${\Lambda }_b\to {\Lambda }_c$ Form Factors from QCD Light-Cone Sum Rules

Abstract

In this work, we calculate the transition form factors of ${\Lambda }_b$ decaying into ${\Lambda }_c$ within the framework of light-cone sum rules with the distribution amplitudes (DAs) of ${\Lambda }_b$-baryon. In the hadronic representation of the correlation function, we have isolated both the ${\Lambda }_c$ and the ${\Lambda }_c^{\ast }$ states so that the ${\Lambda }_b\to {\Lambda }_c$ form factors can be obtained without ambiguity. We investigate the P-type and A-type current to interpolate the light baryons for a comparison since the interpolation current for the baryon state is not unique. We also employ three parametrization models for DAs of ${\Lambda }_b$ in the numerical calculation. We present the numerical predictions on the ${\Lambda }_b\to {\Lambda }_c$ form factors and the branching fractions, the averaged forward-backward asymmetry , the averaged final hadron polarization and the averaged lepton polarization of the ${\Lambda }_b\to {\Lambda }_c\ell \mu$ decays, as well as the ratio of branching ratios $R_{{\Lambda }_c}$, and the predicted $R_{{\Lambda }_c}$ can be consistent with the LHCb data.

arXiv comment22 pages, 2figure

References in corpus (50)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• Evidence for an excess of B -> D(*) Tau Nu decays
• Measurement of an Excess of B -> D(*) Tau Nu Decays and Implications for Charged Higgs Bosons
• Measurement of the branching ratio of $\bar{B}\to D^{(\ast )}{\tau }^{-}{\bar{\nu }}_{\tau }$ relative to $\bar{B}\to D^{(\ast )}{\ell }^{-}{\bar{\nu }}_{\ell }$ decays with hadronic tagging at Belle
• Measurement of the ratio of branching fractions $\mathcal{B}({\overline{B}}^0\to D^{\ast +}{\tau }^{-}{\overline{\nu }}_{\tau })/\mathcal{B}({\overline{B}}^0\to D^{\ast +}{\mu }^{-}{\overline{\nu }}_{\mu })$
• Measurement of the $\tau$ lepton polarization and $R(D^{\ast })$ in the decay $\bar{B}\to D^{\ast }{\tau }^{-}{\bar{\nu }}_{\tau }$
• Measurement of the branching ratio of ${\bar{B}}^0\to D^{\ast +}{\tau }^{-}{\bar{\nu }}_{\tau }$ relative to ${\bar{B}}^0\to D^{\ast +}{\ell }^{-}{\bar{\nu }}_{\ell }$ decays with a semileptonic tagging method
• Measurement of the ratio of the $B^0\to D^{\ast -}{\tau }^{+}{\nu }_{\tau }$ and $B^0\to D^{\ast -}{\mu }^{+}{\nu }_{\mu }$ branching fractions using three-prong $\tau$-lepton decays
• Measurement of the ratio of branching fractions $\mathcal{B}(B_c^{+}\to J/\psi {\tau }^{+}{\nu }_{\tau })$/$\mathcal{B}(B_c^{+}\to J/\psi {\mu }^{+}{\nu }_{\mu })$
• ${\Lambda }_b\to p{\ell }^{-}{\bar{\nu }}_{\ell }$ and ${\Lambda }_b\to {\Lambda }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ form factors from lattice QCD with relativistic heavy quarks
• Review of Lepton Universality tests in B decays
• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• Form Factors and Strong Couplings of Heavy Baryons from QCD Light-Cone Sum Rules
• Light-Cone Distribution Amplitudes for Heavy-Quark Hadrons
• QCD corrections to $B\to \pi$ form factors from light-cone sum rules
• Weak Decays of Heavy Baryons in Light-Front Approach
• Perturbative Corrections to ${\Lambda }_b\to \Lambda$ Form Factors from QCD Light-Cone Sum Rules
• $B$-Meson Distribution Amplitude from the $B\to \pi$ Form Factor
• QED Corrections in $\bar{B}\to \bar{K}{\ell }^{+}{\ell }^{-}$ at the Double-Differential Level
• Rare Decays of Λ_b->Λ+ γand Λ_b ->Λ+ l^{+} l^{-} in the Light-cone Sum Rules
