Singlet structure function g_1 at small x and small Q^2

Abstract

Explicit expressions for the singlet g_1 at small x and small Q^2 are obtained with the total resummation of the leading logarithmic contributions. It is shown that g_1 practically does not depend on Q^2 in this kinematic region. In contrast, it would be interesting to investigate its dependence on the invariant energy 2pq because, being g_1 positive at small 2pq, it can turn negative at greater values of this variable. The position of the turning point is sensitive to the ratio between the initial quark and gluon densities, so its experimental detection would enable to estimate this ratio

Section 2 is totally changed, one more ref added

References in corpus (11)

• QCD Analysis of Polarized Deep Inelastic Data and Parton Distributions
• Determination of the Bjorken Sum and Strong Coupling from Polarized Structure Functions
• Flavor Singlet Contribution to the Structure Function $g_1$ at Small-x
• Measurement of the Spin Structure of the Deuteron in the DIS Region
• Determination of polarized parton distribution functions and their uncertainties
• Longitudinal Polarized Parton Densities Updated
• Intercepts of the non-singlet structure functions
• Running coupling effects for the singlet structure function g_1 at small x
• QCD running coupling effects for the non-singlet structure function at small x
• Non-singlet structure functions: Combining the leading logarithms resummation at small-x with DGLAP
• DIS structure functions and the double-spin asymmetry in ${\rho }^0$ electroproduction within a Regge approach

Cited by in corpus (5)

• Longitudinal double-spin asymmetry $A_1^{\mathrm{p}}$ and spin-dependent structure function $g_1^{\mathrm{p}}$ of the proton at small values of $x$ and $Q^2$
• Comment on the recent COMPASS data on the spin structure function g_1
• Combining the small-x evolution and DGLAP for description of inclusive photon induced processes
• Impact of double-logarithmic electroweak radiative corrections on the non-singlet structure functions at small x
• Origin of the Q^2-dependence of the DIS structure functions