Virtual photon fragmentation functions

Details Virtual photon fragmentation functions Virtual photon fragmentation functions

2000-12-31

arxiv.org/abs/hep-ph/0101004v2

Phys.Rev. D64 (2001) 074007

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 19 pages including 6 figures. An error in the first version has been corrected, and references updated

Scientific paper

10.1103/PhysRevD.64.074007

We introduce operator definitions for virtual photon fragmentation functions, which are needed for reliable calculations of Drell-Yan transverse momentum ($Q_T$) distributions when $Q_T$ is much larger than the invariant mass $Q$. We derive the evolution equations for these fragmentation functions. We calculate the leading order evolution kernels for partons to fragment into a unpolarized as well as a polarized virtual photon. We find that fragmentation functions to a longitudinally polarized virtual photon are most important at small $z$, and the fragmentation functions to a transversely polarized virtual photon dominate the large $z$ region. We discuss the implications of this finding to the J/$\psi$ mesons' polarization at large transverse momentum.

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