On the probability distribution of the stochastic saturation scale in QCD
arXiv:hep-ph/0606233 · doi:10.1016/j.physletb.2006.07.022
Abstract
It was recently noticed that high-energy scattering processes in QCD have a stochastic nature. An event-by-event scattering amplitude is characterised by a saturation scale which is a random variable. The statistical ensemble of saturation scales formed with all the events is distributed according to a probability law whose cumulants have been recently computed. In this work, we obtain the probability distribution from the cumulants. We prove that it can be considered as Gaussian over a large domain that we specify and our results are confirmed by numerical simulations.
arXiv comment9 pages, 3 figures, misprints corrected, version to appear in PLB
References in corpus (17)
- Operator expansion for high-energy scattering
- Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
- Unitarization of the BFKL Pomeron on a Nucleus
- Geometric scaling as traveling waves
- Traveling wave fronts and the transition to saturation
- Universal behavior of QCD amplitudes at high energy from general tools of statistical physics
- Small-x physics beyond the Kovchegov equation
- A Langevin equation for high energy evolution with pomeron loops
- Universality and tree structure of high energy QCD
- Non-linear QCD evolution with improved triple-pomeron vertices
- Diffusive scaling and the high-energy limit of deep inelastic scattering in QCD at large N_c
- The high energy asymptotics of scattering processes in QCD
- Fluctuations effects in high-energy evolution of QCD
- On the Probabilistic Interpretation of the Evolution Equations with Pomeron Loops in QCD
- Consequences of strong fluctuations on high-energy QCD evolution
- On correlations and discreteness in non-linear QCD evolution
- High energy scattering in QCD as a statistical process
Cited by in corpus (27)
- Intrinsic Fluctuations of the Proton Saturation Momentum Scale in High Multiplicity p+p Collisions
- On possible implications of gluon number fluctuations in DIS data
- Reggeon Field Theory for Large Pomeron Loops
- Pomeron loop and running coupling effects in high energy QCD evolution
- Quantum chromodynamics at high energy and statistical physics
- Assessing saturation physics explanations of collectivity in small collision systems with the IP-Jazma model
- One-dimensional model for QCD at high energy
- Heavy flavour production in DGLAP improved saturation model
- Probing proton fluctuations with asymmetric rapidity correlations
- The BFKL Pomeron Calculus in the dipole approach
- O(α_s^2)-corrections to JIMWLK evolution from the classical equations of motion
- The BFKL Pomeron Calculus: Probabilistic Interpretation and High Energy Amplitude
- Liouville field theory for gluon saturation in QCD at high energy
- Total gluon shadowing due to fluctuation effects
- Froissart bound and gluon number fluctuations
- Asymptotics of QCD traveling waves with fluctuations and running coupling effects
- DIS and the effects of fluctuations: a momentum space analysis
- Rapidity dependence of transverse-momentum multiplicity correlations
- On pomeron loop effects in deep inelastic scattering
- Probing gluon number fluctuation effects in future electron-hadron colliders
- On the anomalous dimensions of the multiple pomeron exchanges
- Traveling wave solution of the Reggeon Field Theory
- Saturation scale fluctuations and multi-particle rapidity correlations
- Effects of gluon number fluctuations on photon - photon collisions at high energies
- Running coupling and pomeron loop effects on inclusive and diffractive DIS cross sections
- First correction to JIMWLK evolution from the classical equations of motion
- A geometrical scaling solution to the BFKL Pomeron Calculus in the saturation domain