A Covariant Light-Front Model of Heavy Mesons within HQET

Abstract

In this paper we construct a covariant light-front model of heavy mesons within the framework of heavy quark effective theory (HQET). The covariant model consists of the light-front heavy meson bound states constructed in the heavy quark limit with heavy quark symmetry and heavy quark effective theory as its basis. Within this model, the Isgur-Wise function and decay constants in the infinite quark mass limit can be evaluated in a very simple and the most general way. The results are ensured to be consistent with heavy quark symmetry. From the heavy-quark-limit bound states, we can further develop a systematic approach to calculate $1/m_Q$ corrections from the $1/m_Q$ expansion of QCD. This covariant model can serve as a quasi-first-principles description of heavy meson dynamics, namely, a phenomenological covariant bound state in the heavy quark limit which is consistent with heavy quark symmetry, plus a reliable first-principles computation of the $1/m_Q$ corrections in HQET in terms of the $1/m_Q$ expansion of the fundamental QCD theory.

23 pages, 6 figures, revised for its publication in Phys. Rev. D

References in corpus (1)

• A Weak-Coupling Treatment of Nonperturbative QCD Dynamics to Heavy Hadrons

Cited by in corpus (24)

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• Light-Front Approach for Heavy Pentaquark Transitions
• Two-photon and two-gluon decays of p-wave heavy quarkonium using a covariant light-front approach
• Revisiting the form factors of $P\to V$ transition within the light-front quark models
• Mixing effects on 1S and 2S state heavy mesons in the light-front quark model
• Form factors of $V^{\prime }\to V^{\prime \prime }$ transition within the light-front quark models
• Covariant Light-Front Approach for $B_c$ Decays into Charmonium: Implications on Form Factors and Branching Ratios
• Electroweak form factors of heavy-light mesons -- a relativistic point-form approach
• Vertex functions for d-wave mesons in the light-front approach
• Form factors of $P\to T$ transition within the light-front quark models
• Self-consistent light-front quark model analysis of $B\to D\ell {\nu }_{\ell }$ transition form factors
• Tensor form factors of $P\to P,S,V$ and $A$ transitions within the standard and the covariant light-front approaches
• SU(3) symmetry breaking in decay constants and electromagnetic properties of pseudoscalar heavy mesons
• Angular distribution of the FCNC process $B_c\to D_s^{\ast }(\to D_s\pi ){\ell }^{+}{\ell }^{-}$
• Radiative leptonic decays of heavy mesons in heavy quark limit
• Numerical analysis of the production of $D^{(\ast )}(3000)$, $D_{sJ}(3040)$ and their partners through the semileptonic decays of $B_{(s)}$ mesons in terms of the light-front quark model
• Nonperturbative Determination of Heavy Meson Bound States
• Spectroscopy of excited quarkonium states in the light-front quark model
• $B_c$ to $A$ Transition Form Factors and Semileptonic Decays in Self-consistent Covariant Light-front Approach
• Effective Field Theory of Heavy Mesons
• Three symmetry breakings in strong and radiative decays of strange heavy mesons
• Heavy-light quark systems from the QCD instanton vacuum: $N_f=1$ light flavor case