Using Heavy Quark Spin Symmetry in Semileptonic $B_c$ Decays

Abstract

The form factors parameterizing the B_c semileptonic matrix elements can be related to a few invariant functions if the decoupling of the spin of the heavy quarks in B_c and in the mesons produced in the semileptonic decays is exploited. We compute the form factors as overlap integral of the meson wave-functions obtained using a QCD relativistic potential model, and give predictions for semileptonic and non-leptonic B_c decay modes. We also discuss possible experimental tests of the heavy quark spin symmetry in B_c decays.

arXiv commentRevTex, 22 pages, 2 figures

References in corpus (25)

• Heavy Quark Symmetry
• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• Mesons with Beauty and Charm: Spectroscopy
• Observation of the B_c Meson in p-bar p Collisions at sqrt{s} = 1.8 TeV
• Observation of B_c Mesons in p-bar p Collisions at sqrt{s} = 1.8 TeV
• $B_c$ spectroscopy
• Hadrons with Charm and Beauty
• The $B_c$ Meson Lifetime
• Semileptonic $B_c$ Decay and Heavy Quark Spin Symmetry
• On Hadronic Production of the $B_c$ Meson
• PRODUCTION OF $B_c$ MESONS IN HADRONIC COLLISIONS
• Phenomenological prediction of the properties of the B_{C} system
• The B_c Meson Lifetime in the Light--Front Constituent Quark Model
• $D^{\ast }$ Radiative Decays and Strong Coupling of Heavy Mesons with Soft Pions in a QCD Relativistic Potential Model
• Comparative Study of the Hadronic Production of $B_c$ Mesons
• $B_c$ Mesons Production at Hadron Colliders by Heavy Quark Fragmentation
• Weak decays of doubly heavy hadrons
• Mesonic decay constants in lattice NRQCD
• A non-perturbative calculation of the mass of the Bc
• FCNC transitions $c\to u\gamma$ and $s\to d\gamma$ in $B_c\to B_u^{\ast }\gamma$ and $B_s\to B_d^{\ast }\gamma$ decays
• Perturbative predictions for B_c meson production in hadronic collisions
• Heavy Quark Kinetic Energy in B Mesons by a QCD Relativistic Potential Model
• A study on the rare radiative decay $B_c\to D_s^{\ast }\gamma$
• Determination of $|V_{cb}|$ from the polarization of vector meson in the semileptonic decay of $B$ and $B_c$ meson
• Prospects for the extraction of $\mid V_{cb}\mid$ from $B_c\to J/\psi {\mu }^{+}\nu$ decays at LHC

Cited by in corpus (121)

