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Related papers: QCD Evolutions of Twist-3 Chirality-Odd Operators

200 papers

The transverse-momentum dependent quark distributions are studied in the limit of the large number of colors Nc. The leading orders of Nc are determined for all twist-2 distributions including the T-odd functions. The isospin structure of…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. V. Pobylitsa

We clarify the nonperturbative origin of the $\delta$-function singularity at $x = 0$ in the chiral-odd twist-3 distribution function $e(x)$ of the nucleon. We also compare a theoretical prediction for $e(x)$ based on the chiral quark…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. Wakamatsu , Y. Ohnishi

The question how the spin of the nucleon is distributed among its quark and gluon constituents is still a subject of intense investigations. Lattice QCD has progressed to provide information about spin fractions and orbital angular momentum…

High Energy Physics - Phenomenology · Physics 2012-08-15 M. Altenbuchinger , Ph. Hägler , W. Weise , E. M. Henley

We define a number of quark fragmentation functions for spin-0, -1/2 and -1 hadrons, and classify them according to their twist, spin and chirality. As an example of their applications, we use them to analyze semi-inclusive deep-inelastic…

High Energy Physics - Phenomenology · Physics 2009-10-22 Xiangdong Ji

We argue that the evolution kernel for the scale-dependence of the $B$-meson light-cone distribution amplitude (LCDA) can be written, to all orders in perturbation theory, in terms of the generator of special conformal transformations in a…

High Energy Physics - Phenomenology · Physics 2019-12-09 V. M. Braun , Yao Ji , A. N. Manashov

We develop a new theoretical framework for the description of leading twist light-cone baryon distribution amplitudes which is based on integrability of the helicity $\lambda=3/2$ evolution equation to leading logarithmic accuracy. A…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. M. Braun , S. E. Derkachov , G. P. Korchemsky , A. N. Manashov

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…

High Energy Physics - Phenomenology · Physics 2019-09-30 Yoshitaka Hatta , Xiaojun Yao

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

The anomalous dimensions of trilinear-quark operators are calculated at leading twist $t=3$ by diagonalizing the one-gluon exchange kernel of the renormalization-group type evolution equation for the nucleon distribution amplitude. This is…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Bergmann , W. Schroers , N. G. Stefanis

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…

High Energy Physics - Phenomenology · Physics 2009-02-26 Zhong-Bo Kang , Jian-Wei Qiu

We revisit the evolution of generalised parton distributions (GPDs) at the leading order in the strong coupling constant $\alpha_s$ for all of the twist-2 quark and gluon operators. We rederive the relevant one-loop evolution kernels,…

High Energy Physics - Phenomenology · Physics 2024-02-16 Valerio Bertone , Rafael F. del Castillo , Miguel G. Echevarria , Óscar del Río , Simone Rodini

We define in the framework of light-cone collinear factorization method, the chiral-odd generalized parton distributions (GPDs) of a pseudoscalar hadron (such as the $\pi^0$) up to twist 6. For that, we introduce the relevant matrix…

High Energy Physics - Phenomenology · Physics 2014-07-25 B. Pire , L. Szymanowski , S. Wallon

Parton evolution equations in QCD are controlled by the anomalous dimensions of gauge-invariant twist-two spin-$N$ quark and gluon operators. Under renormalization, these mix with gauge-variant operators of the same quantum numbers,…

High Energy Physics - Phenomenology · Physics 2024-12-11 G. Falcioni , F. Herzog , S. Moch , S. Van Thurenhout

We perform an extensive study of the scale dependence of flavor-singlet contributions to the structure function g_2(x,Q^2) in polarized deep-inelastic scattering. We find that the mixing between quark-antiquark-gluon and three-gluon twist-3…

High Energy Physics - Phenomenology · Physics 2014-11-17 V. M. Braun , G. P. Korchemsky , A. N. Manashov

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 factorization of quasi generalized quark distributions with twist-2 generalized parton distributions. We use an approach which is different than that used in literature. Using the approach we derive the factorization relations…

High Energy Physics - Phenomenology · Physics 2022-09-07 J. P. Ma , Z. Y. Pang , G. P. Zhang

Quarks and gluon, as quantum particles, are subjects to various effects that go beyond the naive parton picture and are not captured by ordinary parton densities. In this work, we investigate the twist-three parton distribution functions,…

High Energy Physics - Phenomenology · Physics 2025-11-07 Alexey Vladimirov , Guillermo Portela , Simone Rodini

Extending the work by Bukhvostov, Frolov, Lipatov and Kuraev (BFLK) on the renormalization of quasipartonic operators we derive a complete set of two-particle renormalization group kernels that enter QCD evolution equations to twist-four…

High Energy Physics - Phenomenology · Physics 2009-11-18 V. M. Braun , A. N. Manashov , J. Rohrwild

I shall present a rather pedagogical discussion of the transversity distributions in the quark-parton model and, in particular, the role of perturbative QCD corrections. Among the topics I shall discuss are: LO and NLO evolution, the Soffer…

High Energy Physics - Phenomenology · Physics 2008-11-26 Philip G. Ratcliffe

We consider modifications of the standard non-linear QCD evolution in an attempt to account for some of the missing ingredients discussed recently, such as correlations, discreteness in gluon emission and Pomeron loops. The evolution is…

High Energy Physics - Phenomenology · Physics 2008-11-26 N. Armesto , J. G. Milhano