Heavy Hadron Form Factor Relations for $m_c\ne \infty$ and $\text{bas}(m_c)\ne 0$

Abstract

First order power corrections to current matrix elements between heavy meson or ${\Lambda }_{\text{Q}}$ baryon states are shown to vanish at the zero recoil point to all orders in QCD. Five relations among the six form factors that parametrize the semileptonic decay ${\Lambda }_b\to {\Lambda }_{c}e\overline{\nu }$ are also demonstrated to exist to all orders in the strong coupling at order $1/\text{mQ}$ . The $O(\text{bas}(m_c)/m_c)$ form factor relations are displayed.

Comments: 11 pages, 1 figure (included)