Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-02-14
Phys.Rev. D71 (2005) 093007
Physics
High Energy Physics
High Energy Physics - Phenomenology
reference added, to appear in PRD
Scientific paper
10.1103/PhysRevD.71.093007
We investigate the relation between the E_gamma spectrum in B->X_s gamma decay and the P+ spectrum in semileptonic B->X_u l nu decay (P+ is the hadronic energy minus the absolute value of the hadronic three-momentum), which provides in principle the theoretically simplest determination of Vub from any of the "shape function regions" of B->X_u l nu spectra. We calculate analytically the P+ spectrum to order alpha_s^2 beta_0, and study its relation to the B->X_s gamma photon spectrum to eliminate the leading dependence on nonperturbative effects. We compare the result of fixed order perturbation theory to the next-to-leading log renormalization group improved calculation, and argue that fixed order perturbation theory is likely to be a more appropriate expansion. Implications for the perturbative uncertainties in the determination of Vub from the P+ spectrum are discussed.
Hoang Andre H.
Ligeti Zoltan
Luke Michael
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