scholarly journals Bounds on ratios of DIS structure functions from the color dipole picture

2007 ◽  
Vol 648 (4) ◽  
pp. 279-283 ◽  
Author(s):  
Carlo Ewerz ◽  
Otto Nachtmann
Keyword(s):  
Structure Functions ◽  
Color Dipole ◽  
Dipole Picture

scholarly journals Small-x neutrino–hadron structure functions within the QCD color dipole picture

2007 ◽  
Vol 644 (5-6) ◽  
pp. 340-345 ◽  
Author(s):  
M.B. Gay Ducati ◽  
M.M. Machado ◽  
M.V.T. Machado
Keyword(s):  
Structure Functions ◽  
Hadron Structure ◽  
Color Dipole ◽  
Small X ◽  
Dipole Picture

The color dipole picture

2013 ◽  
Author(s):  
Dieter Schildknecht
Keyword(s):  
Color Dipole ◽  
Dipole Picture

scholarly journals Color transparency and saturation in QCD

2014 ◽  
Vol 29 (25) ◽  
pp. 1430028 ◽  
Author(s):  
Dieter Schildknecht
Keyword(s):  
Scattering Amplitude ◽  
Parton Model ◽  
Theoretical Interpretation ◽  
Inelastic Electron ◽  
Color Transparency ◽  
Color Dipole ◽  
Text Color ◽  
Reaction Channels ◽  
Dipole Picture ◽  
Interaction Channel

We review the theoretical interpretation of deep-inelastic electron–proton scattering at low values of the Bjorken variable x ≃Q2/W2 ≲ 0.1. The process proceeds via the interaction of quark–antiquark [Formula: see text] color-dipole fluctuations of the (virtual) photon with the proton. In terms of the forward Compton scattering amplitude, two reaction channels contribute to the interaction of the [Formula: see text] color dipole with the gluon field in the proton. Dependent on the kinematics, there is either color transparency, corresponding to a cancellation of the amplitudes for the two reaction channels, or saturation, occurring when the process is dominated by a single interaction channel. The connection between the color-dipole picture and the pQCD improved parton model is elaborated upon.

scholarly journals The Color Dipole Picture and the Ratio of the Longitudinal to the Transverse Photoabsorption Cross Section

2009 ◽  
Author(s):  
Dieter Schildknecht ◽  
Roberto Fiore ◽  
Igor Ivanov ◽  
Alessandro Papa ◽  
Jacques Soffer
Keyword(s):  
Cross Section ◽  
Photoabsorption Cross Section ◽  
Color Dipole ◽  
Dipole Picture

scholarly journals SCALING IN γ*p TOTAL CROSS-SECTIONS, SATURATION AND THE GLUON DENSITY

2001 ◽  
Vol 16 (28) ◽  
pp. 1829-1839 ◽  
Author(s):  
DIETER SCHILDKNECHT ◽  
BERND SURROW ◽  
MIKHAIL TENTYUKOV
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Gluon Density ◽  
Hera Data ◽  
Leading Order ◽  
Total Cross Sections ◽  
Vector Dominance ◽  
Color Dipole ◽  
Dipole Picture ◽  
Increasing Function

Including the new HERA data, the γ*p total cross-section is analyzed in the generalized vector dominance/color-dipole picture (GVD/CDP) that contains scaling in [Formula: see text], where Λ2(W2) is an increasing function of W2. At any Q2, for W2→∞, the cross-sections for virtual and real photons become identical, σγ*p (W2,Q2)/σγp (W2)→ 1. The gluon density deduced from the color-dipole cross-section fulfills the leading order DGLAP relationship. Evolution à la DGLAP breaks down for η≲0.1.

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

2015 ◽  
Vol 24 (08) ◽  
pp. 1550063 ◽  
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).

scholarly journals Nonlinear corrections on the parametrization methods

2021 ◽  
Vol 81 (9) ◽  
Author(s):  
G. R. Boroun ◽  
B. Rezaei
Keyword(s):  
Cross Sections ◽  
Direct Method ◽  
Nonlinear Behavior ◽  
High Energy ◽  
Structure Functions ◽  
Distribution Functions ◽  
Reduced Cross Section ◽  
Color Dipole ◽  
Wide Range ◽  
Energy Processes

AbstractWe present nonlinear corrections (NLCs) to the distribution functions at low values of x and $$Q^{2}$$ Q 2 using the parametrization $$F_{2}(x,Q^{2})$$ F 2 ( x , Q 2 ) and $$F_{L}(x,Q^{2})$$ F L ( x , Q 2 ) . We use a direct method to extract nonlinear corrections to the ratio of structure functions and the reduced cross section in the next-to-next-to-leading order (NNLO) approximation with respect to the parametrization method (PM). Comparisons between the nonlinear results with the bounds in the color dipole model (CDM) and HERA data indicate the consistency of the nonlinear behavior of the gluon distribution function at low x and low $$Q^{2}$$ Q 2 . The nonlinear longitudinal structure functions are comparable with the H1 Collaboration data in a wide range of $$Q^{2}$$ Q 2 values. Consequently, the nonlinear corrections at NNLO approximation to the reduced cross sections at low and moderate $$Q^{2}$$ Q 2 values show good agreement with the HERA combined data. These results at low x and low $$Q^{2}$$ Q 2 can be applied to the LHeC region for analyses of ultra-high-energy processes.

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