• Exclusive semileptonic and nonleptonic decays of the Bc meson
• Weak decays of the B_c meson to charmonium and D mesons in the relativistic quark model
• B_c Decays and Lifetime in QCD Sum Rules
• Study of exclusive semileptonic and nonleptonic decays of $B_c^{-}$ in a nonrelativistic quark model
• Constraint on the branching ratio of B_c \to tau nu from LEP1 and consequences for R(D(*)) anomaly
• The semileptonic decays of the B_c meson
• BCVEGPY: An Event Generator for Hadronic Production of the B_c Meson
• Evidence for the exclusive decay Bc+- to J/psi pi+- and measurement of the mass of the Bc meson
• CP Violation in the B System and Relations to $K\to \pi \nu \bar{\nu }$ Decays
• Some mass relations for mesons and baryons in Regge phenomenology
• Semileptonic decays of Bc mesons into charmonium states in a relativistic quark model
• Observation of $B_c^{+}\to J/\psi D_s^{+}$ and $B_c^{+}\to J/\psi D_s^{\ast +}$ decays
• Implications of new physics in the decays $B_c\to (J/\psi ,{\eta }_c)\tau \nu$
• Mass spectra of doubly heavy Omega_QQ' baryons
• First observation of the decay $B_c^{+}\to J/\psi K^{+}$
• Semileptonic and radiative decays of the B_c meson in light-front quark model
• Weak decays of the B_c meson to B_s and B mesons in the relativistic quark model
• $B_c$ Exclusive Decays to Charmonium and a Light Meson at Next-to-Leading Order Accuracy
• Observation of the decay Bc+ -> Bs0 pi+
• \large\bf $B_c\to (J/\Psi ,{\eta }_c)\tau \nu$ semileptonic decays within Standard model and beyond
• The decays $B_c\to J/\psi +\bar{\ell }{\nu }_{\ell }$ and $B_c\to J/\psi +\pi (K)$ in covariant confined quark model
• Semileptonic decays of $B_c$ meson to S-wave charmonium states in the perturbative QCD approach
• S-wave ground state charmonium decays of $B_c$ mesons in the perturbative QCD approach
• Estimation of Semileptonic Decays of $B_c$ Meson to S-wave Charmonia with NRQCD
• Spectroscopy, lifetime and decay modes of the $T_{bb}^{-}$ tetraquark
• Study of Bc --> J/psi pi, etac pi decays with perturbative QCD approach
• Observation of the decay $B_c^{+}\to \psi (2S){\pi }^{+}$
• The study of $B_c^{-}\to X(3872){\pi }^{-}(K^{-})$ Decays in the Covariant Light-Front Approach
• On lepton flavour universality in semileptonic $B_c\to {\eta }_c,J/\psi$ decays
• Decays of the $B_c$ Meson in a Relativistic Quark-Meson Model
• Bc Meson Formfactors and Bc-->PV Decays Involving Flavor Dependence of Transverse Quark Momentum
• Sensitivity to Majorana neutrinos in $\Delta L=2$ decays of $B_c$ meson at LHCb
• Hadronic production of the $P$-wave excited $B_c$-states ($B_{cJ,L=1}^{\ast }$)
• Measurement of the $B_c^{+}$ meson lifetime using $B_c^{+}\to J/\psi {\mu }^{+}{\nu }_{\mu }X$ decays
• Measurement of the lifetime of the $B_c^{+}$ meson using the $B_c^{+}\to J/\psi {\pi }^{+}$ decay mode
• The pure annihilation type B_c to M_2 M_3 decays in the perturbative QCD approach
• Exploring CP Violation with $B_c$ Decays
• The nonleptonic decays Bc->Ds antiD0 and Bc->Ds D0 in a relativistic quark model
• Study of Bc -> BP,BV Decays with QCD Factorization
• Two-particle decays of B_c meson into charmonium states
• Non-leptonic two-body decays of the Bc meson in light-front quark model and QCD factorization approach
• Measurement of the ratio of branching fractions $\mathcal{B}(B_c^{+}\to J/\psi K^{+})/\mathcal{B}(B_c^{+}\to J/\psi {\pi }^{+})$
• The $B_c\to \psi (2S)\pi$, ${\eta }_c(2S)\pi$ decays in the perturbative QCD approach
• Measurement of the ratio of $B_c^{+}$ branching fractions to $J/\psi {\pi }^{+}$ and $J/\psi {\mu }^{+}{\nu }_{\mu }$
• Measurement of the $B_c^{-}$ meson production fraction and asymmetry in 7 and 13 TeV $pp$ collisions
• Relativistic corrections to the form factors of $B_c$ into $S$-wave Charmonium
• Probing Non-leptonic Two-body Decays of $B_c$ meson
• Observation of the decay $B_c\to J/\psi K^{+}{K}^{-}{\pi }^{+}$
• Model-Independent Bounds on $R(J/\psi )$
• $B_c\to B_{sJ}$ form factors and $B_c$ decays into $B_{sJ}$ in covariant light-front approach
• Lepton flavor universality violation in semileptonic tree level weak transitions
• Study of Rare $B_c^{+}\to D_{d,s}^{(\ast )+}l\bar{l}$ Decays
• Light hadron production in $B_c\to J/\psi +X$ decays
• The mass spectrum and wave functions of the $B_c$ system
• Non-leptonic charmless Bc decays and their search at LHCb
• B_{c} meson and the light-heavy quarkonium spectrum
• Study of the $B_c^{+}\to J/\psi D_s^{+}$ and $B_c^{+}\to J/\psi D_s^{\ast +}$ decays with the ATLAS detector
• Study of $B_c$ decays into charmonia and $D$ mesons
• Covariant Light-Front Approach for $B_c$ Decays into Charmonium: Implications on Form Factors and Branching Ratios
• Phenomenological study of the $B_c$ $\to$ $BP$, $BV$ decays with perturbative QCD approach
• Measurement of the branching fraction ratio $\mathcal{B}(B_c^{+}\to \psi (2S){\pi }^{+})/\mathcal{B}(B_c^{+}\to J/\psi {\pi }^{+})$
• Decays of bottom mesons emitting pseudoscalar and tensor mesons in ISGW II model
