2004/03/15 by Nikolai Uraltsev, NIKOLAI URALTSEV · 21 citations
Computer Science · Physics and Astronomy · #Charge (physics) #Charm (quantum number) #Computational Physics and Python Applications #Gluon #Hadron #Lepton #Moment (physics) #Momentum (technical analysis) #Particle physics theoretical and experimental studies #Perturbative QCD #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1142/s0217751x05020938
published in International Journal of Modern Physics A 20(10), 2099-2117 (World Scientific) · 16 pages, LaTeX, ten figures
arxiv created 2004/03/15 · openalex publication_date 2005/04/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We have calculated the perturbative corrections to all the structure functions in the semileptonic decays of a heavy quark. Assuming an arbitrary gluon mass as a technical tool allowed to obtain in parallel all the BLM corrections. We report the basic applications, viz. perturbative corrections to the hadronic mass and energy moments with full dependence on the charge lepton energy cut. In the adopted scheme with the OPE momentum scale separation around 1 GeV the perturbative corrections to [Formula: see text] are small and practically independent of E cut ; the BLM corrections are small, too. The corrections to the second mass squared moment show some decrease with E cut consistent with the effect of the Darwin operator, within the previously estimated theoretical uncertainty. Perturbative corrections in the pole-type schemes appear significant and vary with E ℓ , decreasing the moments at higher cuts. The hardness of hadronic moments is quantitatively illustrated for different cuts on E ℓ .