New Exact Heavy Quark Sum Rules

Details New Exact Heavy Quark Sum Rules New Exact Heavy Quark Sum Rules

2000-11-09

arxiv.org/abs/hep-ph/0011124v1

Phys.Lett. B501 (2001) 86-91

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, LaTeX

Scientific paper

10.1016/S0370-2693(01)00110-1

Considering nonforward scattering amplitude off the heavy quark in the Small Velocity limit two exact superconvergent sum rules are derived. The first sum rule leads to the lower bound \rho^2 > 3/4 for the slope of the Isgur-Wise function. It also provides the rationale for the fact that the vector heavy flavor mesons are heavier than the pseudoscalar ones. A spin-nonsinglet analogue \bar\Sigma of \bar\Lambda = M_B-m_b is introduced.

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