Saturation model of DIS: an update

Golec-Biernat, K.; Sapeta, Sebastian

doi:10.1007/jhep03(2018)102

Cited by 70 publications

(92 citation statements)

References 43 publications

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“…Here, we will use the value m G = 400 MeV. Moreover, for the gluon PDF probed in the low scale

μ^{2} = m_{G}^{2} = 0.16

GeV 2 will be given for a prediction from the parton saturation physics,

x G (x, Q^{2}) = \frac{3 σ_{0} Q_{s}^{2}}{4 π^{2} α_{s}} [1 - (1 + \frac{Q^{2}}{Q_{s}^{2}}) e^{- \frac{Q^{2}}{Q_{s}^{2}}}],

where updated values for the GBW model parameters have been used (Golec‐Biernat & Sapeta ). Consistently, for the dipole cross section, we have used the GBW parametrization.…”

Section: Resultsmentioning

confidence: 99%

“…As an example, the celebrated golec‐bienat‐wusthoff (GBW) parameterization (Golec‐Biernat & Wüsthoff ) takes the eikonal‐like form,

σ_{italicdip} (x, r) = σ_{0} [1 - \exp (- \frac{r^{2} Q_{s}^{2} (x)}{4})],

Q_{s}^{2} (x) = {((), \frac{x_{0}}{x})}^{λ} {normalGeV}^{2} .

where Q s is the saturation scale. The few parameters are obtained from fit to the HERA data producing σ 0 = 27.43 mb, λ = 0.248 and x 0 = 0.40 · 10 −4 for a 5‐flavor analysis (see Golec‐Biernat & Sapeta for more recent fitting procedure). One has an additional parameter given by the effective light quark mass, m f = 0.14 GeV, which plays the role of a regulator at the photo‐production limit.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Investigating the asymptotic proton‐proton cross section at the Large Hadron Collider using parton saturation models and geometric scaling phenomenon

Machado

2019

Astron Nachr

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In this contribution, we compute the total cross section for proton-proton collisions at the Large Hadron Collider in the context of quantum chromo dynamics (QCD) parton saturation models presenting geometric scaling phenomenon. Moreover, prediction for pion-proton total cross section is also provided for asymptotic energies. The main theoretical uncertainties associated to the calculations are discussed. K E Y W O R D Sgeometric scaling phenomenon, high-density QCD, Large Hadron Collider, parton saturation physics, total cross section 1 Astron. Nachr. / AN. 2019;340:971-976.www.an-journal.org

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“…Here, we will use the value m G = 400 MeV. Moreover, for the gluon PDF probed in the low scale

μ^{2} = m_{G}^{2} = 0.16

GeV 2 will be given for a prediction from the parton saturation physics,

x G (x, Q^{2}) = \frac{3 σ_{0} Q_{s}^{2}}{4 π^{2} α_{s}} [1 - (1 + \frac{Q^{2}}{Q_{s}^{2}}) e^{- \frac{Q^{2}}{Q_{s}^{2}}}],

where updated values for the GBW model parameters have been used (Golec‐Biernat & Sapeta ). Consistently, for the dipole cross section, we have used the GBW parametrization.…”

Section: Resultsmentioning

confidence: 99%

“…As an example, the celebrated golec‐bienat‐wusthoff (GBW) parameterization (Golec‐Biernat & Wüsthoff ) takes the eikonal‐like form,

σ_{italicdip} (x, r) = σ_{0} [1 - \exp (- \frac{r^{2} Q_{s}^{2} (x)}{4})],

Q_{s}^{2} (x) = {((), \frac{x_{0}}{x})}^{λ} {normalGeV}^{2} .

Section: Introductionmentioning

confidence: 99%

Investigating the asymptotic proton‐proton cross section at the Large Hadron Collider using parton saturation models and geometric scaling phenomenon

Machado

2019

Astron Nachr

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show abstract

“…However, the saturation scale is energy dependent in that approach and, nevertheless, it comes about quite predictive. For example, in the Golec-Biernat-Wusthoff (GBW) model [27,28] it is parametrized by three parameters :…”

Section: Discussion and Summarymentioning

confidence: 99%

Exploring the origin of small−x saturation in the collinear approach

Snigirev

Zinovjev

2019

Phys. Rev. D

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A modification of the collinear evolution equations as an appropriate approach to improve the behavior of parton distribution functions in the region of small longitudinal momentum fractions, and to find more theoretical arguments to clarify the possible appearence of saturation regime is suggested. It is argued that parton diffusion in the rapidity space at large parton densities along the space-time evolution could result in the emergence of a natural saturation scale on which freezing actually occurs.

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“…where the updated values for the GBW model parameters have been used [20]. Consistently, for the dipole cross-section, we have used the GBW parametrization.…”

Section: Theoretical Framework and Their Phenomenological Applicationsmentioning

confidence: 99%

“…where we have considered the parameters for^from the GBW saturation model [20] and the value 2 = = 4.5 GeV −2 . Here, the parameter was defined as = √ 8 .…”

Section: Theoretical Framework and Their Phenomenological Applicationsmentioning

confidence: 99%