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Exotic mesons with quantum numbers of a hybrid ($\bar{q} q g$) such as $J^{PC} = 1^{-+}$are shown to exist as narrow resonant states in the large $N_c$ limit of QCD. The width of these states is proportional to $1/N_c$. Possible…

High Energy Physics - Phenomenology · Physics 2009-10-31 Thomas D. Cohen

It is shown that the large $N_c$ limit of QCD with quarks in the two-index antisymmetric color representation [QCD(AS)] has narrow tetraquark states with exotic flavor quantum numbers. They decay into mesons with a width that is…

High Energy Physics - Phenomenology · Physics 2014-03-26 Thomas D. Cohen , Richard F. Lebed

We calculate the contributions arising at order $\alpha_s$ in the QCD sum rule for the spin-symmetry violating universal function $\chi_3(v\cdot v')$, which appears at order $1/m_Q$ in the heavy quark expansion of meson form factors. In…

High Energy Physics - Phenomenology · Physics 2009-10-22 M. Neubert , Z. Ligeti , Y. Nir

We calculate the branching ratios and CP asymmetries of the $B \to \pi \rho$, $\pi\omega $ decays in the perturbative QCD factorization approach up to the next-to-leading-order contributions. We find that the next-to-leading-order…

High Energy Physics - Phenomenology · Physics 2012-03-20 Zhou Rui , Gao Xiangdong , Cai-Dian Lu

The long-distance and non-local parts of the form factors describing the single-photon mediated $K_{S,L}\to\pi^0\gamma^*\to\pi^0\ell^+\ell^-$ ($\ell = e, \mu$) transitions in the standard model are addressed in QCD in the limit where the…

High Energy Physics - Phenomenology · Physics 2024-09-16 Giancarlo D'Ambrosio , Marc Knecht

We provide quantitative inductive estimates for Green's functions of matrices with (sub)expoentially decaying off diagonal entries in higher dimensions. Together with Cartan's estimates and discrepancy estimates, we establish explicit…

Mathematical Physics · Physics 2023-02-15 Wencai Liu

The anomalous <VVP> Green function and related form-factors (pi^0 to gamma^* gamma^* and tau^- to X^- nu_tau vector form-factors, with X^-=(KKpi)^-, phi^- gamma, (phi V)^-) are analyzed in this letter in the large-N_C limit. Within the…

High Energy Physics - Phenomenology · Physics 2014-05-02 Pablo Roig , Juan José Sanz Cillero

The decays of non-strange negative parity baryons via the emission of single $\pi$ and $\eta$ mesons are analyzed in the framework of the $1/N_c$ expansion. A basis of spin-flavor operators for the partial wave amplitudes is established to…

High Energy Physics - Phenomenology · Physics 2014-11-18 J. L. Goity , C. Schat , N. Scoccola

In this research, we conduct a global QCD analysis of fragmentation functions (FFs) for neutral pions ($\pi^0$), neutral kaons ($K_S^0$), and eta mesons ($\eta$), utilizing world data of single inclusive hadron production in $e^+e^-$…

High Energy Physics - Phenomenology · Physics 2024-04-18 Mengyang Li , Daniele Paolo Anderle , Hongxi Xing , Yuxiang Zhao

We formulate rigorous criteria for selecting diagrams to be taken into account in the analysis of potential polyquark (tetra or penta) poles in QCD. The central point of these criteria is the requirement that the Feynman diagrams for the…

High Energy Physics - Phenomenology · Physics 2017-10-26 Dmitri Melikhov

After presenting a brief summary of functional approaches to QCD at vanishing temperatures and densities the application of QCD Green's functions at non-vanishing temperature and vanishing density is discussed. It is pointed out in which…

High Energy Physics - Phenomenology · Physics 2015-03-17 Reinhard Alkofer , Mario Mitter , Bernd-Jochen Schaefer

Using the 1/N_C expansion scheme and truncating the hadronic spectrum to the lowest-lying resonances, we match a meromorphic approximation to the < S P P > Green function onto QCD by imposing the correct large-momentum falloff, both…

High Energy Physics - Phenomenology · Physics 2011-05-05 V. Cirigliano , G. Ecker , M. Eidemuller , R. Kaiser , A. Pich , J. Portoles

The behavior of the two-particle Green's function in QED is analyzed in the limit when one of the particles becomes infinitely massive. It is found that the dependences of the Green's function on the relative times of the ingoing and…

High Energy Physics - Theory · Physics 2008-11-26 H. Jallouli , H. Sazdjian

In the large N_c(number of colors) limit, quenched QCD and QCD are identical. This implies that, in the effective field theory framework, some of the low energy constants in (N_c=3) quenched QCD and QCD are the same up to higher-order…

High Energy Physics - Lattice · Physics 2015-06-25 Jiunn-Wei Chen

The quasiclassical Green functions of the Dirac and Klein-Gordon equations in the external electric field are obtained with the first correction taken into account. The relevant potential is assumed to be localized, while its spherical…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. N. Lee , A. I. Milstein , V. M. Strakhovenko

We study nonequilibrium noise correlations in diffusive normal-superconducting structures in the presence of a supercurrent. We present a parametrization for the quasiclassical Green's function in the first order of the counting field…

Mesoscale and Nanoscale Physics · Physics 2009-06-17 Markku P. V. Stenberg , Pauli Virtanen , Tero T. Heikkilä

The odd-frequency superconducting state appears generally in hybrid structures consisting of conventional superconductors and other materials, and features electrons that form temporally non-local Cooper pairs. The quasiclassical theory of…

Superconductivity · Physics 2022-12-09 Hans Gløckner Giil , Jacob Linder

The $q^2$ dependence of the $\pi$-$\eta$ mixing amplitude is examined with the use of QCD sum rules. The linear slope of the mixing function $\theta(q^2)$ is found to be much smaller than that for $\rho$-$\omega$ mixing. Thus the mixing…

High Energy Physics - Phenomenology · Physics 2009-10-28 Chuan-Tsung Chan , E. M. Henley , Th. Meissner

Recent studies of QCD Green's functions and their applications in hadronic physics are reviewed. We briefly discuss the issues of gauge fixing, BRS invariance and positivity. Evidence for the violation of positivity by quarks and transverse…

High Energy Physics - Phenomenology · Physics 2010-02-18 Reinhard Alkofer , Lorenz von Smekal

A recently proposed generating functional allows the construction of the full set of n-point Green functions in QCD at high temperature and at distances larger than 1/gT. One may then learn how the system maintains its thermal equilibrium…

High Energy Physics - Phenomenology · Physics 2009-11-07 F. Guerin