$B_c$ to $A$ Transition Form Factors and Semileptonic Decays in Self-consistent Covariant Light-front Approach

Abstract

We present a comprehensive analysis of the semileptonic weak decays of $B_c$ meson decaying to axial-vector ($A$) mesons for bottom-conserving and bottom-changing decay modes. We employ self-consistent covariant light-front quark model (CLFQM) that uses type-II correspondence to eliminate inconsistencies in the traditional type-I CLFQM. As a fresh attempt, we test the self-consistency in CLFQM through type-II correspondence for $B_c\to A$ meson transition form factors. We establish that in type-II correspondence the form factors for longitudinal and transverse polarization states are numerically equal and are free from zero-mode contributions, which confirms the self-consistency of type-II correspondence for $B_c\to A$ transition form factors. Furthermore, we ascertain that the problems of inconsistency and violation of covariance of CLFQM within the type-I correspondence are resolved in type-II correspondence for $B_c\to A$ transitions. We thoroughly investigate the effects of self-consistency between type-I and type-II schemes using a comparative analysis. We also study the $q^2$ dependence of the form factors in weak hadronic currents for the whole accessible kinematic range $0⩽q^2⩽q_{max}^2$ for both bottom-conserving as well as bottom-changing transitions. In addition, we extend our analysis to predict the branching ratios of the semileptonic weak decays of $B_c$ meson involving axial-vector meson in the final state to quantify the effects of self-consistency in these decays that were not studied before. We evaluate the lepton mass effect on these branching ratios and various other important physical observables, such as forward-backward asymmetries, lepton-side convexity parameter, asymmetry parameter, and longitudinal polarization asymmetries and fractions. Finally, we obtain the lepton flavor universality ratios for various decays.

