Charm Cross Sections for the Tevatron Run II
Matteo Cacciari, Paolo Nason
TL;DR
This work provides predictions for charm hadron production at the Tevatron Run II using the FONLL framework, combining NLO calculations with NLL resummation of large-$p_T$ logarithms. A key feature is the phenomenological extraction of non-perturbative fragmentation functions from ALEPH $D^*$ data and their propagation to $D^0$ and $D^+$ via measured fragmentation fractions and $D^*$ decay kinematics. The $D^0$ and $D^+$ fragmentation functions are constructed from the $D^*$ input employing the Braaten (1995) analytic forms with a single parameter $r$, while the $D^*$ fragmentation is directly fitted from data; the approach highlights model dependencies, especially for $D^+$, and provides phenomenological predictions for charm spectra at the Tevatron. Overall, the paper integrates perturbative QCD with non-perturbative hadronization inputs to enable more reliable comparisons between theory and charm-hadron data at hadron colliders.
Abstract
We present a calculation of the D^{*+}, D^+ and D^0 meson single inclusive production cross section for the Tevatron Run II. We use the FONLL approach in perturbative QCD, which, besides including the known next-to-leading order corrections, also provides for the resummation at the next-to-leading logarithmic level of terms enhanced at large p_T by powers of log(p_T/m), where m is the charm mass and p_T is its transverse momentum. Non-perturbative effects in charm hadronization are extracted, in moment space, from recent ALEPH data for D^* fragmentation in e^+e^- collisions.