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We propose a simple method to calculate the pion form factor at not very large momentum transfers, which combines the technique of the QCD sum rules with the description of the pion in terms of the set of wave functions of increasing twist.…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. M. Braun , I. Halperin

The transition pion-photon form factor is studied within the framework of Light-Cone QCD Sum Rules. The spectral density for the next-to-leading order corrections is calculated for any Gegenbauer harmonic. At the level of the…

High Energy Physics - Phenomenology · Physics 2011-05-13 S. V. Mikhailov , N. G. Stefanis

We present an overview of a novel approach to the QCD Light-Cone Sum Rule method, employing $B$-meson Light-Cone Distribution Amplitudes. This method circumvents the semi-global quark-hadron duality (QHD) approximation, which can introduce…

High Energy Physics - Phenomenology · Physics 2024-12-11 Y. Monceaux

Motivated by the 1/Nc expansion, we present a simple model of pion-pion scattering as a sum of a `current-algebra' contact term and resonant pole exchanges. The model preserves crossing symmetry as well as unitarity up to 1.2 GeV. Key…

High Energy Physics - Phenomenology · Physics 2008-11-26 Masayasu Harada , Francesco Sannino , Joseph Schechter

We study the accuracy of the pion form factor, obtained with a local-duality version of dispersive sum rules. To probe this accuracy, we make use of a potential model, where the exact form factor may be calculated from the solution of the…

High Energy Physics - Phenomenology · Physics 2010-11-30 Irina Balakireva

We discuss a constraint of conformal symmetry in the analysis of the pion form factor. The usual power-law behavior of the form factor obtained in the perturbative QCD analysis can also be attained by taking negligible quark masses in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. -M. Choi , C. -R. Ji

In this paper we present the result of a direct QCD sum rule calculation of the transition form factor \gamma\gamma* -> pi^o in the region of moderately large invariant momentum Q^2 > 1GeV^2 of the virtual photon. In contrast to pQCD, we…

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

Starting from the QCD sum rules with nonlocal condensates for the pion distribution amplitude, we derive another sum rule for its derivative and its "integral" derivatives---defined in this work. We use this new sum rule to analyze the fine…

High Energy Physics - Phenomenology · Physics 2014-11-21 S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis

A description of the generalized Gerasimov-Drell-Hearn sum rules for proton and neutron is suggested, using their relation to the Bjorken sum rule. The results support an earlier conjecture, that the structure function g_T features a smooth…

High Energy Physics - Phenomenology · Physics 2009-11-07 Jacques Soffer , Oleg V. Teryaev

We consider the lightcone sum-rule (LCSR) description of the pion-photon transition form factor in combination with the renormalization group of QCD. The emerging scheme represents a certain version of Fractional Analytic Perturbation…

High Energy Physics - Phenomenology · Physics 2019-11-21 C. Ayala , S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis

We explicitly check quark-hadron duality to order $(m_b-m_c)\Lambda/m_b^2$ for $b \to c l\nu$ decays in the limit $m_b-m_c \ll m_b$ including ground state and orbitally excited hadrons. Duality occurs thanks to a new sum rule which…

High Energy Physics - Phenomenology · Physics 2016-09-06 A. Le Yaouanc , D. Melikhov , V. Morénas , L. Oliver , O. Pène , J. -C. Raynal

We discuss the nonleading, ``soft" contribution to the pion form factor at intermediate momentum transfer within operator product expansion approach. We argue, that the corresponding contribution can temporarily {\bf simulate} the leading…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. Zhitnitsky

Global fits to the shape of the first QCD Laplace sum rule exhibiting sensitivity to pion-resonance [$\Pi (1300)$] parameters are performed, leading to predictions for the pion-resonance mass and decay constant. Two scenarios are considered…

High Energy Physics - Phenomenology · Physics 2009-10-30 T. G. Steele , J. C. Breckenridge , M. Benmerrouche , V. Elias , A. H. Fariborz

The decay constants of the charmed heavy pseudoscalar D and D_s mesons are revisited within a recently developed novel approach to dispersive QCD sum rules which relies on an unprejudiced implementation of quark-hadron duality. The proposed…

High Energy Physics - Phenomenology · Physics 2012-05-31 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

The ALEPH data on the vector and axial-vector spectral functions, extracted from tau-lepton decays is used in order to test local and global duality, as well as a set of four QCD chiral sum rules. These are the Das-Mathur-Okubo sum rule,…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. A. Dominguez , K. Schilcher

Recent experimental data on tau decays are used to reconstruct the difference in hadronic spectral densities with vector and axial-vector quantum numbers. The saturation of Das-Mathur-Okubo and Weinberg sum rules is studied. Two methods of…

High Energy Physics - Phenomenology · Physics 2011-07-19 V. Kartvelishvili , M. Margvelashvili , G. Shaw

We extend a recent sum rule calculation for inelastic quarkonium-hadron interactions to realistic parton distribution functions; we also include finite target-mass corrections. Both modifications are shown to have no significant effect on…

High Energy Physics - Phenomenology · Physics 2009-07-09 D. Kharzeev , H. Satz , A. Syamtomov , G. Zinovjev

This work presents the results of our analysis of the accuracy of the pion form factor derived from the local-duality version of QCD sum rules.

High Energy Physics - Phenomenology · Physics 2011-06-15 Irina Balakireva , Wolfgang Lucha , Dmitri Melikhov

Using the results on the electromagnetic pion Form Factor (FF) obtained in the $O(\alpha_s)$ QCD sum rules with non-local condensates \cite{BPS09} we determine the effective continuum threshold for the local duality approach. Then we apply…

High Energy Physics - Phenomenology · Physics 2010-04-22 Alexander P. Bakulev

The $\gamma^\ast \gamma \to \pi^0$ transition form factor, $G(Q^2)$, is computed on the entire domain of spacelike momenta using a continuum approach to the two valence-body bound-state problem in relativistic quantum field theory: the…

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