2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229853We calculate single parton distributions inside quark and gluon jets within the coherent branching formalism, which resums leading and next-to-leading logarithmic contributions. This formalism is at the basis of the modified leading logarithmic approximation (MLLA), and it conserves energy exactly. For a wide preasymptotic range of the evolution variable Y=ln[Eθ/Q_0], we find marked differences in the shape and norm of single parton distributions calculated in the MLLA or in the coherent branching formalism, respectively. For asymptotically large values Y>5-10, the difference in norm persists, while differences in shape disappear. In this way, our numerical study delineates the jet energy scale needed for a reliable application of both approaches. We also study the dependence of the single parton distributions on the hadronization scale Q_0 and on Λ_QCD, and we calculate within the coherent branching formalism the identified quark and gluon distributions inside quark and gluon jets.23 pages, 12 figuresHigh Energy Physics - Phenomenologytext