A numerical study of the small-x behavior of deep inelastic structure functions in QCD

Using the high-energy Operator Product Expansion of the T-product of two electromagnetic currents, we calculate the Photon Impact Factor for Deep Inelastic Scattering at small value of the Bjorken variable x B at the next-to-leading order (NLO) accuracy in αs. We provide for the first time an analytic expression in coordinate space and in Mellin space of the NLO impact factor for the forward unpolarized structure functions.

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The behavior of the heavy quarks structure functions at small-x

International Journal of Modern Physics E ◽

10.1142/s0218301315500639 ◽

2015 ◽

Vol 24 (08) ◽

pp. 1550063 ◽

Cited By ~ 2

Author(s):

G. R. Boroun ◽

B. Rezaei

Keyword(s):

Cross Sections ◽

Structure Functions ◽

Heavy Quarks ◽

Heavy Flavor ◽

Effective Coefficients ◽

Color Dipole ◽

Small X

The behavior of the charm and bottom structure functions [Formula: see text], where i = c, and b; k = 2, and L) at small-x is considered with respect to the hard-Pomeron and saturation models. Having checked that this behavior predicate the heavy flavor reduced cross-sections concerning the unshadowed and shadowed corrections. We will show that the effective exponents for the unshadowed and saturation corrections are independent of x and Q2, and also the effective coefficients are dependent to ln Q2 compared to Donnachie–Landshoff (DL) and color dipole models (CDMs).

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NUCLEAR SHADOWING IN INCLUSIVE AND TAGGED DEUTERON STRUCTURE FUNCTIONS AND EXTRACTION OF $F_2^p-F_2^n$ AT SMALL x FROM ELECTRON–DEUTERON COLLIDER DATA

Modern Physics Letters A ◽

10.1142/s0217732306019384 ◽

2006 ◽

Vol 21 (01) ◽

pp. 23-40 ◽

Cited By ~ 3

Author(s):

L. FRANKFURT ◽

V. GUZEY ◽

M. STRIKMAN

Keyword(s):

Structure Function ◽

Structure Functions ◽

Final State ◽

Neutron Structure ◽

The Future ◽

Final State Interactions ◽

Small X

We review predictions of the theory of leading twist nuclear shadowing for inclusive unpolarized and polarized deuteron structure functions [Formula: see text], [Formula: see text] and [Formula: see text] and for the tagged deuteron structure function [Formula: see text]. We analyze the possibility to extract the neutron structure function [Formula: see text] from electron–deuteron data and demonstrate that an account of leading twist nuclear shadowing leads to large corrections for the extraction of [Formula: see text] from the future deuteron collider data both in the inclusive and in the tagged structure function modes. We suggest several strategies to address the extraction of [Formula: see text] and to measure at the same time the effect of nuclear shadowing via the measurement of the distortion of the proton spectator spectrum in the semi-inclusive eD → e′NX process. We address the issue of the final state interactions in the eD → e′NX process and examine how they affect the extraction of [Formula: see text].

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