Weak Decays in the light--front Quark Model

Abstract

We study the form factors of heavy--to--heavy and heavy--to--light weak decays using the light--front relativistic quark model. For the heavy--to--heavy $B \ra D^{(\ast)}$ semileptonic decays we calculate the corresponding Isgur--Wise function for the whole kinematic region. For the heavy--to--light $B\ra P$ and $B\ra V$ semileptonic decays we calculate the form factors at $q^2=0$; in particular, we have derived the dependence of the form factors on the $b$--quark mass in the $m_b \ra \infty$ limit. This dependence can not be produced by extrapolating the scaling behavior of the form factors at $q_{max}^2$ using the single--pole assumption. This shows that the $q^2$ dependence of the form factors in regions far away from the zero--recoil could be much more complicated than that predicted by the single--pole assumption.

24 pages, Latex, Postscript figure included at the end

References in corpus (20)

• Heavy Quark Symmetry
• $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings in QCD
• Exclusive Radiative B-Decays in the Light-Cone QCD Sum Rule Approach
• The Semileptonic Decays $D\to \pi (\rho )e\nu$ and $B\to \pi (\rho )e\nu$ from QCD Sum Rules
• Theoretical Update on the Model-Independent Determination of |V_{cb}| Using Heavy Quark Symmetry
• The Isgur-Wise Function in Small Velocity Limit
• Isgur-Wise Functions from the Mit Bag Model
• Quark Model Form Factors for Heavy Quark Effective Theory
• Critical Analysis of Theoretical Estimates for $B$ to Light Meson Form Factors and the $B\to \psi K(K^{\ast })$ Data
• Radiative $B\to K^{\ast }\gamma$ transition in QCD
• Dependence of the Form Factors of $B\to \pi \ell \nu$ on the Heavy Quark Mass
• Generalized Relativistic Meson Wave Function
• Semileptonic $B\to D^{(\ast )}l\nu$ decays, the slope of Isgur-Wise function and $|V_{bc}|$ value in potential quark model
• The Rare Decay $B\to K^{\ast }\gamma$: A More Precise Calculation
• Semileptonic and Exclusive Rare B Decays
• The Isgur-Wise function in a relativistic model for $q\bar{Q}$ system
• Simply Modeling Meson HQET
• Form Factor $A_0(q^2)$, Non Leptonic $D(B)\to PV$ Transitions and Rare $B\to K^{\ast }\gamma$ Decays
• Heavy-light and light-light weak matrix elements on the lattice
• Isgur-Wise Function and $V_{cb}$ from Bethe-Salpeter Equations

Cited by in corpus (20)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Covariant Light-Front Approach for s-wave and p-wave Mesons: Its Application to Decay Constants and Form Factors
• Mesonic Form Factors and the Isgur-Wise Function on the Light-Front
• Lattice-Constrained Unitarity Bounds for ${\bar{B}}^0\to {\pi }^{+}{l}^{-}{\bar{\nu }}_l$ Decays
• Covariant Light-Front Approach for B to K* gamma, K_1 gamma, K*_2 gamma Decays
• Transition Form Factors between Pseudoscalar and Vector Mesons in Light-Front Dynamics
• Kaon electroweak form factors in the light-front quark model
• A consistent treatment for pion form factors in space-like and time-like regions
• A Covariant Light-Front Model of Heavy Mesons within HQET
• Mesonic Tensor Form Factors with Light Front Quark Model
• Exclusive nonleptonic decays of B mesons
• Conformal Symmetry and Pion Form Factor: Soft and Hard Contributions
• Leading twist T-even TMDs for the spin-1 heavy vector mesons
• Electromagnetic properties of heavy mesons in heavy quark limit
• Charm and Bottom Semileptonic Decays
• The semileptonic B->pi decay in a Constituent Quark-Meson model
• Ward Identities, B-> ρForm Factors and |V_ub|
• Heavy quark symmetry of ${\Lambda }_b^0$ decays in quark models
• Tau Radiative Decays in the Light Front Quark Model
• Effective Field Theory of Heavy Mesons