Gluonic contribution to $B\to {\eta }^{(\prime )}$ form factors

Abstract

We calculate the flavor-singlet contribution to the $B\to {\eta }^{(\prime )}$ transition form factors from the gluonic content of the ${\eta }^{(\prime )}$ meson in the large-recoil region using the perturbative QCD approach. The formulation for the $\eta$-${\eta }^{\prime }$ mixing in the quark-flavor and singlet-octet schemes is compared, and employed to determine the chiral enhancement scales associated with the two-parton twist-3 ${\eta }^{(\prime )}$ meson distribution amplitudes. It is found that the gluonic contribution is negligible in the $B\to \eta$ form factors, and reaches few percents in the $B\to {\eta }^{\prime }$ ones. Its impact on the accommodation of the measured $B\to {\eta }^{(\prime )}K$ branching ratios in the perturbative QCD and QCD-improved factorization approaches is elaborated.

arXiv comment13 pages, 9 figures, a missing overall coefficient was included into the gluonic contribution. The numerical results were revised accordingly

References in corpus (46)

• New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
• Penguin Enhancement and $B\to K\pi$ decays in perturbative QCD
• Mixing and Decay Constants of Pseudoscalar Mesons
• Fat penguins and imaginary penguins in perturbative QCD
• Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• Asymptotics of Heavy-Meson Form Factors
• Higher-Twist Distribution Amplitudes of the K Meson in QCD
• Quark structure of pseudoscalar mesons
• Mixing and Decay Constants of Pseudoscalar Mesons: The Sequel
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• Flavor-Singlet B-Decay Amplitudes in QCD Factorization
• Extraction of $V_{ub}$ from the Decay $B\to \pi l\nu$
• B to light meson transition form factors calculated in perturbative QCD approach
• Resolution to the B -> pi K puzzle
• Perturbative QCD Analysis of $B$ Meson Decays
• Threshold resummation for exclusive B meson decays
• Two body B decays with isosinglet final states in SCET
• Study of the eta-eta' system in the two mixing angle scheme
• The two-gluon components of the eta and eta' mesons to leading-twist accuracy
• Perturbative QCD analysis of $B\to \varphi K$ decays and Power counting
• Threshold resummation for nonleptonic B meson decays
• The systematic study of $B\to \pi$ form factors in pQCD approach and its reliability
• B -> K eta(') decay in perturbative QCD
• On the ${\eta }^{\prime }$ Gluonic Admixture
• A New Mechanism for $B^{\pm }\to {\eta }^{\prime }{K}^{\pm }$ in Perturbative QCD
• $B$ meson wave function in $k_T$ factorization
• Isospin symmetry breaking through pi^0 - eta -eta' mixing
• SCET Analysis of B -> K pi, B -> K Kbar, and B -> pi pi Decays
• The ${\eta }^{\prime }{g}^{\ast }{g}^{\ast }$ vertex with arbitrary gluon virtualities in the perturbative QCD hard scattering approach
• ${\eta }^{\prime }-g^{\ast }-g$ Transition Form Factor with Gluon Content Contribution Tested
• Understanding the penguin amplitude in $B\to \varphi K$ decays
• Probing New Physics in $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ decays
• B meson wave function from the $B\to \gamma l\nu$ decay
• An Analysis of the Inclusive Decay ${\rm Y}(1S)\to {\eta }^{\prime }X$ and Constraints on the ${\eta }^{\prime }$-Meson Distribution Amplitudes
• Uncertainty in the leading order PQCD calculations of $B$ meson decays
• The ${\eta }^{\prime }{g}^{\ast }{g}^{(\ast )}$ Vertex Including the ${\eta }^{\prime }$-Meson Mass
• The gluon content of the $\eta$ and ${\eta }^{\prime }$ mesons and the $\eta \gamma$, ${\eta }^{\prime }\gamma$ electromagnetic transition form factors
• B -> eta^(\prime) l nu decays and the flavor-singlet form factor
• An Analysis of $B\to {\eta }^{\prime }K$ Decays Using a Global Fit in QCD Factorization
• On the Short Distance Part of the QCD Anomaly Contribution to the b --> s eta' Amplitude
• Power corrections to the space-like transition form factor F_{η^{\prime}g^{*}g^{*}}(Q^2,ω)
• Analysis of new charmless strange B decay data leaves high $B\to K{\eta }^{\prime }$ and $B\to K{\eta }^{\prime }X$ still unexplained
• Penguin induced (B -> eta) transition form factor in light cone QCD
• Soft Gluons in Logarithmic Summations
• On the Singlet Penguin in B --> K eta' decay

Cited by in corpus (50)

• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Heavy-to-light form factors on the light cone
• eta - eta prime Mixing -From electromagnetic transitions to weak decays of charm and beauty hadrons
• Pseudoscalar glueball mass from $\eta$-${\eta }^{\prime }$-$G$ mixing
• Composition of the Pseudoscalar Eta and Eta' Mesons
• B->eta(') Form Factors in QCD
• Transition form factors ${\gamma }^{\ast }\gamma \to \eta$ and ${\gamma }^{\ast }\gamma \to {\eta }^{\prime }$ in QCD
• Branching ratios and CP asymmetries of $B\to K{\eta }^{(\prime )}$ decays in the pQCD approach
• Charmless Two-body $B(B_s)\to VP$ decays In Soft-Collinear-Effective-Theory
• Form factors of B, Bs -> eta, eta' and D, Ds -> eta, eta' transitions from QCD light-cone sum rules
• The pure annihilation type B_c to M_2 M_3 decays in the perturbative QCD approach
• Anatomy of $B\to K{\eta }^{(\prime )}$ decays in different mixing schemes and effects of next-to-leading order contributions in the perturbative QCD approach
• $|V_{ub}|$ and $B\to {\eta }^{{(}^{\prime })}$ Form Factors in Covariant Light Front Approach
• Semileptonic decays $B/B_s \to (η,\etar, G)(l^+l^-,l\barν,ν\barν)$ in the perturbative QCD approach beyond the leading order
• Implications on $\eta$-${\eta }^{\prime }$-glueball mixing from $B_{d/s}\to J/\Psi {\eta }^{{(}^{\prime })}$ Decays
• $B\to {\eta }^{(\prime )}({\ell }^{-}{\bar{\nu }}_{\ell },{\ell }^{+}{\ell }^{-},K,K^{\ast })$ decays in the quark-flavor mixing scheme
• Rare $B_s$ decays to $\eta$ and ${\eta }^{\prime }$ final states
• Phenomenological study of the $B_c$ $\to$ $BP$, $BV$ decays with perturbative QCD approach
• ${\eta }_c$ mixing effects on charmonium and $B$ meson decays
• Branching Ratio and CP Asymmetry of $B^0\to {\eta }^{(\prime )}{\eta }^{(\prime )}$ Decays in the Perturbative QCD Approach
• Constraints on the anomalous tensor operators from B\toϕK^{\ast}, ηK^{\ast}$ and ηK decays
• B \to K_0^*(1430) η^{(\prime)} decays in the pQCD approach
• $B^0\to \omega {\eta }^{(\prime )}$ and $\varphi {\eta }^{(\prime )}$ decays in the perturbative QCD approach
• Branching Ratio and CP Asymmetry of $B_s\to {\pi }^0{\eta }^{(\prime )}$ Decays in the perturbative QCD Approach
• Gauge Invariance and k_T-Factorization of Exclusive Processes
• Anatomy of $B_s\to PV$ decays and effects of next-to-leading order contributions in the perturbative QCD factorization approach
• $B \to f_0(980) (π,\etapp)$ Decays in the PQCD Approach
• Okubo-Zweig-Iizuka-rule violation and B\to η^{(\prime)}K branching ratios
• Exclusive processes $e^{+}{e}^{-}\to VP$ in $k_T$ factorization
• Recent Developments on the CKM Matrix
• Anomalous enhancement of a penguin hadronic matrix element in B->K eta'
• Nonet symmetry in η, η^{\prime} and B\to Kη,Kη^{\prime} decays
• ${\eta }^{(\prime )}$ productions in semileptonic B decays
• Strong $D_s^{\ast }{D}_s{\eta }^{(\prime )}$ and $B_s^{\ast }{B}_s{\eta }^{(\prime )}$ vertices from QCD light-cone sum rules
• Properties of the ${\eta }_q$ leading-twist distribution amplitude and its effects to the $B/D^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ decays
• $B$-to-Glueball form factor and Glueball production in $B$ decays
• Perturbative QCD Analysis of Exclusive Processes $e^{+}{e}^{-}\to VP$ and $e^{+}{e}^{-}\to TP$
• f_0(1710) production in exclusive B decays
• $B_{(s)}\to {\eta }_c(P,V)$ decays and effects of the next-to-leading order contributions in the perturbative QCD approach
• Anatomy of $B_s\to PP$ decays and effects of the next-to-leading order contributions in the perturbative QCD approach
• Mixing effects of $\eta -{\eta }^{\prime }$ in ${\Lambda }_b\to \Lambda {\eta }^{{(}^{\prime })}$ decays
• Gravitational form factors in the perturbative limit
• Charmless hadronic $B\to (f_1(1285),f_1(1420))P$ decays in the perturbative QCD approach
• $B_s^0\to {\eta }^{(\prime )}{\eta }^{(\prime )}$ decays in the pQCD approach
• Quasi-two-body decays $B\to P{f}_0(500)\to P{\pi }^{+}{\pi }^{-}$ in the perturbative QCD approach
• Quark distributions and gluon contents of eta and etaprime
• Sub-leading power corrections to transition form factors of $\eta$ and ${\eta }^{\prime }$ mesons from twist-six contributions
• An analysis of B meson decays to two light pseudoscalar nonets with deltaS=1 in QCD factorization approach
• Soft end-point and mass corrections to the eta' g*g* vertex function
• $B\to K\eta ,K{\eta }^{\prime }$ Decays