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Related papers: Rho parameters from odd and even chirality, therma…

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The improved light-cone QCD sum rules by using chiral current correlator is systematically reviewed and applied to the calculation of all the heavy-to-light form factors, including all the semileptonic and penguin ones. By choosing suitable…

High Energy Physics - Phenomenology · Physics 2009-03-12 Tao Huang , Zuo-Hong Li , Fen Zuo

In these lectures, I describe the techniques used within the QCD sum rule approach. The basic concepts of the approach are introduced using a simple model of quantum-mechanical oscillator in 2+1 dimensions. Then I discuss their…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Radyushkin

Exact relations between the QCD thermal pressure and the trace anomaly are derived. These are used, first, to prove the equivalence of the thermodynamic and the hydrodynamic pressure in equilibrium in the presence of the trace anomaly,…

High Energy Physics - Theory · Physics 2009-10-31 I T Drummond , R R Horgan , P V Landshoff , A Rebhan

New QCD sum rules for the nucleon axial-vector current coupling constants are derived. One set is derived from a generalized correlator of spin-1/2 interpolating fields, and the other with a mixed correlator of spin-1/2 and spin-3/2 fields.…

Nuclear Theory · Physics 2007-05-23 Frank X. Lee , Derek B. Leinweber , Xuemin Jin

The concept of QCD sum rules is extended to bound states composed of particles with finite mass such as scalar quarks or strange quarks. It turns out that mass corrections become important in this context. The number of relevant corrections…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. Meyer-Hermann , A. Schäfer , W. Greiner

The dispersive representation of axial anomaly leads to the anomaly sum rules (ASRs), exact nonperturbative relations in QCD. The analytical continuation of the ASRs to the time-like region is performed. The transition form factors of…

High Energy Physics - Phenomenology · Physics 2015-06-18 Yaroslav Klopot , Armen Oganesian , Oleg Teryaev

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

By considering that the weak currents and the electromagnetic current are members of the same SU(3) octet, two sum rules involving leading vector form factors in hyperon semileptonic decays are derived in the limit of exact flavor SU(3)…

High Energy Physics - Phenomenology · Physics 2017-05-24 Ruben Flores-Mendieta , Roberto Padron-Stevens

An updated analysis of vector and axial-vector spectral functions is presented. The resonant contributions to the spectral integrals are shown to be expressible as multiples of 4 pi^2 f_pi^2, encoding the scale of spontaneous chiral…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. Marco , R. Hofmann , W. Weise

Exact sum rules for the longitudinal and transverse part of the vector channel spectral functions at nonzero momentum are derived in the first part of the paper. The sum rules are formulated for the finite temperature spectral functions,…

High Energy Physics - Phenomenology · Physics 2018-01-01 Philipp Gubler , Daisuke Satow

Based on an effective Lagrangian which combines chiral SU(3) dynamics with vector meson dominance, we have developed a model for the forward vector meson-nucleon scattering amplitudes. We use this as an input to calculate the low energy…

High Energy Physics - Phenomenology · Physics 2009-07-09 F. Klingl , N. Kaiser , W. Weise

The temperature corrections to the current algebra Gell-Mann, Oakes, and Renner (GMOR) relation in $SU(2)\otimes SU(2)$ are investigated in the framework of QCD sum rules. There are no corrections at leading order in the quark masses. At…

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

A set of well known chiral sum rules, expected to be valid in QCD, is confronted with experimental data on the vector and axial-vector hadronic spectral functions, obtained from tau-lepton decay by the ALEPH collaboration. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. A. Dominguez , K. Schilcher

We elaborate on a recently proposed extension of the Gerasimov-Drell-Hearn (GDH) sum rule which is achieved by taking derivatives with respect to the anomalous magnetic moment. The new sum rule features a {\it linear} relation between the…

High Energy Physics - Phenomenology · Physics 2014-11-18 B. R. Holstein , V. Pascalutsa , M. Vanderhaeghen

By incorporating contributions from both the (chromo)electric scale $gT$ and (chromo)magnetic scale $g^2T$, we establish spectral sum rules of quarks for strongly coupled QCD that respect Fermi-Dirac statistics as required by quantum…

High Energy Physics - Theory · Physics 2024-12-31 Yi-Lun Du , Nan Su , Konrad Tywoniuk

Within a chiral model which provides a good description of the properties of rho and a_1 mesons in vacuum, it is shown that, to order T^2, the rho- and a_1-meson masses remain constant in the chiral limit, even if at tree level they are…

Nuclear Theory · Physics 2009-11-07 M. Urban , M. Buballa , J. Wambach

We study the higher order corrections of quark masses to the Gell-Mann$-$Oakes$-$Renner (GOR) relation by constructing QCD sum rules exclusively for pseudoscalar mesons from the axial-vector correlation function, $i \int d^4x~ e^{ip\cdot x}…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hungchong Kim

We pursue the idea of assessing chiral restoration via in-medium modifications of hadronic spectral functions of chiral partners. The usefulness of sum rules in this endeavor is illustrated, focusing on the vector and axial-vector channels.…

High Energy Physics - Phenomenology · Physics 2015-06-11 Paul M. Hohler , Ralf Rapp

We show on the basis of an effective theory of QCD that a wide variety of observables in the hadron world is governed by the chiral symmetry together with an interplay between the axial anomaly and the explicit symmetry breaking due to the…

High Energy Physics - Phenomenology · Physics 2016-11-03 Teiji Kunihiro

QCD sum rules for positive and negative parity heavy baryons in the heavy quark limit are formulated. We apply the method to $\Lambda$ and $\Sigma$ channels. We include the next-to-leading order corrections in $\alpha_s$-expansion to…

High Energy Physics - Phenomenology · Physics 2024-04-16 Tetsuo Nishikawa , Yoshihiko Kondo , Yoshiko Kanada-En'yo
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