• Precision calculations of $B\to V$ form factors in QCD
• QCD Sum Rule Analysis for the Λ_b to Λ_c Semileptonic Decay
• Perturbative corrections to $B\to D$ form factors in QCD
• Form Factors and Decay Rates for Heavy $\Lambda$ Semileptonic Decays from QCD Sum Rules
• Observation of the decay ${\Lambda }_b^0\to {\Lambda }_c^{+}{\tau }^{-}{\overline{\nu }}_{\tau }$
• Semitauonic $b$-hadron decays: A lepton flavor universality laboratory
• Precise predictions for ${\Lambda }_b\to {\Lambda }_c$ semileptonic decays
• Semileptonic decays of ${\Lambda }_b$ baryons in the relativistic quark model
• Recent Anomalies in B Physics
• QCD calculations of $B\to \pi ,K$ form factors with higher-twist corrections
• New predictions for ${\Lambda }_b\to {\Lambda }_c$ semileptonic decays and tests of heavy quark symmetry
• ${\Lambda }_b\to p,\Lambda$ transition form factors from QCD light-cone sum rules
• Distribution Amplitudes of the Lambda_b Baryon in QCD
• Revisiting ${\Lambda }_b\to {\Lambda }_c$ and ${\Sigma }_b\to {\Sigma }_c$ weak decays in the light-front quark model
• Combined nonrelativistic constituent quark model and heavy quark effective theory study of semileptonic decays of Λ_b and Ξ_b baryons
• Light-Cone Distribution Amplitudes of the Ground State Bottom Baryons in HQET
• Light-cone QCD sum rules for the semileptonic decay Lambda_b --> p lepton anti-neutrino
• $B_{d,s}\to \gamma \ell \bar{\ell }$ decay with an energetic photon
• The semi-leptonic and non-leptonic weak decays of ${\Lambda }_b^0$
• Semileptonic ${\Lambda }_b\to {\Lambda }_c\ell {\bar{\nu }}_{\ell }$ Transition in Full QCD
• The semi-leptonic form factors of ${\Lambda }_b\to {\Lambda }_c$ and ${\Xi }_b\to {\Xi }_c$ in QCD sum rules
• Revisiting semileptonic decays of ${\Lambda }_{b(c)}$ supported by baryon spectroscopy
• Note on the Slope Parameter of the Baryonic Λ_b to Λ_c Isgur-Wise Function
• Applicability of perturbative QCD to ${\Lambda }_b\to {\Lambda }_c$ decays
• Diquarks and the Semi-Leptonic Decay of ${\Lambda }_b$ in the Hybrid Scheme
• Endpoint Relations for Baryons
• Choice of heavy baryon currents in QCD sum rules
• Renormalization group equation improved analysis of $B\to \pi$ form factors from Light-Cone Sum Rules
• Semileptonic Transition of ${\Lambda }_b$ Baryon
• Heavy baryon wave functions, Bakamjian-Thomas approach to form factors, and observables in ${\Lambda }_b\to {\Lambda }_c\left({\frac{1}{2}}^{\pm }\right)\ell \overline{\nu }$ transitions

Cited by in corpus (8)

• Investigating the transition form factors of ${\Lambda }_b\to {\Lambda }_c(2625)$ and ${\Xi }_b\to {\Xi }_c(2815)$ and the corresponding weak decays with support from baryon spectroscopy
• Heavy quark symmetry of ${\Lambda }_b^0$ decays in quark models
• Baryonic heavy-to-light form factors induced by tensor current in light-front approach
• The study of weak decays induced by ${\frac{1}{2}}^{+}\to {\frac{3}{2}}^{-}$ transition in light-cone sum rules
• Analysis of the semileptonic decays ${\Lambda }_b\to {\Lambda }_{c}l{\bar{\nu }}_l$ and ${\Xi }_b\to {\Xi }_{c}l{\bar{\nu }}_l$ in QCD sum rules
• Form factors of ${\Lambda }_b^0\to {\Lambda }_c(2595{)}^{+}$ within light-cone QCD sum rules
• Analysis of the semileptonic decays of ${\Xi }_{cc}$ and ${\Omega }_{cc}$ baryons in QCD sum rules
• Lepton number violating and conserving heavy baryon four-body decays in the presence of two almost degenerate heavy neutrinos