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Related papers: Evolution equation for the higher-twist B-meson di…

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The pion distribution amplitude (DA) can be related to the fundamental QCD Green's functions as a function of the quark self-energy and the quark-pion vertex, which in turn are associated with the pion wave function through the…

High Energy Physics - Phenomenology · Physics 2015-06-23 E. G. S. Luna , A. A. Natale

The improved light-cone distribution amplitudes (LCDAs) of the $\Lambda$ baryon are examined on the basis of the QCD conformal partial wave expansion approach. The calculations are carried out to the next-to-leading order of conformal spin…

High Energy Physics - Phenomenology · Physics 2014-09-16 Yong-Lu Liu , Chun-Yu Cui , Ming-Qiu Huang

In this paper, we investigate the distribution amplitudes (DAs) of pseudoscalar mesons within the light-front quark model (LFQM), and the $n$-th Gegenbauer moment $a_n(\mu)$, $\xi$-moment $\langle \xi^n\rangle$ and transverse moment…

High Energy Physics - Phenomenology · Physics 2026-01-06 Xiao-Nan Li , Shuai Xu , Qin Chang

We construct an exact analytic solution of the revised small-$x$ helicity evolution equations derived recently. The equations we solve are obtained in the large-$N_c$ limit (with $N_c$ the number of quark colors) and are double-logarithmic…

High Energy Physics - Phenomenology · Physics 2023-07-25 Jeremy Borden

We construct an exact analytic solution of the revised small-$x$ helicity evolution equations derived recently. The equations we solve are obtained in the large-$N_c$ limit (with $N_c$ the number of quark colors) and are double-logarithmic…

High Energy Physics - Phenomenology · Physics 2023-07-19 Jeremy Borden , Yuri V. Kovchegov

We present a systematic study of the B meson light-cone distribution amplitudes which are relevant for the QCD factorization approach for the exclusive B meson decays. We construct representations for the quark-antiquark distribution…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hiroyuki Kawamura , Jiro Kodaira , Cong-Feng Qiao , Kazuhiro Tanaka

We describe a method of analytic evolution of distribution amplitudes (DA) that have singularities, such as non-zero values at the end-points of the support region, jumps at some points inside the support region and cusps. We illustrate the…

High Energy Physics - Phenomenology · Physics 2014-04-23 A. V. Radyushkin , A. Tandogan

We compute the gluon distribution in deep inelastic scattering at small x by solving numerically the angular ordering evolution equation. The leading order contribution, obtained by neglecting angular ordering, satisfies the BFKL equation.…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Bottazzi , G. Marchesini , G. P. Salam , M. Scorletti

We prove that the twist-3 chiral-odd parton distributions obey simple GLAP evolution equations in the limit $N_c\to\infty$ and give analytic formulae for the corresponding anomalous dimensions. The results are valid to O(1/N_{c}^2) accuracy…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. I. Balitsky , V. M. Braun , Y. Koike , K. Tanaka

We study the Lambda_QCD/M_B corrections from subleading shape functions in inclusive B-meson decays. We propose a natural and smooth interpolation from the endpoint region to the full phase space, and derive expressions for the triple…

High Energy Physics - Phenomenology · Physics 2014-11-18 Frank J. Tackmann

We study light-cone distribution amplitudes of heavy-light systems, such as a B-meson. By an explicit computation, we determine how two-parton distribution amplitudes mix with three-parton ones at one loop: \phi_+ is shown to mix only into…

High Energy Physics - Phenomenology · Physics 2009-05-29 S. Descotes-Genon , N. Offen

We explore the perturbative QCD corrections to the inclusive semileptonic decays of $B$ mesons. In inclusive $B$ decay processes the parton picture works well and the scaling feature manifests because the mass of $b$ quark is larger than…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kang Young Lee , Seungwon Baek

In this work we present a minimal parametrization of the light-cone distribution amplitudes of the baryon octet including higher twist contributions. Simultaneously we obtain the quark mass dependence of the amplitudes at leading one-loop…

High Energy Physics - Phenomenology · Physics 2015-11-19 Philipp Wein , Andreas Schäfer

We have presented a detailed study of twist-2 and twist-3 light-cone distribution amplitudes of $1^3P_1$ and $1^1P_1$ axial-vector mesons, based on QCD conformal partial wave expansion. Applying equations of motion, the twist-three…

High Energy Physics - Phenomenology · Physics 2010-10-08 Kwei-Chou Yang

A new analytical method of performing ERBL evolution is described. The main goal is to develop an approach that works for distribution amplitudes that do not vanish at the end points, for which the standard method of expansion in Gegenbauer…

High Energy Physics - Phenomenology · Physics 2015-05-30 Asli Tandogan , Anatoly V. Radyushkin

We revisit the $\rho$-meson longitudinal leading-twist distribution amplitude (DA) $\phi_{2;\rho}^\|$ by using the QCD sum rules approach within the background field theory. To improve the accuracy of the sum rules for its moments…

High Energy Physics - Phenomenology · Physics 2016-10-05 Hai-Bing Fu , Xing-Gang Wu , Wei Cheng , Tao Zhong

The recent progress in solution of the evolution equations of three particle hadron distribution amplitudes is reviewed.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Manashov

We compute the one-loop anomalous dimension for the light cone distribution function of a heavy quark and solve the corresponding evolution equation analytically. Some implications of the results for inclusive $B$ decays are discussed.

High Energy Physics - Phenomenology · Physics 2009-10-31 C. Balzereit , W. Kilian , T. Mannel

We recover in QCD an amazingly simple relationship between the anomalous dimensions, resummed through next-to-next-to-leading-logarithmic order, in the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations for the first Mellin…

High Energy Physics - Phenomenology · Physics 2017-02-13 Bernd A. Kniehl , Anatoly V. Kotikov

The twist-2 distribution amplitude of the $\phi$-meson has attracted considerable interest due to its unique properties. In this work, we construct the transverse leading-twist light-cone distribution amplitude $\phi_{2;\phi}^\bot(x,\mu_0)$…

High Energy Physics - Phenomenology · Physics 2025-10-07 Ya-Xiong Wang , Dan-Dan Hu , Wan-Bing Luo , Tao Zhong , Hai-Bing Fu