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Related papers: New results on Pionic Twist-3 Distribution Amplitu…

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We analyze the spectrum of two- and three-pion states of maximal isospin obtained recently for isosymmetric QCD with pion mass $M\approx 200\;$MeV in Ref. [1]. Using the relativistic three-particle quantization condition, we find $\sim 2…

High Energy Physics - Lattice · Physics 2021-03-16 Tyler D. Blanton , Fernando Romero-López , Stephen R. Sharpe

We revisit light-cone sum rules with pion distribution amplitudes to determine the full set of local $B \to \pi$ form factors. To this end, we determine all duality threshold parameters from a Bayesian fit for the first time. Our results,…

High Energy Physics - Phenomenology · Physics 2021-07-21 Domagoj Leljak , Blaženka Melić , Danny van Dyk

This thesis examines the applications and determinations of meson light-cone distribution amplitudes. The investigation of such processes, in the context of $B$ physics, provides one with a rich and extensive way of determining the Standard…

High Energy Physics - Phenomenology · Physics 2007-10-25 Gareth Warren Jones

In my talk I discuss the theoretical and experimental status of the pion distribution amplitude (DA). I show that the QCD sum rule method with nonlocal condensates (NLC) for the pion DA gives us admissible sets (bunches) of DAs for each…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander P. Bakulev

QCD sum rules are used to calculate the $q^2$ dependence of the $\pi NN$ coupling $g_{\pi NN} (q^2)$ in the spacelike region $0.5 \ {\mbox{GeV}}^2 \lesssim q^2 \lesssim 1.5\ {\mbox{GeV}}^2$. We study the Borel sum rule for the three point…

Nuclear Theory · Physics 2008-11-26 Thomas Meissner

We discuss what can be learned about the shape of the pion distribution amplitude from the form factor for gamma* gamma(*) to pi transitions.

High Energy Physics - Phenomenology · Physics 2007-05-23 Carsten Vogt

The chiral expansion of the $\pi\pi$ amplitude to the order of two loops was expressed in terms of six independent parameters in a previous paper: four of these are shown here to satisfy sum rules. Their derivation, where crossing symmetry…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Knecht , B. Moussallam , J. Stern , N. Fuchs

Light-cone sum rules for the $\Lambda_b \to p, \Lambda$ transition form factors are derived from the correlation functions expanded by the twist of the distribution amplitudes of $\Lambda_b$ baryon. In terms of the $\Lambda_b$ three-quark…

High Energy Physics - Phenomenology · Physics 2009-10-29 Yu-Ming Wang , Yue-Long Shen , Cai-Dian Lu

Based on the scenario that the $K_0^\ast(1430)$ is viewed as the ground state of $s\bar{q}$ or $q\bar{s}$, we study the $K_0^\ast(1430)$ leading-twist distribution amplitude (DA) $\phi_{2;K_0^\ast}(x,\mu)$ with the QCD sum rules in the…

High Energy Physics - Phenomenology · Physics 2023-08-02 Dong Huang , Tao Zhong , Hai-Bing Fu , Zai-Hui Wu , Xing-Gang Wu , Hong Tong

In the paper, we derive the $\xi$-moments $\langle\xi_{2;b_1}^{n;\|}\rangle$ of the longitudinal leading-twist distribution amplitude $\phi_{2;b_1}^{\|}$ for $^1P_1$-state $b_1(1235)$-meson by using the QCD sum rules under the background…

High Energy Physics - Phenomenology · Physics 2025-04-02 Long Zeng , Xing-Gang Wu , Dan-Dan Hu , Hai-Bing Fu , Tao Zhong

We discuss the status of the pion distribution amplitude (DA) from analyzing the CLEO experimental data in the context of QCD sum-rule techniques and QCD perturbation theory at the NLO accuracy. The constraints extracted this way for the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander P. Bakulev , S. V. Mikhailov , N. G. Stefanis

The $\eta^{(\prime)}$-mesons in the quark-flavor basis are mixtures of two mesonic states $|\eta_{q}\rangle=|\bar u u+\bar d d\rangle/\sqrt 2$ and $|\eta_{s}\rangle=|\bar s s\rangle$. In the previous work, we have made a detailed study on…

High Energy Physics - Phenomenology · Physics 2024-01-10 Dan-Dan Hu , Xing-Gang Wu , Hai-Bing Fu , Tao Zhong , Zai-Hui Wu , Long Zeng

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

Uncertainty in the PQCD calculation of B decays is investigated in $B\to \pi$, $B\to D$ transition form factors and $B\to D\pi$ decay amplitudes. $B$ meson distributionamplitude dependence is studied by taking three kinds of distribution…

High Energy Physics - Phenomenology · Physics 2008-11-26 Takeshi Kurimoto

We compute all kaon and pion parton distribution amplitudes (PDAs) to twist-three and find that only the pseudotensor PDA can reasonably be approximated by its conformal limit expression. At terrestrially accessible energy scales, the…

Nuclear Theory · Physics 2015-04-06 Chao Shi , Chen Chen , Lei Chang , Craig D. Roberts , Sebastian M. Schmidt , Hong-Shi Zong

The shape of hadronic distribution amplitudes (DAs) is a critical issue for the perturbative QCD of hard exclusive processes. Recent CLEO data on gamma gamma* -> pi^0 form factor clearly favor a pion DA close to the asymptotic form. We…

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

We derive a set of light-cone sum rules relating the $S$-wave $B\to K \pi$ hadronic form factors to the $B$-meson light-cone distribution amplitudes (LCDAs), taking into account the complete set of LCDAs up to and including twist four.…

High Energy Physics - Phenomenology · Physics 2023-06-21 Sébastien Descotes-Genon , Alexander Khodjamirian , Javier Virto , K. Keri Vos

We prove collinear factorization theorem for the process $\pi\gamma^*\to\pi$ at the twist-3 level in the covariant gauge by means of the Ward identity, concentrating on the two-parton case. It is shown that soft divergences cancel and…

High Energy Physics - Phenomenology · Physics 2011-09-13 Makiko Nagashima , Hsiang-nan Li

We present the first systematic study of higher-twist light-cone distribution amplitudes of the nucleon in QCD. We find that the valence three-quark state is described at small transverse separations by eight independent distribution…

High Energy Physics - Phenomenology · Physics 2016-09-06 V. Braun , R. J. Fries , N. Mahnke , E. Stein

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