Abstract:We show that the geometric scaling of the total virtual photon-proton cross section data can be explained using standard linear Dokshitzer-Gribov-Altarelli-Parisi perturbative evolution with generic boundary conditions in a wide kinematic region. This allows us to single out the region where geometric scaling may provide evidence for parton saturation.
“…Consistency of linear evolution and scaling at low x has recently also been found [10] by examining the double-asymptotic scaling approximation of the DGLAP evolution equations.…”
“…Consistency of linear evolution and scaling at low x has recently also been found [10] by examining the double-asymptotic scaling approximation of the DGLAP evolution equations.…”
“…One should note, however, that at this order of perturbative expansion the loop corrections to the leading order Fock component may change the value of the bound (22). Similarly for the next Fock component we would have:…”
Section: Emns Bound and Higher Fock Statesmentioning
We compare new HERA data for the longitudinal structure function F L with the predictions of different variants of the dipole model. In particular we show that the ratio F L /F 2 is well described by the dipole models and is rather insensitive to the details of the fit. Fits to F 2 are performed with the help of geometrical scaling (GS). Using the property of GS we derive the bounds for F L /F 2 both for the different versions of the dipole model and in the general case. Finally we briefly discuss how the higher Fock components of the photon wave function may affect these bounds.
“…It has always been difficult to know how seriously to take this since it is broken (by higher orders in calculations, heavy quark contributions, ...) by significant amounts. In addition it was shown explicitly that geometric scaling can appear from standard DGLAP evolution [23] with sensible boundary conditions. Perhaps more striking was the Figure 5.…”
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