluonium. Gaussian sum-rules are shown to be superior to Laplace sum-rules in optimized predictions…

High Energy Physics - Phenomenology · Physics 2015-06-25 Ailin Zhang , T. G. Steele

In this article, we study the $S\bar{S}$ type scalar tetraquark state $cq\bar{c}\bar{q}$ in details with the QCD sum rules by calculating the contributions of the vacuum condensates up to dimension-10 in the operator product expansion, and…

High Energy Physics - Phenomenology · Physics 2015-02-03 Zhi-Gang Wang

We include the new, five-loop, O(alpha_s^4) correction into the QCD sum rule used for the s-quark mass determination. The pseudoscalar Borel sum rule is taken as a study case. The OPE for the correlation function with N^4LO, O(alpha_s^4)…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. G. Chetyrkin , A. Khodjamirian

In this paper analytical results are presented for higher order corrections to coefficient functions of the operator product expansion (OPE) for the correlator of two pseudoscalar gluonium operators \tilde{O}_1=G^{\mu \nu}\tilde{G}_{\mu…

High Energy Physics - Phenomenology · Physics 2017-07-25 M. F. Zoller

The coefficient functions of the gluon condensate $<G^2>$, in the correlators of heavy-quark vector, axial, scalar and pseudoscalar currents, are obtained analytically, to two loops, for all values of $z=q^2/4m^2$. In the limiting cases…

High Energy Physics - Phenomenology · Physics 2010-11-01 D. J. Broadhurst , P. A. Baikov , V. A. Ilyin , J. Fleischer , O. V. Tarasov , V. A. Smirnov
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