14 research outputs found
Pomeron loops in zero transverse dimensions
We analyze a toy model which has a structure similar to that of the recently
found QCD evolution equations, but without transverse dimensions. We develop
two different but equivalent methods in order to compute the leading-order and
next-to-leading order Pomeron loop diagrams. In addition to the leading-order
result which has been derived from Mueller's toy model~\cite% {Mueller:1994gb},
we can also calculate the next-to-leading order contribution which provides the
correction. We interpret this result and discuss its
possible implications for the four-dimensional QCD evolution.Comment: 11 pages, 4 figure
Diffractive dissociation including pomeron loops in zero transverse dimensions
We have recently studied the QCD pomeron loop evolution equations in zero
transverse dimensions [Shoshi:2005pf]. Using the techniques developed in
[Shoshi:2005pf] together with the AGK cutting rules, we present a calculation
of single, double and central diffractive cross sections (for large diffractive
masses and large rapidity gaps) in zero transverse dimensions in which all
dominant pomeron loop graphs are consistently summed. We find that the
diffractive cross sections unitarise at asymptotic energies and that they are
suppressed by powers of alpha_s. Our calculation is expected to expose some of
the diffractive physics in hadron-hadron collisions at high energy.Comment: 14 pages, 5 figures; numerous explanations added, matches the
published versio
Total gluon shadowing due to fluctuation effects
We show a new physical phenomenon expected for the ratio R_{pA} of the
unintegrated gluon distribution of a nucleus over the unintegrated gluon
distribution of a proton scaled up by the atomic factor A^{1/3} in the
fluctuation-dominated (diffusive scaling) region at high energy. We calculate
the dependence of R_{pA} on the atomic number A, the rapidity Y and the
transverse gluon momentum k_{\perp}. We find that R_{pA} exhibits an increasing
gluon shadowing with growing rapidity, approaching 1/A^{1/3} at asymptotic
rapidities which means total gluon shadowing, due to the effect of gluon number
fluctuations or Pomeron loops. The increase of R_{pA} with rising gluon
momentum decreases as the rapidity grows. In contrast, in the geometric scaling
region where the effect of fluctuations is negligible, the ratio R_{pA} shows
only partial gluon shadowing in the fixed-coupling case, basically independent
on the rapidity and the gluon momentum.Comment: 12 pages, 1 figure; two plots and further explanations added; matches
version accepted for publicatio
Diffractive photon dissociation in the saturation regime from the Good and Walker picture
Combining the QCD dipole model with the Good and Walker picture, we formulate
diffractive dissociation of a photon of virtuality Q^2 off a hadronic target,
in the kinematical regime in which Q is close to the saturation scale and much
smaller than the invariant mass of the diffracted system. We show how the
obtained formula compares to the HERA data and discuss what can be learnt from
such a phenomenology. In particular, we argue that diffractive observables in
these kinematics provide useful pieces of information on the saturation regime
of QCD.Comment: 17 pages, 7 figures, revte
High energy QCD beyond the mean field approximation
It has been recently understood how to deal with high-energy scattering beyond the mean field approximation. We review some of the main steps of this theoretical progress, like the role of Lorentz invariance and unitarity requirements, the importance of discreteness and fluctuations of gluon numbers (Pomeron loops), the high-energy QCD/statistical physics correspondence and the consequences for the saturation scale, the scattering amplitude and other, also measurable, quantities