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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…

High Energy Physics - Phenomenology · Physics 2011-06-21 A. V. Belitsky , D. Mueller

We present a systematic study of twist-3 light-cone distribution amplitudes of vector mesons in QCD, which is based on conformal expansion. A complete set of distribution amplitudes is constructed for \rho, \omega, K^* and \phi mesons,…

High Energy Physics - Phenomenology · Physics 2009-10-31 Kazuhiro Tanaka

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

Anomalous dimensions of Wilson operators with large Lorentz spin scale logarithmically with the spin. Recent multi-loop QCD calculations of twist-two anomalous dimensions revealed the existence of interesting structure of the subleading…

High Energy Physics - Theory · Physics 2008-11-26 B. Basso , G. P. Korchemsky

We study single spin asymmetries at one-loop accuracy in Drell-Yan processes in which one of the initial hadrons is transversely polarized. The spin-dependent part of differential cross-sections can be factorized with various hadronic…

High Energy Physics - Phenomenology · Physics 2017-04-12 A. P. Chen , J. P. Ma , G. P. Zhang

We discuss 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…

High Energy Physics - Phenomenology · Physics 2007-05-23 Y. Koike , N. Nishiyama

A complete set of asymptotic three particle light cone distribution amplitudes of twist 3 and 4 for a transversely polarized massive vector meson built out of massless current quarks is constructed. The method used is based on a modified…

High Energy Physics - Phenomenology · Physics 2009-10-30 Igor Halperin

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…

High Energy Physics - Phenomenology · Physics 2009-10-28 Yuji Koike , N. Nishiyama

Conformal symmetry of QCD is restored at the Wilson-Fisher critical point in noninteger $4-2\epsilon$ space-time dimensions. Correlation functions of multiplicatively renormalizable operators with different anomalous dimensions at the…

High Energy Physics - Phenomenology · Physics 2022-09-07 V. M. Braun , K. G. Chetyrkin , A. N. Manashov

We introduce chiral-even and chiral-odd meson wave functions as vacuum-to-meson matrix elements of bilocal quark operators with well-defined (geometric) twist. Thereby, we achieve a Lorentz invariant classification of these distributions…

High Energy Physics - Phenomenology · Physics 2009-10-31 Markus Lazar

We present a systematic study of twist-4 light-cone distribution amplitudes of vector mesons in QCD, which is based on conformal expansion. The structure of meson mass corrections is studied in detail. A complete set of distribution…

High Energy Physics - Phenomenology · Physics 2009-10-31 Patricia Ball , V. M. Braun

Future high luminosity polarized deep--inelastic scattering experiments will improve both the knowledge of the spin sub--structure of the nucleons and contribute further to the precision determination of the strong coupling constant, as…

High Energy Physics - Phenomenology · Physics 2022-02-16 J. Blümlein , P. Marquard , C. Schneider , K. Schönwald

Two-loop corrections for the <VVA> correlator of the singlet axial and vector currents in QCD are calculated in the chiral limit for arbitrary momenta. Explicit calculations confirm the non-renormalization theorems derived recently by…

High Energy Physics - Phenomenology · Physics 2009-11-11 F. Jegerlehner , O. V. Tarasov

We investigate the renormalization of the twist-3 operators which are relevant for the spin-dependent structure function $g_{2}(x, Q^{2})$. We derive the anomalous dimension for the non-singlet part by calculating the off-shell Green's…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jiro Kodaira , Yoshiaki Yasui , Kazuhiro Tanaka , Tsuneo Uematsu

Leading-twist operators have a remarkable property that their divergence vanishes in a free theory. Recently it was suggested that this property can be used for an alternative technique to calculate anomalous dimensions of leading-twist…

High Energy Physics - Theory · Physics 2015-09-02 A. N. Manashov , M. Strohmaier

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

Anomalous superconformal Ward identities and commutator algebra in N = 1 super-Yang-Mills theory give rise to constraints between the QCD special conformal anomalies of conformal composite operators. We evaluate the superconformal anomalies…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Belitsky , D. Müller

Anomalous dimensions of leading-twist operators in QCD play an important role in precision predictions for high-energy processes, since they govern the scale evolution of parton distributions. Their analytic structure as a function of spin…

High Energy Physics - Theory · Physics 2026-02-17 Alexander N. Manashov , Sven-Olaf Moch , Leonid A. Shumilov

We present the result of a calculation for the third and fourth moments of the non-singlet four-loop anomalous dimension of Wilson twist-2 operators in QCD with full color and flavour structures. We discuss also a general expressions for…

High Energy Physics - Phenomenology · Physics 2014-12-17 V. N. Velizhanin

Using chiral symmetry we investigate the leading SU(3) violation in the complete set of quark twist-3 light-cone distribution functions of the pion, kaon, and eta. It is shown that terms non-analytic in the quark masses do not affect the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jiunn-Wei Chen , Hung-Ming Tsai , Ke-Chuan Weng
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