Study of the leptonic decays of pseudoscalar $B,D$ and vector $B^{\ast },D^{\ast }$ mesons and of the semileptonic $B\to D$ and $B\to D^{\ast }$ decays

Abstract

We present results for different observables in weak decays of pseudoscalar and vector mesons with a heavy $c$ or $b$ quark. The calculations are done in a nonrelativistic constituent quark model improved at some instances by heavy quark effective theory constraints. We determine pseudoscalar and vector meson decay constants that within a few per cent satisfy $f_V{M}_V/f_P{M}_P=1$, a result expected in heavy quark symmetry when the heavy quark masses tend to infinity. We also analyze the semileptonic $B\to D$ and $B\to D^{\ast }$ decays for which we evaluate the different form factors. Here we impose heavy quark effective theory constraints among form factors that are not satisfied by a direct quark model calculation. The value of the form factors at zero recoil allows us to determine, by comparison with experimental data, the value of the $|V_{cb}|$ Cabbibo-Kobayashi-Maskawa matrix element. From the $B\to D$ semileptonic decay we get $|V_{cb}|=0.040\pm 0.006$ in perfect agreement with our previous determination based on the study of the semileptonic ${\Lambda }_b\to {\Lambda }_c$ decay and also in excellent agreement with a recent experimental determination by the DELPHI Collaboration. We further make use of the partial conservation of axial current hypothesis to determine the strong coupling constants $g_{B^{\ast }B\pi }(0)=60.5\pm 1.1$ and $g_{D^{\ast }D\pi }(0)=22.1\pm 0.4$. The ratio $R=(g_{B^{\ast }B\pi }(0)f_{B^{\ast }}\sqrt{M_D})/(g_{D^{\ast }D\pi }(0)f_{D^{\ast }}\sqrt{M_B})=1.105\pm 0.005$ agrees with the heavy quark symmetry prediction of 1.

arXiv comment19 Latex pages,6 figures, references added, corrected typos, content enlarged

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Cited by in corpus (21)

• Study of exclusive semileptonic and nonleptonic decays of $B_c^{-}$ in a nonrelativistic quark model
• The s-wave charmed baryon resonances from a coupled-channel approach with heavy quark symmetry
• Decay Constants of Heavy Vector Mesons in Relativistic Bethe-Salpeter Method
• Properties of $Q\bar{Q}$ $(Q\epsilon b,c)$ mesons in Coulomb plus Power potential
• Analysis of the vertices $D^{\ast }{D}_{s}K$, $D_s^{\ast }DK$,$D_0{D}_{s}K$ and $D_{s0}DK$ with the light-cone QCD sum rules
• New analysis of semileptonic B decays in the relativistic quark model
• Analysis of the vertices D^*D^* P, D^*D V and DDV with light-cone QCD sum rules
• Quenched lattice calculation of the B --> D l nu decay rate
• Study of the strong ${\Sigma }_c\to {\Lambda }_c\pi$, ${\Sigma }_c^{\ast }\to {\Lambda }_c\pi$ and ${\Xi }_c^{\ast }\to {\Xi }_c\pi$ decays in a nonrelativistic quark model
• Semileptonic $B\to \pi$ Decays from an Omnès Improved Nonrelativistic Constituent Quark Model
• Weak decays of ${\bar{B}}_s$ mesons
• Heavy and light meson wavefunctions
• Nonleptonic $B\to D^{(\ast )}{D}_{sJ}^{(\ast )}$ decays and the nature of the orbitally excited charmed-strange mesons
• Semileptonic decays of $B^{(\ast )}$, $D^{(\ast )}$ into $\nu l$ and pseudoscalar or vector mesons
• ${\tau }^{-}\to {\nu }_{\tau }{M}_1{M}_2$, with $M_1,M_2$ pseudoscalar or vector mesons
• Study of the strong ${\Sigma }_b\to {\Lambda }_b\pi$ and ${\Sigma }_b^{\ast }\to {\Lambda }_b\pi$ in a non-relativistic quark model
• Purely leptonic decays of the ground charged vector mesons
• ${\bar{B}}_s\to K$ semileptonic decay from an Omnès improved constituent quark model
• Study of semileptonic and nonleptonic decays of the $B_c^{-}$ meson
• Helicity amplitudes in $B\to D^{\ast }\bar{\nu }l$ decay
• Static and dynamic properties of hadronic systems with heavy quarks b and c