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Related papers: On a QCD-based pion distribution amplitude vs. rec…

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We provide an in-depth analysis of the $\pi$ distribution amplitude in terms of two different Gegenbauer representations. Detailed predictions for the $\pi-\gamma$ transition form factor are presented, obtained with light-cone sum rules.…

High Energy Physics - Phenomenology · Physics 2014-12-01 N. G. Stefanis , S. V. Mikhailov , A. V. Pimikov

We discuss the end-point behavior of the pion distribution amplitude (DA) and calculate its slope using QCD sum rules with nonlocal condensates. This is done in terms of the standard derivative and also with the help of an "integral…

High Energy Physics - Phenomenology · Physics 2010-11-04 S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis

A method for calculating the pion structure function directly in terms of light-cone wave functions is suggested. Taking twist-2 and twist-4 pion light-cone wave functions into account, it is shown that the QCD sum rule prediction is in…

High Energy Physics - Phenomenology · Physics 2016-08-24 V. M. Belyaev , Mikkel B. Johnson

We derive the dependence of the leading-twist pion light-cone distribution amplitude (LCDA) on a parton momentum fraction $x$ by directly solving the dispersion relations for the moments with inputs from the operator product expansion (OPE)…

High Energy Physics - Phenomenology · Physics 2022-08-31 Hsiang-nan Li

Pion transition form factor for the process $\gamma*\gamma*\to \pi^0$ at space-like values of photon momenta is calculated within the effective quark-meson model with the interaction induced by instanton exchange. The leading and…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. E. Dorokhov

We present an improved calculation on the pionic twist-3 distribution amplitudes $\phi^{\pi}_{p}$ and $\phi^{\pi}_{\sigma}$, which are studied within the QCD sum rules. By adding all the uncertainties in quadrature, it is found that…

High Energy Physics - Phenomenology · Physics 2011-02-18 Tao Zhong , Xing-Gang Wu , Jia-Wei Zhang , Yun-Qing Tang , Zhen-Yun Fang

Photon distribution amplitudes up to twist four are calculated within the nonlocal chiral quark model with a simple pole ansatz for momentum dependence of the constituent quark mass. Calculations are performed using modified electromagnetic…

High Energy Physics - Phenomenology · Physics 2010-06-23 Piotr Kotko , Michal Praszalowicz

Recent BaBaR data on the pion transition form factor, whose Q^2 dependence is much steeper then predicted by asymptotic Quantum Chromodynamics (QCD), have caused a renewed interest in its theoretical description. We present here a formalism…

High Energy Physics - Phenomenology · Physics 2010-12-09 S. Noguera , V. Vento

The leading-twist distribution amplitude for the longitudinal rho-meson was studied using QCD Sum Rules with nonlocal condensates and a spectral density which includes next-to-leading order radiative corrections. The obtained profile is…

High Energy Physics - Phenomenology · Physics 2014-03-24 A. V. Pimikov , S. V. Mikhailov , N. G. Stefanis

A method is explained through which a pointwise accurate approximation to the pion's valence-quark distribution amplitude (PDA) may be obtained from a limited number of moments. In connection with the single nontrivial moment accessible in…

Nuclear Theory · Physics 2015-06-16 I. C. Cloët , L. Chang , C. D. Roberts , S. M. Schmidt , P. C. Tandy

In this paper, we study the pion leading-twist distribution amplitude $\phi_{2;\pi}(x,\mu)$ by improving the traditional light-cone harmonic oscillator model within the reconstruction of the function $\varphi_{2;\pi}(x)$. In order to…

High Energy Physics - Phenomenology · Physics 2021-07-28 Tao Zhong , Zhi-Hao Zhu , Hai-Bing Fu , Xing-Gang Wu , Tao Huang

We discuss the pion and kaon distribution amplitudes up to twist-3 in the context of the random instanton vacuum (RIV). We construct explicitly the pertinent quasi-pion and quasi-kaon distributions in the RIV, and analyze them in leading…

High Energy Physics - Phenomenology · Physics 2022-01-12 Arthur Kock , Ismail Zahed

A global fit to the data from different collaborations (CELLO, CLEO, BaBar) on the pion-photon transition form factor is carried out using light-cone sum rules. The analysis includes the next-to-leading QCD radiative corrections and the…

High Energy Physics - Phenomenology · Physics 2012-01-17 A. P. Bakulev , S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis

We study the pion leading-twist distribution amplitude (DA) within the framework of SVZ sum rules under the background field theory. To improve the accuracy of the sum rules, we expand both the quark propagator and the vertex $(z\cdot…

High Energy Physics - Phenomenology · Physics 2014-07-21 Tao Zhong , Xing-Gang Wu , Zhi-Gang Wang , Tao Huang , Hai-Bing Fu , Hua-Yong Han

Twist-3 distribution amplitudes of the pion and kaon are studied in this paper. We calculate the fist several moments for the twist-3 distribution amplitudes (\phi_{p,\sigma}^\pi and \phi_{p,\sigma}^K) of the pion and kaon by applying the…

High Energy Physics - Phenomenology · Physics 2009-01-07 Tao Huang , Ming-Zhen Zhou , Xing-Hua Wu

We present a systematic study of twist-3 light-cone distribution amplitudes of vector mesons in QCD, which is based on conformal expansion. A complete set of distribution amplitudes is constructed for \rho, \omega, K^* and \phi mesons,…

High Energy Physics - Phenomenology · Physics 2009-10-31 Kazuhiro Tanaka

We present a direct lattice QCD calculation of the $x$-dependence of the pion distribution amplitude (DA), which is performed using the quasi-DA in large momentum effective theory on a domain-wall fermion ensemble at physical quark masses…

High Energy Physics - Lattice · Physics 2024-07-29 Ethan Baker , Dennis Bollweg , Peter Boyle , Ian Cloët , Xiang Gao , Swagato Mukherjee , Peter Petreczky , Rui Zhang , Yong Zhao

We study the non-forward matrix elements of twist-2 QCD light-ray operators and their representations in terms of skewed and double distributions, considering the pion as well as the nucleon. We point out the importance of explicitly…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. V. Polyakov , C. Weiss

In this paper, we make a detailed discussion on the $\eta$ and $\eta'$-meson leading-twist light-cone distribution amplitude $\phi_{2;\eta^{(\prime)}}(u,\mu)$ by using QCD sum rules approach under the background field theory. Taking both…

High Energy Physics - Phenomenology · Physics 2022-01-11 Dan-Dan Hu , Hai-Bing Fu , Tao Zhong , Long Zeng , Wei Cheng , Xing-Gang Wu

We analyze the accuracy of the pion elastic form factor predicted by a local-duality (LD) version of dispersive sum rules. To probe the precision of this theoretical approach, we adopt potential models with interactions that involve both…

High Energy Physics - Phenomenology · Physics 2015-03-19 Irina Balakireva , Wolfgang Lucha , Dmitri Melikhov