Analysis of the vector and axialvector $B_c$ mesons with QCD sum rules

Abstract

In this article, we study the vector and axialvector $B_c$ mesons with the QCD sum rules, and make reasonable predictions for the masses and decay constants, then calculate the leptonic decay widths. The present predictions for the masses and decay constants can be confronted with the experimental data in the future. We can also take the masses and decay constants as basic input parameters and study other phenomenological quantities with the three-point vacuum correlation functions via the QCD sum rules.

14 pages, 16 figures

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• QCD Sum Rules Analysis of Weak Decays of Doubly-Heavy Baryons
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• Spectroscopy of ${\mathbf{B}}_{\mathbf{c}}$ mesons and the possibility of finding exotic ${\mathbf{B}}_{\mathbf{c}}$-like structures
• Weak decays of doubly heavy baryons: "decay constants"
• Effects of a dressed quark-gluon vertex in vector heavy-light mesons and theory average of B(c)* meson mass
• Supersymmetry in the Double-Heavy Hadronic Spectrum
• Towards the discovery of novel $B_c$ states: radiative and hadronic transitions
• Reanalysis of the $X(3915)$, $X(4500)$ and $X(4700)$ with QCD sum rules
• The radiative decays $B_c^{\ast \pm }\to B_c^{\pm }\gamma$ with QCD sum rules
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• The bottom-charmed meson spectrum from a QCD approach based on Tamm--Dancoff approximation
• Next-to-next-to-leading order matching of beauty-charmed meson $B_c$ and $B_c^{\ast }$ decay constants
• Purely leptonic decays of the ground charged vector mesons
• Properties of excited $B_c$ states in QCD
• Analysis of hadronic coupling constants $G_{B_c^{\ast }{B}_c{\rm Y}}$, $G_{B_c^{\ast }{B}_{c}J/\psi }$, $G_{B_c{B}_c{\rm Y}}$ and $G_{B_c{B}_{c}J/\psi }$ with QCD sum rules
• Form factors and decay rate of $B_c^{\ast }\to D_s{l}^{+}{l}^{-}$ decays in the QCD sum rules
• W-exchange contribution to the decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{+(\prime )}{\pi }^{+}$ using light-cone sum rules
• Systematic analysis of the form factors of $B_c\to {\eta }_c$, $J/\psi$ and corresponding weak decays
• The Decay constants of $B_c(nS)$ and $B_c^{\ast }(nS)$
• Decay constant of $B_c^{\ast }$ accurate up to $\mathcal{O}({\alpha }_s^3)$
• Analytic calculation of doubly heavy hadron spectral density in coordinate space
• M1 Radiative and spin-nonflip $\pi \pi$ transitions of $B_c$ states in the Cornell potential model
• $B_c^{\ast }$ meson parameters and radiative decay width within the covariant confined quark model
• Observation of orbitally excited $B_c^{+}$ states
• Spectra and Decay Properties of Higher Lying $B_C$ Meson States
• Study of $B_c(1P{)}^{+}$ states in the $B_c^{+}\gamma$ mass spectrum
• Analysis of the form factors of $B_c\to D^{(\ast )}$, $D_s^{(\ast )}$ and their nonleptonic decays
• The ${\rm Y}(nS)$ $\to$ $B_c^{\ast }\pi$, $B_c^{\ast }K$ decays with perturbative QCD approach
• Rare Radiative Decays of Vector and Axial-Vector $B_c$ Mesons to $(D_s,D_s^{\ast },D_{s1})$ Final States
• Strong coupling constant of h${}_b$ vector to the pseudoscalar and vector $B_c$ mesons in QCD sum rules