Bounds on Heavy-to-Heavy Baryonic Form Factors

Abstract

Upper and lower bounds are established on the Lambda_b -> Lambda_c semileptonic decay form factors by utilizing inclusive heavy-quark-effective-theory sum rules. These bounds are calculated to leading order in Lambda_QCD/m_Q and alpha_s. The O(alpha_s^2 beta_0) corrections to the bounds at zero recoil are also presented. Several form factor models used in the literature are compared with our bounds.

Comments: 20 pages, 9 figures