Inclusive Hadronic Distributions Inside One Jet at High Energy Colliders at "Modified Leading Logarithmic Approximation" of Quantum Chromodynamics

Abstract

After demonstrating their general expressions valid at all x, double differential 1-particle inclusive distributions inside a quark and a gluon jet produced in a hard process, together with the inclusive k-transverse distributions, are calculated at small x in the Modified Leading Logarithmic Approximation (MLLA), as functions of the transverse momentum of the outgoing hadron. Results are compared with the Double Logarithmic Approximation (DLA) and a naive DLA-inspired evaluation; sizable corrections are exhibited which, associated with the requirement to stay in a perturbative regime, set the limits of the interval where our calculations can be trusted. We give predications for the LHC and Tevatron colliders.

Comments: LaTex, 36 pages, 54 figures .eps + 1 logo .ps. A detailed discussion on the reliability of MLLA calculations has been added, together with predications for LEP and Tevatron. Version accepted for publication in JHEP (a preliminary experimental figure was erroneously included in 3rd version)