• Improved perturbative QCD formalism for $B_c$ meson decays
• Gold-plated Mode of CP-Violation in Decays of B_c Meson from QCD Sum Rules
• Spectroscopic survey of higher-lying states of $B_c$ meson family
• Model-Independent Determination of $B_c^{+}\to {\eta }_c{\ell }^{+}\nu$ Form Factors
• Heavy Pseudoscalar Leading-Twist Distribution Amplitudes within QCD Theory in Background Fields
• Decays of $B$, $B_s$ and $B_c$ to $D$-wave heavy-light mesons
• Probing the $P$-wave charmonium decays of $B_c$ meson
• Semileptonic $B_c\to {\eta }_c,J/\psi$ transitions
• Heavy + heavy and heavy + light pseudoscalar to vector semileptonic transitions
• Mass spectra and decays of ground and orbitally excited $c\bar{b}$ states in non relativistic quark model
• Role of $B_c^{+}\to B_{s,d}^{(\ast )}\bar{\ell }{\nu }_{\ell }$ in the Standard Model and in the search for BSM signals
• The meson $B_c$ annihilation to leptons and inclusive light hadrons
• Exclusive nonleptonic Bc-meson decays to S-wave charmonium states
• Model-Independent Prediction of $R({\eta }_c)$
• The double charm decays of $B_c$ Meson in the Perturbative QCD Approach
• $B_c$ meson spectroscopy motivated by general features of pNRQCD
• Searching for doubly charmed tetraquark candidates $T_{cc}$ and $T_{cc\bar{s}}$ in $B_c$ decays
• Branching fractions of $B_{(c)}$ decays involving $J/\psi$ and $X(3872)$
• Lepton mass effects in exclusive semileptonic $B_c$-meson decays
• Branching ratio and CP violation of $B_c\to DK$ decays in the perturbative QCD approach
• Branching ratios of Bc Meson Decaying to Pseudoscalar and Axial-Vector Mesons
• Search for $B_c(ns)$ via the $B_c(ns)\to B_c(ms){\pi }^{+}{\pi }^{-}$ transition at LHCb and $Z_0$ factory
• Semileptonic $B_c^{-}\to D^{\ast 0}\ell \nu$ transition in three--point QCD sum rules and HQET with gluon condensate corrections
• Branching ratios of Bc Meson Decays into Tensor Meson in the Final State
• Study of $B_c$$\to$$J/\psi V$ and $B_c^{\ast }$$\to$${\eta }_{c}V$ decays within the QCD factorization
• Measurement of the $B_c^{\pm }$ production cross section in $p\bar{p}$ collisions at $\sqrt{s}=1.96$ TeV
• Relations among $B_c\to J/\psi ,{\eta }_c$ form factors
• $B_c$ $\to$ $BP$, $BV$ decays with the QCD factorization approach
• Light hadron production in $B_c\to B_s^{(\ast )}+X$ decays
• Study of B_{c}\to J/ψK decays in the perturbative QCD approach
• Non-relativistic quark-antiquark potential: spectroscopy of heavy-quarkonia and exotic SUSY quarkonia
• Branching ratios of $B_c$ Meson Decaying to Vector and Axial-Vector Mesons
• Exclusive semileptonic $B_c$-meson decays to radially excited charmonium and charm meson states
• Observation of the $B_c^{+}\to J/\psi {\pi }^{+}{\pi }^0$ decay
• Electroweak, QCD and flavour physics studies with ATLAS data from Run 2 of the LHC
• General analysis of the rare Bc->D^*_s l^+ l^- decay beyond the standard model
• $b\to c\tau \bar{\nu }$ decays in supersymmetry with $R$-parity violation
• Study of the $B_c$ $\to$ $B_s\pi$ decay with the perturbative QCD approach
• First Estimates of Nonleptonic $B_c\to AT$ Weak Decays
• Study of $B_c^{+}\to J/\psi D_s^{+}$ and $B_c^{+}\to J/\psi D_s^{\ast +}$ decays in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Semileptonic $B_c$ decays to $P-$wave charmonium and the nature of ${\chi }_{c1}(3872)$
• Semileptonic Decay of $B_c$ to ${\eta }_c$ and $J/\psi$ on the Light Front
• Investigation of rare semileptonic $B_c$ decays into $(D_{(}s,d{)}^{(}(\ast ))){\mu }^{+}{\mu }^{-}$ decays with non-universal $Z^{\prime }$ effect
• Semileptonic decay of $B_c$ meson into $c\bar{c}$ states in a QCD potential model
• Searching $B_c^{\ast }$ via conservation laws
• Measurement of the ratio of branching fractions $\mathcal{B}(B_c^{+}\to B_s^0{\pi }^{+})/\mathcal{B}(B_c^{+}\to J/\psi {\pi }^{+})$
• Exclusive Semileptonic Decays of Bc Meson
• Study of $B_c\to \psi (2S)K$, ${\eta }_c(2S)K$, $\psi (3770)K$ decays with perturbative QCD approach
• Lifetimes of b-flavoured hadrons
• Static and dynamic properties of hadronic systems with heavy quarks b and c
• Charmless $B_c\to VV$ decays in the QCD factorization approach
• The $b$ quark fragmentation fractions at LHCb and meson decays with heavy quark spectators
• Study of charm and beauty mass spectra, semileptonic decays of $B_{(s,c)}$ and $B_c\to J/\psi ({\eta }_c)+P(V)$ in a phenomenological potential model
• Nonleptonic $B_c$ decay rates from model independent relations
• Analysis of the form factors of $B_c\to D^{(\ast )}$, $D_s^{(\ast )}$ and their nonleptonic decays
• $c\to u\nu \bar{\nu }$ transitions of $B_c$ mesons: 331 model facing Standard Model null tests
• Rare Bc->Ds l^+ l^- decay beyond the standard model
• Study of $B_c\to J/\psi (a_1(1260)$, $b_1(1235)$, $a_2(1320)$, $K_2^{\ast }(1430))$ decay with a perturbative QCD approach
• Search for $B_{(s)}^{\ast 0}\to {\mu }^{+}{\mu }^{-}$ in $B_c^{+}\to {\pi }^{+}{\mu }^{+}{\mu }^{-}$ decays