Holographic study of the scalar meson $K_0^{\ast }(1430)$ with dynamical longitudinal confinement

Abstract

Within the framework of light-front holographic QCD, where transverse confinement is inherently realized through holography, the structure and mass spectrum of the light scalar meson $K_0^{\ast }(1430)$ are investigated by employing the invariant mass ansatz and enhancing the model with a longitudinal confinement potential (specifically, the 't Hooft equation and the analytically solvable LMZV potential). The combined transverse and longitudinal confinement dynamics lead to more reliable calculations of key observables, including decay constants, parton distribution function, $\xi$-moments, and twist-$2$ and twist-$3$ distribution amplitudes. Transition form factors for the semileptonic decay $B\to K_0^{\ast }{\ell }^{+}{\ell }^{-}$ are computed from these amplitudes, yielding predictions for differential branching ratios and longitudinal lepton polarization asymmetries as functions of $q^2$. The results are compared with other theoretical models, offering valuable insights into the non-perturbative dynamics of QCD. The predicted observables provide theoretically motivated benchmarks for future experimental investigations of $B\to K_0^{\ast }(1430){\ell }^{+}{\ell }^{-}$ decays at LHCb and Belle II.

arXiv comment25 pages, 10 figures

References in corpus (50)

• Weak Decays Beyond Leading Logarithms
• FLAG Review 2019
• Light-Front Holographic QCD and Emerging Confinement
• Effective Hamiltonian for $B \ra X_s e^+ e^-$ Beyond Leading Logarithms in the NDR and HV Schemes
• Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Covariant Light-Front Approach for s-wave and p-wave Mesons: Its Application to Decay Constants and Form Factors
• Generalized parton distributions in impact parameter space
• Light-Front Holography: A First Approximation to QCD
• Charmless hadronic B decays involving scalar mesons: Implications to the nature of light scalar mesons
• Structure of Vector Mesons in Holographic Model with Linear Confinement
• Light-Front Dynamics and AdS/QCD Correspondence: Gravitational Form Factors of Composite Hadrons
• Dalitz analysis of the three-body charmless decays B+=>K+Pi+Pi- and B+=>K+K+K-
• Vector meson leptoproduction and nonperturbative gluon fluctuations in QCD
• Heavy Quarkonium in a Holographic Basis
• Form Factors and Wave Functions of Vector Mesons in Holographic QCD
• Dalitz-plot analysis of the decays B+/- --> K+/- pi-/+ pi+/-
• Differential branching fraction and angular analysis of the decay ${\mathbf{B}}^0\to {\mathbf{K}}^{\ast 0}{\mathbf{\mu }}^{+}{\mathbf{\mu }}^{-}$
• Study of three-body charmless B decays
• Light-Front Holography and Gauge/Gravity Duality: The Light Meson and Baryon Spectra
• On the Couplings of Vector Mesons in AdS/QCD
• The $a_0(980)$, $a_0(1450)$ and $K_0^{\ast }(1430)$ Scalar Decay Constants and the Isovector Scalar Spectrum
• A dynamical model for longitudinal wave functions in light-front holographic QCD
• Amplitude Analysis of the Decay B+- -> pi+- pi+- pi-+
• Twist-3 light-cone distribution amplitudes of the scalar mesons within the QCD sum rules and their application to the $B\to S$ transition form factors
• $B_{(s)}\to S$ transitions in the light cone sum rules with the chiral current
• Semileptonic Decay of $B$ and $D\to K_0^{\ast }(1430)\bar{\ell }\nu$ From QCD Sum Rule
• Measurements of the Branching Fractions of Charged B Decays to K+-pi-+pi+- Final States
• Mass and Decay Constant of $I=1/2$ Scalar Meson In QCD Sum Rule
• Analysis of rare (B -> K_0*(1430) l^+ l^- decay) within QCD sum rules
• Light-front holography with chiral symmetry breaking
• Study of $B\to K_0^{\ast }(1430)\ell \bar{\ell }$ Decays
• Estimates of flavoured scalar production in B - decays
• Analysis of the decay constants of the heavy pseudoscalar mesons with QCD sum rules
• Longitudinal dynamics and chiral symmetry breaking in holographic light-front QCD
• Holographic Wave Functions, Meromorphization and Counting Rules
• Extracting the Distribution Amplitudes of the rho meson from the Color Glass Condensate
• Measurements of the Branching Fraction and CP-Violation Asymmetries in B^0-->f0(980)Ks
• Measurement of the Bs effective lifetime in the J/psi f0(980) final state
• $B\to K_0^{\ast }(1430)l^{+}{l}^{-}$ decays in supersymmetric theories
• Model of the AdS/QFT duality
• Search for B-Meson Decays to Two-Body Final States with a0(980) Mesons
• $K_0^{\ast }(1430)$ Twist-2 Distribution Amplitude and $B_s,D_s\to K_0^{\ast }(1430)$ Transition Form Factors
• $B-S$ transition form-factors with the light-cone QCD sum rules
• Longitudinal dynamics for mesons on the light cone
• Study of $B_{u,d,s}\to K_0^{\ast }(1430)P$ and $K_0^{\ast }(1430)V$ decays within QCD factorization
• Semileptonic $B_s\to K_0^{\ast }(1430)$ transitions with the light-cone sum rules
• Testing the Structure of the Scalar Meson $K_0^{\ast }(1430)$ in $\tau \to K_0^{\ast }(1430)\nu$ Decay
• Form factors of $B_{(s)}$ to light scalar mesons with the $B$-meson LCSR
• Hadron spectroscopy using the light-front holographic Schrödinger equation and the 't Hooft equation