The Drell-Levy-Yan Relation: ep vs $e^{+}{e}^{-}$ Scattering to $O({\alpha }_s^2)$

Abstract

We study the validity of a relation by Drell, Levy and Yan (DLY) connecting the deep inelastic structure (DIS) functions and the single-particle fragmentation functions in $e^{+}{e}^{-}$ annihilation which are defined in the spacelike ($q^2<0$) and timelike ($q^2>0$) regions, with respect to physical evolution kernels for the two processes to $O({\alpha }_s^2)$. We also comment on a relation proposed by Gribov and Lipatov.

Comments: 11 pages LATEX, 2 style files, talk given at the 5th International Symposium on Radiative Corrections (RADCOR 2000) Carmel, CA, USA, September 11-15, 2000