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We have calculated the second moment of the pion light-cone distribution amplitude using two flavors of dynamical (clover) fermions on lattices of different volumes, lattice spacings between $0.06 \, \mathrm {fm}$ and $0.08 \, \mathrm {fm}$…

High Energy Physics - Lattice · Physics 2015-10-27 V. M. Braun , S. Collins , M. Göckeler , P. Pérez-Rubio , A. Schäfer , R. W. Schiel , A. Sternbeck

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

We present preliminary results from the QCDSF/UKQCD collaborations for the second moment of the pion's distribution amplitude with two flavours of dynamical fermions. We use nonperturbatively determined renormalisation coefficients to…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , D. Pleiter , P. E. L. Rakow , A. Schäfer , G. Schierholz , W. Schroers , J. M. Zanotti

We compute the pion light-cone wave function and the pion quark distribution amplitude in the Nambu-Jona-Lasinio model. We use the Pauli-Villars regularization method and as a result the distribution amplitude satisfies proper normalization…

High Energy Physics - Phenomenology · Physics 2009-11-07 Enrique Ruiz Arriola , Wojciech Broniowski

The lightest meson, the pion, features two faces -- one is the elementary Goldstone boson of QCD and the other is the structured bound state of quarks and gluons. To accommodate both in a single light-front wave function in the valence…

High Energy Physics - Theory · Physics 2022-12-05 Yang Li , Pieter Maris , James P. Vary

In this paper, we investigate the twist-2 and twist-3 light-cone distribution amplitudes (LCDAs) of vector mesons within the light-front quark model, and the $n$th Gegenbauer moment $a_n(\mu)$, $\xi$-moment $\langle…

High Energy Physics - Phenomenology · Physics 2026-03-24 Xiao-Nan Li , Shuai Xu , Qin Chang

We present a systematic study of the leading- and next-to-leading-twist light-cone distribution amplitudes (LCDAs) of ground-state pseudoscalar and vector quarkonium within the light-front quark model (LFQM). By implementing the replacement…

High Energy Physics - Phenomenology · Physics 2026-03-23 Shuai Xu , Xiao-Nan Li , Jin-Zhong Han , Bai-Hui Cheng , Li-Li Chen , Qin Chang

In the paper, we investigate the moments $\langle\xi_{2;a_1}^{\|;n}\rangle$ of the axial-vector $a_1(1260)$-meson distribution amplitude by using the QCD sum rules approach under the background field theory. By considering the vacuum…

High Energy Physics - Phenomenology · Physics 2022-07-12 Dan-Dan Hu , Hai-Bing Fu , Tao Zhong , Zai-Hui Wu , Xing-Gang Wu

The $B^*B\pi$ and $D^*D\pi$ couplings have previously been derived from a QCD light-cone sum rule in leading order. Here, we describe the calculation of the $O(\alpha_s)$ correction to the twist 2 term of this sum rule. The result is used…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Khodjamirian , R. Rückl , S. Weinzierl , O. Yakovlev

We analyze $F_\pi(Q^2)$ and $F_{P\gamma}(Q^2)$, $P=\pi,\eta,\eta'$, within the local-duality (LD) version of QCD sum rules, which allows one to obtain predictions for hadron form factors in a broad range of momentum transfers. To probe the…

High Energy Physics - Phenomenology · Physics 2012-02-14 Irina Balakireva , Wolfgang Lucha , Dmitri Melikhov

In this paper, we calculate the $B\to D$ transition form factors (TFFs) within the light-cone sum rules (LCSR) and predict the ratio $\mathcal{R}(D)$. More accurate $D$-meson distribution amplitudes (DAs) are essential to get a more…

High Energy Physics - Phenomenology · Physics 2018-12-05 Tao Zhong , Yi Zhang , Xing-Gang Wu , Hai-Bing Fu , Tao Huang

We discuss the evaluation of the transition form factor (TFF) $F^{\gamma*\gamma\pi^0}(Q^2)$ by means of QCD theory and by state-space reconstruction from topological data analysis. We first calculate this quantity in terms of quark-gluon…

High Energy Physics - Phenomenology · Physics 2019-06-21 N. G. Stefanis

We present a novel framework for analyzing four-body semileptonic weak decays, performing the first high-twist analysis of the $D_s \to \left[ \pi\pi \right]_{\rm S}$ form factors using light-cone distribution amplitudes for the isoscalar…

High Energy Physics - Phenomenology · Physics 2026-02-04 Shan Cheng , Ling-yun Dai , Jian-ming Shen , Shu-lei Zhang

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 present an improved calculation of all B -> light pseudoscalar formfactors from light-cone sum rules, including one-loop radiative corrections to twist-2 and twist-3 contributions, and leading order twist-4 corrections. The total…

High Energy Physics - Phenomenology · Physics 2017-08-23 Patricia Ball , Roman Zwicky

A state-of-the-art analysis of the pion-photon transition form factor is presented based on an improved theoretical calculation that includes the effect of a finite virtuality of the quasi-real photon in the method of light-cone sum rules.…

High Energy Physics - Phenomenology · Physics 2013-05-31 N. G. Stefanis , A. P. Bakulev , S. V. Mikhailov , A. V. Pimikov

We describe the present status of the pion distribution amplitude (DA) as it originated from several sources: (i) a nonperturbative approach, based on QCD sum rules with nonlocal condensates, (ii) an O(\alpha_s) QCD analysis of the CLEO…

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

We calculate the $D^*D\pi$ and $B^*B\pi$ couplings using QCD sum rules on the light-cone. In this approach, the large-distance dynamics is incorporated in a set of pion wave functions. We take into account two-particle and three-particle…

High Energy Physics - Phenomenology · Physics 2014-11-17 V. M. Belyaev , V. M. Braun , A. Khodjamirian , R. Rückl

We present a systematic study of twist three light-cone distribution amplitudes of vector mesons in QCD, which is based on conformal expansion and takes into account meson and quark mass corrections. A complete set of distribution…

High Energy Physics - Phenomenology · Physics 2010-01-07 Patricia Ball , V. M. Braun , Y. Koike , K. Tanaka

We study the pion form factor in a broad range of spacelike momentum transfers within the local-duality version of QCD sum rules. We make use of the recently calculated two-loop double spectral density of the $<AVA>$ correlator including…

High Energy Physics - Phenomenology · Physics 2008-11-26 Victor Braguta , Wolfgang Lucha , Dmitri Melikhov
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