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It is shown that twist-3 fragmentation functions in the large-$N_c$ limit of QCD obey the DGLAP evolution equations. The anomalous dimensions are found explicitly. The Gribov-Lipatov reciprocity is violated at the twist-3 level in the…

高能物理 - 唯象学 · 物理学 2009-10-30 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…

高能物理 - 唯象学 · 物理学 2009-10-28 I. I. Balitsky , V. M. Braun , Y. Koike , K. Tanaka

We derive the complete set of evolutions of chirality-odd twist-3 fragmentation functions at one-loop level. There are totally nine real twist-3 fragmentation functions, among which seven are independent. The renormalization-scale…

高能物理 - 唯象学 · 物理学 2017-07-21 J. P. Ma , G. P. Zhang

We address the problem of solution of the QCD three-particle evolution equations which govern the Q-dependence of the chiral-even quark-gluon-quark and three-gluon correlators contributing to a number of asymmetries at leading order and the…

高能物理 - 唯象学 · 物理学 2014-11-17 A. V. Belitsky

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…

高能物理 - 唯象学 · 物理学 2017-08-23 A. V. Belitsky

We study the scale dependence of the twist-3 quark-gluon parton distributions using the observation that in the multi-color limit the corresponding QCD evolution equations possess an additional integral of motion and turn out to be…

高能物理 - 唯象学 · 物理学 2023-06-29 S. E. Derkachov , G. P. Korchemsky , A. N. Manashov

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…

高能物理 - 唯象学 · 物理学 2007-05-23 I. I. Balitsky , V. M. Braun , Y. Koike , K. Tanaka

We study the QCD evolution for the twist-three quark-gluon correlation functions associated with the transverse momentum odd quark distributions. Different from that for the leading twist quark distributions, these evolution equations…

高能物理 - 唯象学 · 物理学 2009-07-09 Jian Zhou , Feng Yuan , Zuo-Tang Liang

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…

高能物理 - 唯象学 · 物理学 2009-10-30 A. V. Belitsky , D. Muller

We present the third-order contributions to the quark-gluon and gluon-quark timelike splitting functions for the evolution of fragmentation functions in perturbative QCD. These quantities have been derived by studying physical evolution…

高能物理 - 唯象学 · 物理学 2015-05-28 A. A. Almasy , A. Vogt , S. Moch

We constructed two sets of twist-3 correlation functions that are responsible for generating the novel single transverse-spin asymmetry in the QCD collinear factorization approach. We derive evolution equations for these universal…

高能物理 - 唯象学 · 物理学 2009-02-26 Zhong-Bo Kang , Jian-Wei Qiu

We study the $Q^2$ dependence of the chiral-odd twist-3 distribution $e(x,Q^2)$.The anomalous dimension matrix for the corresponding twist-3 operators is calculated in the one-loop level. This study completes the calculation of the…

高能物理 - 唯象学 · 物理学 2009-10-28 Yuji Koike , N. Nishiyama

We present the numerical solution of the one-loop QCD evolution equation for the genuine twist-three part of the orbital angular momentum (OAM) distributions of quarks and gluons inside a longitudinally polarized nucleon. This is based on…

高能物理 - 唯象学 · 物理学 2019-09-30 Yoshitaka Hatta , Xiaojun Yao

We unravel the structure of the spectrum of the anomalous dimensions of the quark-gluon twist-3 operators which are responsible for the multiparton correlations in hadrons and enter as a leading contribution to several physical cross…

高能物理 - 唯象学 · 物理学 2009-10-31 A. V. Belitsky

We use Lorentz invariance and the QCD equations of motion to study the evolution of functions that appear at leading order in a 1/Q expansion in azimuthal asymmetries. This includes the evolution equation of the Collins fragmentation…

高能物理 - 唯象学 · 物理学 2009-11-07 A. A. Henneman , Daniel Boer , P. J. Mulders

Employing the operator algebra of the conformal group and the conformal Ward identities, we derive the constraints for the anomalies of dilatation and special conformal transformations of the local twist-2 operators in Quantum…

高能物理 - 唯象学 · 物理学 2011-06-21 A. V. Belitsky , D. Mueller

We use Lorentz invariance and the QCD equations of motion to study the evolution of functions that appear at leading (zeroth) order in a 1/Q expansion in azimuthal asymmetries. This includes the evolution equation of the Collins…

高能物理 - 唯象学 · 物理学 2015-06-25 P. J. Mulders , A. A. Henneman , D. Boer

We derive the complete twist-3 single-spin-dependent cross section for semi-inclusive DIS, $ep^\uparrow\to e\pi X$, associated with the complete set of the twist-3 quark-gluon correlation functions in the transversely polarized nucleon,…

高能物理 - 唯象学 · 物理学 2009-08-24 Yuji Koike , Kazuhiro Tanaka

We investigate the $Q^{2}$-evolution of the chiral-odd spin-dependent parton distribution $h_{L}(x, Q^{2})$ relevant for the polarized Drell-Yan processes. The results are obtained in the leading logarithmic order in the framework of the…

高能物理 - 唯象学 · 物理学 2009-09-25 Y. Koike , K. Tanaka

The twist three contributions to the $Q^2$-evolution of the spin-dependent structure function $g_2(x_{Bj},Q^2)$ are considered in the non-local operator product approach. Defining appropriate twist three distribution function we derive…

高能物理 - 唯象学 · 物理学 2007-05-23 B. Geyer , D. Müller , D. Robaschik
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