The Subleading Isgur-Wise Form Factor $χ_3(v\cdot v')$ to Order $α_s$ in QCD Sum Rules

Details The Subleading Isgur-Wise Form Factor $χ_3(v\cdot v')$ to Order $α_s$ in QCD Sum Rules The Subleading Isgur-Wise Form Factor $χ_3(v\cdot v')$ to Order $α_s$ in QCD Sum Rules

1992-12-16

arxiv.org/abs/hep-ph/9212266v1

Phys.Rev. D47 (1993) 5060-5066

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages ReVTeX, 3 figures available upon request, SLAC-PUB-6017, WIS-92/99/Dec-PH

Scientific paper

10.1103/PhysRevD.47.5060

We calculate the contributions arising at order $\alpha_s$ in the QCD sum rule for the spin-symmetry violating universal function $\chi_3(v\cdot v')$, which appears at order $1/m_Q$ in the heavy quark expansion of meson form factors. In particular, we derive the two-loop perturbative contribution to the sum rule. Over the kinematic range accessible in $B\to D^{(*)}\ell\,\nu$ decays, we find that $\chi_3(v\cdot v')$ does not exceed the level of $\sim 1\%$, indicating that power corrections induced by the chromo-magnetic operator in the heavy quark expansion are small.

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