Speaker
Dr
Anatoly Kotikov
(JINR)
Description
We present a method to extract, in the leading and next-to-leading order approximations, the longitudinal deep-inelastic scattering structure function F$_L$(x,Q$^2$) from the experimental data by relying on a Froissart-bounded parametrization of the transversal structure function F$_2$(x,Q$^2$) and, partially, on the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi equations. Particular attention is paid on kinematics of low and ultra low values of the Bjorken variable x. Analytical expressions for F$_L$(x,Q2) in terms of the effective parameters of the parametrization of F$_2$(x,Q2) are presented explicitly. We argue that the obtained structure functions FL(x,Q2) within both, the leading and next-to-leading order approximations, manifestly obey the Froissart boundary conditions. Numerical calculations and comparison with available data from ZEUS and H1-Collaborations at HERA demonstrate that the suggested method provides reliable structure functions F$_L$(x,Q$^2$) at low x in a wide range of the momentum transfer (1 GeV$^2$ < Q$^2$ < 3000 GeV$^2$) and can be applied as well in analyses of ultra-high energy processes with cosmic neutrinos.
Primary author
Dr
Anatoly Kotikov
(JINR)
