The Phenomenology of Inclusive Heavy-to-Light Sum Rules

Abstract

By calculating the O(α_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.

15 pages, 3 figures included

References in corpus (4)

• Precision Corrections to Dispersive Bounds on Form Factors
• Analyticity, Shapes of Semileptonic Form Factors, and B to pi l nu
• V_{ub} from the Hadronic Invariant Mass Spectrum in Semileptonic B Decay
• Perturbative Corrections to a Sum Rule for the Heavy Quark Kinetic Energy

Cited by in corpus (8)

• Predictions on $B\to \pi \bar{l}{\nu }_l$, $D\to \pi \bar{l}{\nu }_l$ and $D\to K\bar{l}{\nu }_l$ from QCD Light-Cone Sum Rules
• Measurement of $B\to \rho \ell \nu$ Decay and $|V_{ub}|$
• A model independent determination of $|V_{ub}|$ using the global $q^2$ dependence of the dispersive bounds on the $B\to \pi l\nu$ form factors
• Improved Unitarity Bounds for B -> Pi Decays
• A Method For Extracting cosα
• Bounds on Heavy-to-Heavy Baryonic Form Factors
• Bounds on Heavy-to-Heavy Mesonic Form Factors
• Remarks on Form Factor Bounds