Bounding Heavy Meson Form Factors Using Inclusive Sum Rules

Abstract

We utilize inclusive sum rules to construct both upper and lower bounds on the form factors for B to D, D*, rho, pi, omega, K and K* semi-leptonic and radiative decays. We include the leading nonperturbative 1/E corrections and point out cases when alpha_s corrections are equally important. We compute the alpha_s correction to the lower bound on the B to D* form factor f(w) at zero recoil, thereby constraining its normalization f(1) to within 6-8% of the upper bound. We show that the B to rho form factor a_+ is suppressed at small momentum transfer by either a factor of 1/E or alpha_s. These bounds can be used to rule out phenomenological models as well as to determine values for the CKM matrix elements once radiative corrections are included.

LATEX file, 16 pages, 3 figures included

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Cited by in corpus (8)

• Precision Corrections to Dispersive Bounds on Form Factors
• Semileptonic Lambda_b decay to excited Lambda_c baryons at order Lambda_{QCD}/m_Q
• Perturbative corrections to curvature sum rules
• The Phenomenology of Inclusive Heavy-to-Light Sum Rules
• 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