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We present an analysis of four sum rules, each based on chiral symmetry and containing the difference $\rho_{\rm V}(s) - \rho_{\rm A}(s)$ of isovector vector and axialvector spectral functions. Experimental data from tau lepton decay and…

High Energy Physics - Phenomenology · Physics 2009-10-22 John F. Donoghue , Eugene Golowich

We review the recent progress in the applications of QCD sum rules to hadron properties with the emphasis on the following selected problems: (i) development of new algorithms for the extraction of ground-state parameters from two-point…

High Energy Physics - Phenomenology · Physics 2016-01-26 Dmitri Melikhov

Thermal Finite Energy QCD sum rules for the vector current correlator are used to study quark-gluon deconfinement. Assuming $\rho$-meson saturation of the correlator in the hadronic sector, and the Operator Product Expansion in QCD, we…

High Energy Physics - Phenomenology · Physics 2013-05-30 Alejandro Ayala , C. A. Dominguez , M. Loewe , Y. Zhang

We construct QCD sum rules for nonperturbative studies without assuming the quark-hadron duality for the spectral density at low energy on the hadron side. Instead, both resonance and continuum contributions to the spectral density are…

High Energy Physics - Phenomenology · Physics 2021-01-04 Hsiang-nan Li , Hiroyuki Umeeda

We analyze QCD and Weinberg-type sum rules in a low-temperature pion gas using vector and axial-vector spectral functions following from the model-independent chiral-mixing scheme. Toward this end we employ recently constructed vacuum…

High Energy Physics - Phenomenology · Physics 2013-05-02 Nathan P. M. Holt , Paul M. Hohler , Ralf Rapp

QCD sum rules are evaluated at finite nucleon densities and temperatures to determine the change of mass parameters for the lightest vector mesons $\rho$, $\omega$ and $\phi$ in a strongly interacting medium. For conditions relevant for the…

Nuclear Theory · Physics 2008-11-26 S. Zschocke , O. P. Pavlenko , B. Kampfer

We generalize the sum rule approach to investigate the nonperturbative structure of QCD at high temperature. Salient features of the QCD phase above $T_c$ are discussed, and included in the form of power corrections or condensate…

High Energy Physics - Phenomenology · Physics 2021-10-26 Thors Hans Hansson , Ismail Zahed

We address some criticisms by Eletsky and Ioffe on the extension of QCD sum rules to finite temperature. We argue that this extension is possible, provided the Operator Product Expansion and QCD-hadron duality remain valid at non-zero…

High Energy Physics - Phenomenology · Physics 2009-10-28 C. A. Dominguez , M. Loewe

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…

High Energy Physics - Phenomenology · Physics 2014-11-17 Kim Maltman

We investigate the properties of heavy quarkonia at finite temperature in detail using QCD sum rules. Extending previous analyses, we take into account a temperature dependent effective continuum threshold and derive constraints on the…

High Energy Physics - Phenomenology · Physics 2014-11-20 Kenji Morita , Su Houng Lee

Two new QCD sum rules for nucleon tensor charge are derived from a mixed correlator of spin-1/2 and spin-3/2 nucleon interpolating fields. These sum rules are analyzed along with a sum rule obtained from the usual correlator of a general…

High Energy Physics - Phenomenology · Physics 2009-10-30 Xuemin Jin , Jian Tang

The forms of the neutral, non-strange pseudoscalar propagator matrix and mixed axial current correlator, $\lngle0|T(A_\mu^3 A_\nu^8)|0\rangle$, are discussed at next-to-leading (one-loop) order in chiral perturbation theory, and the results…

High Energy Physics - Phenomenology · Physics 2009-10-28 Kim Maltman

We apply the nonlocal condensate formalism to construct generalized sum rules (including $O(\as)$-radiative corrections) for $\pi$-, $\rho$- and $\rho'$-meson wave functions of twist 2. Besides, we predict the lepton decay constant…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. P. Bakulev , S. V. Mikhailov

In this article, we assume that the two quarks have unequal masses and calculate the next-to-leading order contributions to the spectral densities of the mesonic two-point correlation functions of the vector, axialvector, scalar and…

High Energy Physics - Phenomenology · Physics 2013-11-08 Zhi-Gang Wang

By using a thermal Finite Energy QCD Sum Rule, we are able to establish the temperature dependence of the $g_{\omega \rho \pi}(T)$ strong coupling. It turns out that this coupling decreases as a function of temperature, vanishing at the…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. A. Dominguez , M. Loewe

The DDrho form factor is evaluated in a QCD sum rule calculation for both D and rho off-shell mesons. We study the double Borel sum rule for the three point function of two pseudoscalar and one vector meson currents. We find that the…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. E. Bracco , M. Chiapparini , A. Lozea , F. S. Navarra , M. Nielsen

Sum rules for products of two, three and four QCD currents are derived using chiral symmetry at infinite momentum in the large-N limit. These exact relations among meson decay constants, axialvector couplings and masses determine the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Silas R. Beane

QCD sum rules for chiral partners in the open-charm meson sector are presented at nonzero baryon net density or temperature. We focus on the differences between pseudo-scalar and scalar as well as vector and axial-vector D mesons and derive…

Nuclear Theory · Physics 2011-10-10 Thomas Hilger , Burkhard Kampfer , Stefan Leupold

We review the recent status of the QCD sum rule approach to study the properties of hadrons in vacuum and in hot or dense matter. Special focus is laid on the progress made in the evaluation of the QCD condensates, which are the input of…

High Energy Physics - Phenomenology · Physics 2019-04-09 Philipp Gubler , Daisuke Satow

Dispersive sum rules constitute long-standing tools for extracting hadron features from QCD. We estimate the systematic uncertainties induced by assuming quark-hadron duality and improve the accuracy of the resulting predictions by…

High Energy Physics - Phenomenology · Physics 2015-03-19 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula