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

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B-meson light-cone distribution amplitudes are discussed in these lectures in the framework of HQET. The evolution equation for the leading-twist distribution amplitude is derived in one-loop approximation. QCD sum rules for distribution…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. G. Grozin

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 $B$-meson light-cone distribution amplitude is a central quantity governing non-perturbative hadronic dynamics in exclusive $B$ decays. We show that the information needed to describe such processes at leading power in $\Lambda_{\rm…

High Energy Physics - Phenomenology · Physics 2020-11-04 Anne Mareike Galda , Matthias Neubert

The Lange-Neubert evolution equation describes the scale dependence of the wave function of a meson built of an infinitely heavy quark and light antiquark at light-like separations, which is the hydrogen atom problem of QCD. It has numerous…

High Energy Physics - Phenomenology · Physics 2015-06-18 V. M. Braun , A. N. Manashov

In this paper, we study the leading-twist distribution amplitude (DA) of the heavy pseudoscalars (HPs), such as $\eta_c$, $\eta_b$ and $B_c$, within the QCD theory in the background fields. New sum rules up to dimension-six condensates for…

High Energy Physics - Phenomenology · Physics 2015-09-21 Tao Zhong , Xing-Gang Wu , Tao Huang

Due to the significant difference between the experimental measurements and the theoretical predictions of standard model (SM) for the value of $\mathcal{R}(D)$ of the semileptonic decay $B\to D\ell\bar{\nu}_{\ell}$, people speculate that…

High Energy Physics - Phenomenology · Physics 2023-04-07 Tao Zhong , Dong Huang , Hai-Bing Fu

In this paper, we study the properties of the twist-3 distribution amplitude (DA) of the heavy pseudo-scalars such as $\eta_c$, $B_c$ and $\eta_b$. New sum rules for the twist-3 DA moments $\left<\xi^n_P\right>_{\rm HP}$ and…

High Energy Physics - Phenomenology · Physics 2016-10-12 Tao Zhong , Xing-Gang Wu , Tao Huang , Hai-Bing Fu

Based on QCD conformal partial wave expansion to leading order conformal spin accuracy, we present the light-cone distribution amplitudes (DAs) of $\Sigma$ and $\Lambda$ baryons up to twist 6. It is concluded that fourteen ndependent DAs…

High Energy Physics - Phenomenology · Physics 2009-03-24 Yong-Lu Liu , Ming-Qiu Huang

We evaluate the complete leading-order evolution kernels for the chiral-odd twist-3 distributions $e(x)$ and $\widetilde h_L(x)$ of the nucleon. We establish the connection between the evolution equations in light-cone position and…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. V. Belitsky , D. Muller

We discuss QCD evolution equations for two and three particle correlation functions of quarks and gluon fields in a hadron which describe development of the momentum distribution of a parton system with a change of the wave length of a…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. V. Belitsky

We prove that the twist-3 chiral-odd parton distributions obey simple Gribov-Lipatov-Altarelli-Parisi evolution equations in the limit $N_c\to\infty$ and give analytic results for the corresponding anomalous dimensions. To this end we…

High Energy Physics - Phenomenology · Physics 2009-10-28 I. I. Balitsky , V. M. Braun , Y. Koike , K. Tanaka

We construct the evolution equations for the twist-3 chiral-odd spin independent fracture functions in QCD. The Gribov-Lipatov reciprocity relation is fulfilled at the one-loop level for the quasi-partonic two-particle cut vertices only. It…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. V. Belitsky , E. A. Kuraev

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

Working in the light-cone gauge, we find a simple procedure to calculate the autonomous one-loop Q^2 evolution of the twist-three part of the nucleon g_T(x, Q^2) structure function in the large-N_c limit. Our approach allows us to…

High Energy Physics - Phenomenology · Physics 2011-09-13 Xiangdong Ji , Jonathan Osborne

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

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 summarize a recent calculation of the evolution kernels of the two-particle B-meson distribution amplitudes $\phi_+$ and $\phi_-$ taking into account three-particle contributions. In addition to a few phenomenological comments, we give…

High Energy Physics - Phenomenology · Physics 2009-04-30 S. Descotes-Genon , N. Offen

The pion electromagnetic form factor is calculated within the QCD light-cone sum rule method and using a renormalon model for the higher twist distribution amplitudes (DAs). The theoretical predictions are compared with the experimental…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. S. Agaev

We investigate the twist-3 light-cone distribution amplitudes (LCDAs) of the scalar mesons $a_0$, $K^{\ast}_0$ and $f_0$ within the QCD sum rules. The QCD sum rules are improved by a consistent treatment of the sizable $s$-quark mass…

High Energy Physics - Phenomenology · Physics 2013-08-13 Hua-Yong Han , Xing-Gang Wu , Hai-Bing Fu , Qiong-Lian Zhang , Tao Zhong

We investigate the B meson light-cone distribution amplitudes in the heavy-quark limit which are relevant for the QCD factorization approach for the exclusive B meson decays. We derive exact relations between two- and three-particle…

High Energy Physics - Phenomenology · Physics 2010-11-19 Hiroyuki Kawamura , Jiro Kodaira , Cong-Feng Qiao , Kazuhiro Tanaka