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Applications of QCD sum rules to exclusive decays of heavy mesons are reviewed. In detail, we discuss the calculations of the B and $D$ decay constants, the heavy-to-light form factors $f^+(p^2)$ and $f^0(p^2)$, and the strong couplings…

High Energy Physics - Phenomenology · Physics 2016-11-03 A. Khodjamirian , R. Rückl

Like the even chirality correlation functions of, say, the two vector currents, one can also consider odd chirality correlation functions to write thermal QCD sum rules. They contain fewer non-perturbative corrections, at least to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Mallik , Krishnendu Mukherjee

We present the results of [1], where good agreement was obtained between calculations within the framework of analytic QCD and experimental data on polarized Bjorken sum rule. The photoproduction limit was also considered and a new…

High Energy Physics - Phenomenology · Physics 2024-07-04 I. R. Gabdrakhmanov , N. A Gramotkov , A. V. Kotikov , O. V. Teryaev , D. A. Volkova , I. A. Zemlyakov

We use the BLM scale-fixing prescription to derive a renormalization-scheme invariant relation between the coefficient function for the Bjorken sum rule for polarized deep inelastic scattering and the $R$-ratio for the $e^+e^-$ annihilation…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky , G. T. Gabadadze , A. L. Kataev , H. J. Lu

Based on gauge-gravity duality, by using holographic entanglement entropy, we have done a phenomenological study to probe confinement-deconfinement phase transition in the QCD-like gauge theory. Our outcomes are in perfect agreement with…

High Energy Physics - Theory · Physics 2017-10-25 M Lezgi , M. Ali-Akbari

A new approach of the QCD sum rule is proposed in which positive and negative-parity baryons couple with each other. With positive and negative-parity states explicitly taken into account, sum rules are derived by means of the dispersion…

High Energy Physics - Phenomenology · Physics 2009-11-11 Yoshihiko Kondo , Osamu Morimatsu , Tetsuo Nishikawa

An introduction to the method of QCD sum rules is given for those who want to learn how to use this method. Furthermore, we discuss various applications of sum rules, from the determination of quark masses to the calculation of hadronic…

High Energy Physics - Phenomenology · Physics 2016-11-23 Pietro Colangelo , Alexander Khodjamirian

A new technique based on H\"older's integral inequality is applied to QCD sum-rules to provide fundamental constraints on the sum-rule parameters. These constraints must be satisfied if the sum-rules are to consistently describe integrated…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Benmerrouche , G. Orlandini , T. G. Steele

The QCD finite energy sum rules method is used to show that the parameter of the K^0-\bar{K}_0 mixing \hat{B} is mainly determined by the value of g m_s< \bar{d} G_{\mu\nu} \sigma_{\mu\nu} d > and the vacuum expectation values of four-quark…

High Energy Physics - Phenomenology · Physics 2010-11-01 K. G. Chetyrkin , A. L. Kataev , A. B. Krasulin , A. A. Pivovarov

We investigate the widths of the recently observed charmonium like resonances X(3872), Z(4430) and Z_2(4250) using QCD sum rules. Extending previous analyses regarding these states as diquark-antiquark states or molecules of D mesons, we…

High Energy Physics - Phenomenology · Physics 2008-11-26 Su Houng Lee , Kenji Morita , Marina Nielsen

We review QCD sum rule applications to hadronic matrix elements of exclusive $B$ and $D$ decays. Results are presented for the form factors $f^+$ and $F_0$ of $B \rightarrow \pi$ and $D\rightarrow \pi$ transitions. The predictions are used…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Khodjamirian , R. Rückl

The gauge/gravity duality, combined with information from lattice QCD, nuclear theory, and perturbative QCD, can be used to constrain the equation of state of hot and dense QCD. I discuss an approach based on the holographic V-QCD model. I…

High Energy Physics - Phenomenology · Physics 2023-07-06 Matti Jarvinen

QCD sum rules for the nucleon are considered in complex q^2 plane with inclusion of the radiative corrections of the order alpha_s. It is shown that the radiative corrections affect mainly the residue lambda^2 of the nucleon pole. Their…

High Energy Physics - Phenomenology · Physics 2009-11-11 V. A. Sadovnikova , E. G. Drukarev , M. G. Ryskin

We consider sum rules of the Weinberg type at zero and nonzero temperatures. On the basis of the operator product expansion at zero temperature we obtain a new sum rule which involves the average of a four-quark operator on one side and…

High Energy Physics - Phenomenology · Physics 2009-10-22 J. I. Kapusta , E. V. Shuryak

The chiral phase transition of the quark sector of QCD is investigated within the Hamiltonian approach in Coulomb gauge. Finite temperature T is introduced by compactifying one spatial dimension, which makes all thermodynamical quantities…

High Energy Physics - Lattice · Physics 2018-08-29 Markus Quandt , Ehsan Ebadati , Hugo Reinhardt , Peter Vastag

QCD sum rules are used to study the mass spectrum of bottom-charm hybrid $\bar bGc$ systems. The correlation functions and the spectral densities are calculated up to dimension six condensates at leading order of $\alpha_s$ for several…

High Energy Physics - Phenomenology · Physics 2014-01-21 Wei Chen , T. G. Steele , Shi-Lin Zhu

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…

High Energy Physics - Phenomenology · Physics 2011-08-11 E. Stein , P. Gornicki , L. Mankiewicz , A. Schaefer , W. Greiner

A finite temperature extension of the effective holographic models for QCD (EHQCD), proposed in Ref.[1], is investigated in the present work. EHQCD models are characterized by two parameters, the conformal dimension of the relevant operator…

High Energy Physics - Theory · Physics 2021-08-25 Alfonso Ballon-Bayona , Luis A. H. Mamani , Alex S. Miranda , Vilson T. Zanchin

In this paper, we investigate deep inelastic and elastic scattering on a polarized spin-1/2 hadron using gauge/string duality. This spin-1/2 hadron corresponds to a supergravity mode of the dilatino. The polarized deep inelastic structure…

High Energy Physics - Phenomenology · Physics 2009-09-02 Jian-Hua Gao , Bo-Wen Xiao

The method of QCD sum rules has proven to be particularly useful in heavy quark physics, where a small distance scale is provided by the inverse heavy quark mass. We present two new examples for the application of this method to B-physics:…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. Khodjamirian , R. Rückl
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