Quenching of leading jets and particles: The p_{⊥} dependent LandauPomeranchukMigdal effect from nonlinear k_{⊥} factorization
Abstract
We report the first derivation of radiative nuclear stopping (the LandauPomeranchukMigdal effect) for leading jets at fixed values of the transverse momentum p in the beam fragmentation region of hadronnucleus collisions from Relativistic Heavy Ion Collider (RHIC) to Large Hadron Collider (LHC). The major novelty of this work is a derivation of the missing virtual radiative pQCD correction to these processes—the realemission radiative corrections are already available in the literature. We manifestly implement the unitarity relation, which in the simplest form requires that upon summing over the virtual and realemission corrections the total number of scattered quarks must exactly equal unity. For the freenucleon target, the leading jet spectrum is shown to satisfy the familiar linear BalitskyFadinKuraevLipatov leading log(1)/(x) (LL(1)/(x)) evolution. For nuclear targets, the nonlinear k_{⊥}factorization for the LL(1)/(x) evolution of the leading jet spectrum is shown to exactly match the equally nonlinear LL(1)/(x) evolution of the collective nuclear glue—there emerges a unique linear k_{⊥}factorization relation between the two nonlinear evolving nuclear observables. We argue that within the standard dilute uncorrelated nucleonic gas treatment of heavy nuclei, in the finite energy range from RHIC to LHC, the leading jet spectrum can be evolved in the LL(1)/(x) BalitskyKovchegov approximation. We comment on the extension of these results to, and their possible Reggeon field theory interpretation for, midrapidity jets.
 Publication:

Physical Review D
 Pub Date:
 July 2006
 DOI:
 10.1103/PhysRevD.74.014023
 arXiv:
 arXiv:hepph/0604117
 Bibcode:
 2006PhRvD..74a4023N
 Keywords:

 13.87.a;
 11.80.La;
 12.38.Bx;
 13.85.t;
 Jets in largeQ<sup>2</sup> scattering;
 Multiple scattering;
 Perturbative calculations;
 Hadroninduced high and superhighenergy interactions;
 High Energy Physics  Phenomenology;
 Nuclear Experiment;
 Nuclear Theory
 EPrint:
 36 pages, 8 eps figs, revised, discussion on reggeon interpretation and refs. added