Semileptonic decays of $B^{(\ast )}$, $D^{(\ast )}$ into $\nu l$ and pseudoscalar or vector mesons

Abstract

We perform a study of the $B^{(\ast )}$, $D^{(\ast )}$ semileptonic decays, using a different method than in conventional approaches, where the matrix elements of the weak operators are evaluated and a detailed spin-angular momentum algebra is performed to obtain very simple expressions at the end for the different decay modes. Using only one experimental decay rate in the $B$ or $D$ sectors, the rates for the rest of decay modes are predicted and they are in good agreement with experiment. Some discrepancies are observed in the $\tau$ decay mode for which we find an explanation. We perform evaluations for $B^{\ast }$ and $D^{\ast }$ decay rates that can be used in future measurements, now possible in the LHCb collaboration.

27 pages, 4 figures, 8 tables

References in corpus (13)

• On the B to D* tau nu Sensitivity to New Physics
• Test of Lepton Flavor Universality by the measurement of the $B^0\to D^{\ast -}{\tau }^{+}{\nu }_{\tau }$ branching fraction using three-prong $\tau$ decays
• Measurement of the ratio of branching fractions $\mathcal{B}(B_c^{+}\to J/\psi {\tau }^{+}{\nu }_{\tau })$/$\mathcal{B}(B_c^{+}\to J/\psi {\mu }^{+}{\nu }_{\mu })$
• Exclusive semileptonic and nonleptonic decays of the Bc meson
• $R(D^{\ast })$, $|V_{cb}|$, and the Heavy Quark Symmetry relations between form factors
• Study of exclusive semileptonic and nonleptonic decays of $B_c^{-}$ in a nonrelativistic quark model
• Lepton universality violation and right-handed currents in $b\to c\tau \nu$
• QCD Sum Rules Study of the Semileptonic $B_s(B^{\pm })(B^0)\to D_s[1968](D^0)(D^{\pm })l\nu$ Decays
• Semileptonic $B_q\to D_q^{\ast }l\nu$ $(q=s,d,u)$ Decays in QCD Sum Rules
• Study of semileptonic ${\bar{B}}^{\ast }\to P\ell {\bar{\nu }}_{\ell }$ decays
• Pseudoscalar or vector meson production in non-leptonic decays of heavy hadrons
• Semileptonic $B_c^{-}\to D^{\ast 0}\ell \nu$ transition in three--point QCD sum rules and HQET with gluon condensate corrections
• $B_s$ Semileptonic Decays to $D_s$ and $D_s^{\ast }$ in Bethe-Salpeter Method

Cited by in corpus (10)

• Semileptonic $D_{(s)}$-meson decays in the light of recent data
• Investigation of Effects of New Physics in $c\to (s,d){\ell }^{+}{\nu }_{\ell }$ Transitions
• ${\tau }^{-}\to {\nu }_{\tau }{M}_1{M}_2$, with $M_1,M_2$ pseudoscalar or vector mesons
• Signatures of the two $K_1(1270)$ poles in $D^{+}\to \nu e^{+}VP$ decay
• Muon mass correction in partial wave analyses of charmed meson semi-leptonic decays
• $B_c^{\ast }$ meson parameters and radiative decay width within the covariant confined quark model
• Helicity amplitudes in $B\to D^{\ast }\bar{\nu }l$ decay
• Higher-twist corrections to $D\to \pi ,K$ form factors from light-cone sum rules
• Meson exchange between initial and final state and the $R_D$ ratio in the $\bar{B}\to D\bar{\nu }\ell ({\bar{\nu }}_{\tau }\tau )$ reactions
• Helicity amplitudes in the $\bar{B}\to D^{\ast }{\bar{\nu }}_{\tau }\tau$ decay with $V-A$ breaking in the quark sector