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
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.