Form Factor Relations for Heavy-to-Light Transitions

Abstract

Assuming simple properties of the spectator particle in weak decays the form factors of hadronic current matrix elements are shown to be related to a single universal function. The Isgur-Wise result for heavy-to-heavy transitions follows as well as similar relations for heavy-to-light decay processes. The approximation should hold for total energies of the final particle large compared to the confinement scale. A comparison with experimentally determined D-decay form factors and QCD sum rule results for B-decays is very encouraging.

12 pages, Latex; Relativistic covariant form, results unchanged, references added, to be published in Physics Lett. B

References in corpus (9)

• Heavy Quark Symmetry
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• Mesonic Form Factors and the Isgur-Wise Function on the Light-Front
• Use and Misuse of QCD Sum Rules in Heavy-to-light Transitions: the Decay $B\to \rho e\nu$ Reexamined
• QCD Sum Rule Analysis of the Decays $B\to K{\ell }^{+}{\ell }^{-}$ and $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$
• $B_{(s)},D_{(s)}\to \pi ,K,\eta ,\rho ,K^{\ast },\omega ,\varphi$ Transition Form Factors and Decay Rates with Extraction of the CKM parameters $|V_{ub}|$, $|V_{cs}|$, $|V_{cd}|$
• Lattice-Constrained Parametrizations of Form Factors for Semileptonic and Rare Radiative B Decays
• Rare exclusive semileptonic b -> s transitions in the Standard Model
• Short Distance Coefficients and the Vanishing of the Lepton Asymmetry in $B\to V{\ell }^{+}{\ell }^{-}$
• New physics reach of the decay mode $\bar{B}\to {\bar{K}}^{\ast 0}{\ell }^{+}{\ell }^{-}$
• Measurement of $B\to \rho \ell \nu$ Decay and $|V_{ub}|$
• Long-distance effects in $B\to V\gamma$ radiative weak decays
• Estimation of Semileptonic Decays of $B_c$ Meson to S-wave Charmonia with NRQCD
• Covariant quark model of form factors in the heavy mass limit
• Heavy quark expansion and universal form factors in quark model
• Rare decays B -> (K, K*) (l+ l-, nu bar{nu}) in the quark model
• Relativistic corrections to the form factors of $B_c$ into $S$-wave Charmonium
• Direct CP Violation in Λ_b -> n (Λ)π^+π^- Decays via ρ-ωMixing
• Form factors of heavy-to-light B decays at large recoil
• A Covariant Light-Front Model of Heavy Mesons within HQET
• Semileptonic decays $B\to (\pi ,\rho )e\nu$ in relativistic quark model
• Relativistic corrections to the form factors of $B_c$ into $P$-wave orbitally excited charmonium
• Semileptonic $B\to \pi$ Decays from an Omnès Improved Nonrelativistic Constituent Quark Model
• Form factor relations for heavy-to-heavy and heavy-to-light meson transitions
• Exclusive semileptonic decays of heavy mesons in quark model
• Exclusive B-meson Rare Decays and General Relations of Form Factors in Effective Field Theory of Heavy Quarks
• Searching for signatures of new physics in $B\to K\nu \overline{\nu }$ to distinguish between Dirac and Majorana neutrinos
• B -> K^* gamma from D -> K^* l nu
• Heavy to light baryon transition form factors
• First Lattice Study of the Form Factors A_0 and A_3 in the Decay Bbar^0 to rho^+ l^- nubar_l
• Lattice-Constrained Parametrizations of Form Factors for Semileptonic and Rare Radiative B Decays
• Heavy-to-light transition form factors and their relations in light-cone QCD sum rules
• Form Factors for Semi-Leptonic and Radiative Decays of Heavy Mesons to Light Mesons
• Combining exclusive semi-leptonic and hadronic B decays to measure |V_ub|