Traveling wave solution of the Reggeon Field Theory (EPS proceedings)
By R. Peschanski. 2009
265 citations recorded by the source corpus.
We identify the nonlinear evolution equation in impact-parameter space for the "Supercritical Pomeron" in Reggeon Field Theory as a 2-dimensional stochastic Fisher and Kolmogorov-Petrovski-Piscounov equation. It exactly preserves unitarity and leads in its radial form to an high energy traveling wave solution corresponding to an "universal" behavior of the impact-parameter front profile of the elastic amplitude; Its rapidity dependence and form depend only on one parameter, the noise strength, independently of the initial conditions and of the non-linear terms restoring unitarity. Theoretical predictions are presented for the three typical different regimes corresponding to zero, weak and strong noise, respectively. They have phenomenological implications for total and differential hadronic cross-sections at colliders.
Subfields: Applied Mathematics, Computational Mechanics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/e4f095780521341fd2b45396673982038ddb6d70
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In Applied Mathematics
In Computational Mechanics
In Nuclear and High Energy Physics
Citations in the corpus
- The Phenomenology of Right Handed Neutrinos (2013, background): “A particularly interesting scenario of this kind is that in which total lepton number L is almost conserved [58, 76, 115–121, 382].”
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- Lepton universality violation with lepton flavor conservation in B-meson decays (2015, background): “There are particular models for which our hypothesis does not hold [69]; these are examples of conventional MLFV, [68, 70, 71], where the best phenomenological probes are charged LFV processes.”
- A facility to search for hidden particles at the CERN SPS: the SHiP physics case (2015, background): “(This is possible tough for particular minimal flavor violation patterns [387, 612]).”