The Phenomenology of Inclusive Heavy-to-Light Sum Rules

Details The Phenomenology of Inclusive Heavy-to-Light Sum Rules The Phenomenology of Inclusive Heavy-to-Light Sum Rules

1997-11-08

arxiv.org/abs/hep-ph/9711268v1

Phys.Lett. B420 (1998) 350-358

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 3 figures included

Scientific paper

10.1016/S0370-2693(97)01520-7

By calculating the O(\alpha_s) corrections to inclusive heavy-to-light sum rules we find model independent upper and lower bounds on form factors for B to pi and B to rho. We use the bounds to rule out model predictions. Some models violate the bounds only for certain ranges of sum rule input parameters \bar{lambda} \simeq m_B-m_b and lambda_1, or for certain choices of model parameters, while others obey or violate the bounds irrespective of the inputs. We discuss the reliability and convergence of the bounds, point out their utility for extracting V_{ub}, and derive from them a new form factor scaling relation.

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