Abstract
We study the heavy-light mesons within basis light-front quantization. The resulting mass spectra of D, D_s, B, and B_s agree reasonably well with experiments. We also predict states which could be measured in the near future. In the light-front formalism, we calculate the light-front wave functions and additional experimental observables, such as parton distribution functions, distribution amplitudes, and decay constants by means of integrations over light-front wave functions. We also provide ratios of decay constants for selected pseudoscalar meson decays (D_s to D and B_s to B) as they may prove to be theoretically more robust and more reliably determined in experiments. We find that our ratios are systematically smaller than existing experiments and other approaches by 5–18%.
Highlights
The motivation for studying heavy-light mesons (D, Ds, B, Bs) with basis light-front quantization (BLFQ) [1] is twofold
The successful applications of BLFQ to heavy meson systems [2,3] provides a foundation for understanding the roles of key elements of the quark–antiquark effective Hamiltonian adopted for the heavy-light system
Additional motivation stems from the fact that the leptonic decay constant of heavy-light mesons plays a significant role in determining the Cabibbo–Kobayashi–Maskawa (CKM) quark-mixing matrix elements within Standard Model [11, 12]
Summary
The motivation for studying heavy-light mesons (D, Ds, B, Bs) with basis light-front quantization (BLFQ) [1] is twofold. The successful applications of BLFQ to heavy meson systems [2,3] provides a foundation for understanding the roles of key elements of the quark–antiquark effective Hamiltonian adopted for the heavy-light system. We employ the same form of Hamiltonian with only two fit parameters in order to test the validity of our model as well as some novel behavior for the heavy-light mesons. Additional motivation stems from the fact that the leptonic decay constant of heavy-light mesons plays a significant role in determining the Cabibbo–Kobayashi–Maskawa (CKM) quark-mixing matrix elements within Standard Model [11, 12]. We discuss the heavy-light mesons within BLFQ, a non-perturbative Hamiltonian framework.
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