arXiv comment77 pages, 17 figures, 9 tables. Revised manuscript

References in corpus (113)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Heavy Quark Symmetry
• 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
• Effective field theories for heavy quarkonium
• 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 $\mathcal{B}({\overline{B}}^0\to D^{\ast +}{\tau }^{-}{\overline{\nu }}_{\tau })/\mathcal{B}({\overline{B}}^0\to D^{\ast +}{\mu }^{-}{\overline{\nu }}_{\mu })$
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• A review of the open charm and open bottom systems
• Covariant Light-Front Approach for s-wave and p-wave Mesons: Its Application to Decay Constants and Form Factors
• Weak form factors for heavy meson decays: an update
• 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
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2021
• Observation of the B_c Meson in p-bar p Collisions at sqrt{s} = 1.8 TeV
• Explicitly Covariant Light-Front Dynamics and Relativistic Few-Body Systems
• Nonperturbative Light-Front QCD
• 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
• Comment on the heavy-->light form factors
• Observation of B_c Mesons in p-bar p Collisions at sqrt{s} = 1.8 TeV
• Properties of Excited Charm and Charm-Strange Mesons
• Leptonic and Semileptonic Decays of Charm and Bottom Hadrons
• Mesonic Form Factors and the Isgur-Wise Function on the Light-Front
• Decay constants and form factors of s-wave and p-wave mesons in the covariant light-front quark model
• Evidence for a $B_s^0{\pi }^{\pm }$ State
• Study of exclusive semileptonic and nonleptonic decays of $B_c^{-}$ in a nonrelativistic quark model
• Covariant Light-Front Approach for $B_c$ transition form factors
• B-meson decay constants: a more complete picture from full lattice QCD
• Observation of the Decay $B_c^{\pm }\to J/\psi {\pi }^{\pm }$ and Measurement of the $B_c^{\pm }$ Mass
• Observation of an Excited $B_c^{\pm }$ Meson State with the ATLAS Detector
• Exact Light-Cone Wavefunction Representation of Matrix Elements of Electroweak Current
• Measurement of the Bc meson mass in the exclusive decay Bc --> Jpsi Pi
• Observation of two excited B${}_{\mathrm{c}}^{+}$ states and measurement of the B${}_{\mathrm{c}}^{+}$(2S) mass in pp collisions at $\sqrt{s}=$ 13 TeV
• Evidence for the exclusive decay Bc+- to J/psi pi+- and measurement of the mass of the Bc meson
• Measurements of $B_c^{+}$ production and mass with the $B_c^{+}\to J/\psi {\pi }^{+}$ decay
• Search for structure in the $B_s^0{\pi }^{\pm }$ invariant mass spectrum
• Branching fractions of semileptonic $D$ and $D_s$ decays from the covariant light-front quark model
• First observation of the decay $B_c^{+}\to J/\psi K^{+}$
• Measurement of $B_c^{+}$ production in proton-proton collisions at $\sqrt{s}=8$ TeV
• Regularizing the Divergent Structure of the Light-Front Currents
• Semileptonic and radiative decays of the B_c meson in light-front quark model
• Pairs in the light-front and covariance
• Consistent treatment of spin-1 mesons in the light-front formalism
• Observation of an excited $B_c^{+}$ state
• Beauty mesons in lattice QCD with exact chiral symmetry
• Observation of the decay Bc+ -> Bs0 pi+
• Nonvanishing zero modes in the light-front current
• Measurement of the lifetime of the B_c meson in the semileptonic decay channel
• Observation of the decay $B_c^{+}\to \psi (2S){\pi }^{+}$
• Decoding the $X(5568)$ as a fully open-flavor $su\bar{b}\bar{d}$ tetraquark state
• $B_c$ to P-Wave Charmonia Transitions in Covariant Light-Front Approach
• Search for the X(5568) state decaying into ${\mathrm{B}}_{\mathrm{s}}^0{\pi }^{\pm }$ in proton-proton collisions at $\sqrt{s}=$ 8 TeV
• Semileptonic and nonleptonic decays of B_c mesons to orbitally excited heavy mesons in the relativistic quark model
• Analyses of decay constants and light-cone distribution amplitudes for s-wave heavy meson
• Perturbative QCD Analysis of Near Threshold Heavy Quarkonium Photoproduction at Large Momentum Transfer
• Transition Form Factors between Pseudoscalar and Vector Mesons in Light-Front Dynamics
• Measurement of the lifetime of the $B_c^{+}$ meson using the $B_c^{+}\to J/\psi {\pi }^{+}$ decay mode
• Self-consistent covariant description of vector meson decay constants and chirality-even quark-antiquark distribution amplitudes up to twist-3 in the light-front quark model
• Exclusive semileptonic B_s decays to excited D_s mesons: Search of D_{sJ}(2317) and D_{sJ}(2460)
• Study on $B_s\to D_{sJ}(2317,2460)l\bar{\nu }$ Semileptonic Decays in the CQM Model
• Search for a Structure in the $B_s^0{\pi }^{\pm }$ Invariant Mass Spectrum with the ATLAS Experiment
