RESUMMATION OF NONPERTURBATIVE CORRECTIONS TO THE LEPTON SPECTRUM IN INCLUSIVE B-]X(Q)L(NU)OVER-BAR DECAYS

Citation
T. Mannel et M. Neubert, RESUMMATION OF NONPERTURBATIVE CORRECTIONS TO THE LEPTON SPECTRUM IN INCLUSIVE B-]X(Q)L(NU)OVER-BAR DECAYS, Physical review. D. Particles and fields, 50(3), 1994, pp. 2037-2047
Citations number
36
Categorie Soggetti
Physics, Particles & Fields
ISSN journal
05562821
Volume
50
Issue
3
Year of publication
1994
Part
2
Pages
2037 - 2047
Database
ISI
SICI code
0556-2821(1994)50:3<2037:RONCTT>2.0.ZU;2-N
Abstract
We apply the operator product expansion to resum the leading nonpertur bative corrections to the end-point region of the lepton spectrum iu i nclusive semileptonic B --> X(q)lnuBAR decays, taking into account a f inite quark mass m(q) in the final state. We show that for both b --> c and b --> u transitions it is consistent to describe these effects b y a convolution of the parton-model spectrum with a universal light-co ne structure function. The moments of this function are proportional t o forward matrix elements of higher-dimension operators. The dominant subleading corrections to our results are of order m(c)/m(b) for b --> c transitions, and of order LAMBDA(QCD)/m(b) for b --> u decays. The prospects for an extraction of the structure function from a measureme nt of the lepton spectrum are discussed.