Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-10-03
Nucl.Phys.B775:162-201,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
44 pages, 4 figures. Few changes after referee report. Sections 4 and 7 expanded, references added, numerical results unchange
Scientific paper
10.1016/j.nuclphysb.2007.04.014
We describe B-hadron production in e+e- annihilation at the Z pole by means of a model including non-perturbative corrections to b-quark fragmentation as originating, via multiple soft emissions, from an effective QCD coupling constant, which does not exhibit the Landau pole any longer and includes absorbitive effects due to parton branching. We work in the framework of perturbative fragmentation functions at NLO, with NLL DGLAP evolution and NNLL large-x resummation in both coefficient function and initial condition of the perturbative fragmentation function. We include hadronization corrections via the effective coupling constant in the NNLO approximation and do not add any further non-perturbative fragmentation function. As part of our model, we perform the Mellin transforms of our resummed expressions exactly. We present results on the energy distribution of b-flavoured hadrons, which we compare with LEP and SLD data, in both x- and N-spaces. We find that, within the theoretical uncertainties on our calculation, our model is able to reasonably reproduce the data at x<0.92 and the first five moments of the B cross section.
Aglietti Ugo
Corcella Gennaro
Ferrera Giancarlo
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