ERBL and DGLAP kernels for transversity distributions. Two-loop calculations in covariant gauge

Abstract

The results of a two-loop calculation in the Feynman gauge of both the DGLAP and the ERBL evolution kernels for transversely polarized distributions are presented. The structure of these evolution kernels is discussed in detail. In addition, the effect of the two-loop evolution on the distribution amplitude of a twist-2 transversely polarized meson is explored.

12 pages, 1 figure and 2 tables

References in corpus (10)

• Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
• Exclusive Semileptonic and Rare B-Meson Decays in QCD
• Use and Misuse of QCD Sum Rules in Heavy-to-light Transitions: the Decay $B\to \rho e\nu$ Reexamined
• Next-to-leading Order Evolution of Transversity Distributions and Soffer's Inequality
• The Evolution of the Pion Distribution Amplitude in Next-to-Leading Order
• Next-to-leading order Q^2-evolution of the transversity distribution h_1(x, Q^2)
• Two-loop anomalous dimensions for the structure function h1
• NLO evolution kernels for skewed transversity distributions
• New shapes of light-cone distributions of the transversely polarized ρ-mesons
• Renormalization-group improved evolution of the meson distribution amplitude at the two-loop level

Cited by in corpus (10)

• Deeply virtual Compton scattering at small x_B and the access to the GPD H
• Subleading-power corrections to the radiative leptonic $B\to \gamma \ell \nu$ decay in QCD
• Transition form factors of the pion in light-cone QCD sum rules with next-to-next-to-leading order contributions
• Twist-2 matching of transverse momentum dependent distributions
• Generalized Parton Distributions: visions, basics, and realities
• Subleading power corrections to the pion-photon transition form factor in QCD
• Transverse momentum dependent transversely polarized distributions at next-to-next-to-leading-order
• Tomography of the Rho meson in the QCD Instanton Vacuum: Transverse Momentum Dependent Parton Distribution Functions
• Correlators of vector, tensor, and scalar composite vertices of order $O({\alpha }_s^2{\beta }_0)$
• Off-forward anomalous dimensions of non-singlet transversity operators