Bounds on Heavy-to-Heavy Weak Decay Form Factors

Abstract

We provide upper and lower bounds on the semileptonic weak decay form factors for $B \to D^(*)$ and $Λ_b \to Λ_c$ decays by utilizing inclusive heavy quark effective theory sum rules. These bounds are calculated to second order in $Λ_{QCD}/m_Q$ and first order in $α_s$. The $O(α_s^2 β_0)$ corrections to the bounds at zero recoil are also presented.