• Self-consistency and covariance of light-front quark models: testing via $P$, $V$ and $A$ meson decay constants, and $P\to P$ weak transition form factors
• Analysis of the strong decay $X(5568)\to B_s^0{\pi }^{+}$ with QCD sum rules
• The $B_c$ Decays to $P$-wave Charmonium by Improved Bethe-Salpeter Approach
• Measurement of the ratio of $B_c^{+}$ branching fractions to $J/\psi {\pi }^{+}$ and $J/\psi {\mu }^{+}{\nu }_{\mu }$
• $B->\pi l\nu$ Form Factors Calculated on the Light-Front
• Heavy-to-light meson form factors at large recoil
• Measurement of the $B_c^{-}$ meson production fraction and asymmetry in 7 and 13 TeV $pp$ collisions
• Revisiting the form factors of $P\to V$ transition within the light-front quark models
• Form factors of $V^{\prime }\to V^{\prime \prime }$ transition within the light-front quark models
• $B_c\to B_{sJ}$ form factors and $B_c$ decays into $B_{sJ}$ in covariant light-front approach
• Radiative Leptonic Decays of $B_c$ Meson
• Study of the $X^{\pm }(5568)$ state with semileptonic decays of the $B_s^0$ meson
• $B_c\to B_{s(d)}$ form factors from lattice QCD
• Determination of quantum numbers for several excited charmed mesons observed in $B^{-}\to D^{\ast +}{\pi }^{-}{\pi }^{-}$ decays
• Dispersion approach to quark-binding effects in weak decays of heavy mesons
• Study of $B_c^{+}$ decays to the $K^{+}{K}^{-}{\pi }^{+}$ final state and evidence for the decay $B_c^{+}\to {\chi }_{c0}{\pi }^{+}$
• Observation of $B_c^{+}\to D^0{K}^{+}$ decays
• Disentangling Intertwined Embedded States and Spin Effects in Light-Front Quantization
• A Covariant Light-Front Model of Heavy Mesons within HQET
• A comprehensive study on the semileptonic decay of heavy flavor mesons
• Study of the $B_c^{+}\to J/\psi D_s^{+}$ and $B_c^{+}\to J/\psi D_s^{\ast +}$ decays with the ATLAS detector
• Two-loop QCD Corrections to $B_c$ Meson Leptonic Decays
• Towards establishing an abundant $B$ and $B_s$ spectrum up to the second orbital excitations
• Covariant Light-Front Approach for $B_c$ Decays into Charmonium: Implications on Form Factors and Branching Ratios
• Dispersive Approach to Semileptonic Form-Factors in Heavy-to-Light Meson Decays
• Measurement of the branching fraction ratio $\mathcal{B}(B_c^{+}\to \psi (2S){\pi }^{+})/\mathcal{B}(B_c^{+}\to J/\psi {\pi }^{+})$
• Search for excited $B_c^{+}$ states
• m_c and m_b from M_B_c and improved estimate of f_B_c and f_B_c (2S)
• The Pure Leptonic Decays of B_c Meson and Their Radiative Corrections
• The $B_c(B_c^{\ast })$ meson production via the proton-nucleus and the nucleus-nucleus collision modes at the colliders RHIC and LHC
• Observation of $B_c^{+}\to J/\psi D^{(\ast )}{K}^{(\ast )}$ decays
• Semileptonic B_{c} to P-Wave Charmonia Transitions within QCD Sum Rules
• Self-consistent light-front quark model analysis of $B\to D\ell {\nu }_{\ell }$ transition form factors
• Tensor form factors of $P\to P,S,V$ and $A$ transitions within the standard and the covariant light-front approaches
• $B_c$ excitations at LHC experiments
• Role of $B_c^{+}\to B_{s,d}^{(\ast )}\bar{\ell }{\nu }_{\ell }$ in the Standard Model and in the search for BSM signals
• Precision measurement of the $B_c^{+}$ meson mass
• Radiative Leptonic $B_c\to \gamma \ell \bar{\nu }$ Decay in Effective Field Theory beyond Leading Order
• Search for $B_c^{+}$ decays to two charm mesons
• $B\to D_1(2420)$ and $B\to D_1^{\prime }(2430)$ form factors from QCD light-cone sum rules
• Study of the $B_c^{+}$ decays into charmonia and three light hadrons
• Mixing angle and decay constants of $J^P=1^{+}$ heavy-light mesons
• Measurement of the $B_c^{\pm }$ production cross section in $p\bar{p}$ collisions at $\sqrt{s}=1.96$ TeV
• Semileptonic decays of $B_c$ meson to $P$-wave charmonium states
• Measurement of the relative $B_c^{\pm }/B^{\pm }$ production cross section with the ATLAS detector at $\sqrt{s}=8$ TeV
• $D_{sJ}(2860)$ From The Semileptonic Decays Of $B_s$ Mesons
• Hadron Spectroscopy and Dynamics from Light-Front Holography and Superconformal Algebra
• 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
• Weak transition form factors of heavy-light pseudoscalar mesons for space- and timelike momentum transfers
• Semileptonic $B_c$ decays to $P-$wave charmonium and the nature of ${\chi }_{c1}(3872)$
• Updated search for $B_c^{+}$ decays to two charm mesons
• Measurement of the ratio of branching fractions $\mathcal{B}(B_c^{+}\to B_s^0{\pi }^{+})/\mathcal{B}(B_c^{+}\to J/\psi {\pi }^{+})$

Cited by in corpus (2)

• Systematic analysis of the form factors of $B_c$ to $P$-wave charmonia and corresponding weak decays
• Weak Annihilation Contribution to Angular Observables in $B_c^{+}\to D^{\ast +}{\ell }^{+}{\ell }^{-}$ Decays