Abstract
The nucleon and nuclear longitudinal structure functions are determined by the Kharzeev–Levin–Nardin (KLN) model of the low-[Formula: see text] gluon distribution. The behavior of the gluon distribution ratio [Formula: see text] and the ratio [Formula: see text] in [Formula: see text] processes are shown in this paper. The heavy longitudinal structure function ratios in [Formula: see text] processes at the LHeC region are discussed. Heavy contributions to the ratio of the total longitudinal structure function are considerable and should not be neglected especially at smaller [Formula: see text] of the LHeC project. In the KLN model, the new geometrical scaling for transition from the linear to nonlinear regions in accordance with the LHeC processes is used, whose results intensively depended on the heavy quark mass effect.
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