LOW-MASS AND HIGH-MASS COMPONENTS OF THE PHOTON DISTRIBUTION-FUNCTIONS

Citation
Ga. Schuler et T. Sjostrand, LOW-MASS AND HIGH-MASS COMPONENTS OF THE PHOTON DISTRIBUTION-FUNCTIONS, Zeitschrift fur Physik. C, Particles and fields, 68(4), 1995, pp. 607-623
Citations number
48
Categorie Soggetti
Physics, Particles & Fields
ISSN journal
01709739
Volume
68
Issue
4
Year of publication
1995
Pages
607 - 623
Database
ISI
SICI code
0170-9739(1995)68:4<607:LAHCOT>2.0.ZU;2-Q
Abstract
The structure of the general solution of the inhomogeneous evolution e quations allows the separation of a photon structure,function into per turbative (''anomalous'') and non-perturbative contributions. The form er part is fully calculable, and can be identified with the high-mass contributions to the dispersion integral in the photon mass. Properly normalized ''state'' distributions can be defined, where the gamma --> q $($) over bar$$ q splitting probability is factored out. These stat e distributions are shown to be useful in the description of the hadro nic event properties, and necessary for a proper eikonalization of jet cross sections. Convenient parametrizations are provided both for the state and for the full anomalous parton distributions. The non-pertur bative parts of the parton distribution functions of the photon are id entified with the low-mass contributions to the dispersion integral. T heir normalizations, as well as the value of the scale Q(o) at which t he perturbative parts vanish, are fixed by approximating the low-mass contributions by a discrete, finite sum of vector mesons. The shapes o f these hadronic distributions are fitted to the available data on F-2 (gamma) (x,Q(2)). Parametrizations are provided for Q(o) = 0.6 GeV and Q(o) = 2 GeV, both in the DIS and the MS factorization schemes. The f ull parametrizations are extended towards virtual photons. Finally, th e often-used ''FKP-plus-TPC/2 gamma'' solution for F-2(gamma)(x, Q(2)) is commented upon.