Theoretical Update of Pseudoscalar Meson Distribution Amplitudes of Higher Twist: The Nonsinglet Case

Abstract

We discuss the two and three particle light-cone distribution amplitudes (DAs) of pseudoscalar nonsinglet mesons of twist 3 and 4. Using nonlocal operator identities and conformal expansion, we derive closed expressions for several DAs. We also include meson-mass corrections which prove to be dominant in the twist 4 DAs of K and eta mesons. Explicit parametrizations for the DAs of pi, K and eta mesons are given, with the numerical input parameters determined from QCD sum rules.

18 pages Latex plus two postscript figures; JHEP package required

Cited by in corpus (281)

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• New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
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• The Uses of Conformal Symmetry in QCD
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• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
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• Branching Ratio and CP Asymmetry of $B\to \pi {\eta }^{(\prime )}$ Decays in the Perturbative QCD Approach
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• $P$-wave charmed baryons of the $SU(3)$ flavor $6_F$
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• 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
• Decay properties of $P$-wave heavy baryons accompanied by vector mesons within light-cone sum rules
• Determination of the pion distribution amplitude
• Branching ratio and CP violation of $B_s\to \pi K$ decays in the perturbative QCD approach
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• Light-cone Distribution Amplitudes of Xi and their Applications
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• Semileptonic decays $B/B_s \to (η,\etar, G)(l^+l^-,l\barν,ν\barν)$ in the perturbative QCD approach beyond the leading order
• The two-body B_c {\to} D^{(*)}_{(s)}P, D^{(*)}_{(s)}V decays in the Perturbative QCD Approach
• Meson-octet-baryon couplings using light cone QCD sum rules
• The Strong Decay Patterns of the $1^{-+}$ Exotic Hybrid Mesons
• Vacuum condensates and the pion wave functions in the nonlocal chiral model
• Understanding the penguin amplitude in $B\to \varphi K$ decays
• Evidence for two-quark content of $f_0(980)$ in exclusive $b\to c$ decays
• Structure of the $(0^{+},1^{+})$ mesons $B_{s0}$ and $B_{s1}$, and the strong coupling constants $g_{B_{s0}BK}$ and $g_{B_{s1}{B}^{\ast }K}$
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• $B\to \pi \pi$ decays and effects of the next-to-leading order contributions
• SU_f(3)-Symmetry Breaking Effects of the B\to K Transition Form Factor in the QCD Light-Cone Sum Rules
• Contributions of $K_0^{\ast }(1430)$ and $K_0^{\ast }(1950)$ in the three-body decays $B\to K\pi h$
• Nonleptonic two-body charmless B decays involving a tensor meson in the Perturbative QCD Approach
• Two-particle twist-3 distribution amplitudes of the pion and kaon in the light-front quark model
• The NLO twist-3 contribution to the pion electromagnetic form factors in $k_T$ factorization
• Electromagnetic pion and kaon form factors in light-cone resummed perturbative QCD
• Signatures of the handbag mechanism in wide-angle photoproduction of pseudoscalar mesons
• Twist-2 Pseudoscalar and Vector Meson Distribution Amplitudes in Light-Front Quark Model with Exponential-type Confining Potential
• The $\eta NN$ coupling constant
• Phenomenological study of the $B_c$ $\to$ $BP$, $BV$ decays with perturbative QCD approach
• Improved perturbative QCD formalism for $B_c$ meson decays
• B-Meson Distribution Amplitudes of Geometric Twist vs. Dynamical Twist
• The Ratio $\mathcal{R}(D)$ and the $D$-meson Distribution Amplitude
• Subleading collinear operators and their matrix elements
• Twist-3 pion and kaon distribution amplitudes from the instanton vacuum with flavor SU(3) symmetry breaking
• Double charmonium production at B-factories within light cone formalism
• Exclusive $D_s\to (\eta ,{\eta }^{\prime })l\nu$ decays in light cone QCD
• Branching Ratio and CP Asymmetry of $B^0\to {\eta }^{(\prime )}{\eta }^{(\prime )}$ Decays in the Perturbative QCD Approach
• Decay Constants and Distribution Amplitudes of B Meson in the Relativistic Potential Model
• Accessing chiral-even quark generalised parton distributions in the exclusive photoproduction of a $\gamma {\pi }^{\pm }$ pair with large invariant mass in both fixed-target and collider experiments
• Bridging light-cone and NRQCD approaches: asymptotic behavior of $B_c$ electromagnetic form factor
• Quasi-two-body decays $B_{(s)}\to P{D}_0^{\ast }(2400)\to PD\pi$ in the perturbative QCD approach
• B meson wave function from the $B\to \gamma l\nu$ decay
• Gluonic Penguins in $B\to \pi \pi$ from QCD Light-Cone Sum Rules
• Resolving the $B\to K\pi$ puzzle by Glauber-gluon effects
• Beautiful mathematics for beauty-full and other multi-heavy hadronic systems
• Probing the $P$-wave charmonium decays of $B_c$ meson
• Uncertainty in the leading order PQCD calculations of $B$ meson decays
• Higher twist distribution amplitudes of the pion and electromagnetic form factor $F_{\pi }(Q^2)$
• D Wave Heavy Mesons
• Identifying the ${\Xi }_c^0$ baryons observed by LHCb as $P$-wave ${\Xi }_c^{\prime }$ baryons
• Branching Ratio and CP Asymmetry of $B_s\to \rho (\omega )K$ Decays in the Perturbative QCD Approach
• The ${\eta }^{\prime }{g}^{\ast }{g}^{(\ast )}$ Vertex Including the ${\eta }^{\prime }$-Meson Mass
• Flavor structure of generalized parton distributions from neutrino experiments
• Constraining R-parity violating couplings from B --> PP decays using QCD improved factorization method
• Excited ${\Omega }_b$ baryons and fine structure of strong interaction
• Determination of the strong vertices of doubly heavy baryons with pseudoscalar mesons in QCD
• Power corrections of off-forward quark distributions and harmonic operators with definite twist
• Analysis of $B_s\to KK$ decays in the PQCD
• $B^0\to \omega {\eta }^{(\prime )}$ and $\varphi {\eta }^{(\prime )}$ decays in the perturbative QCD approach
• Revisiting the B {\to} π ρ, π ω Decays in the Perturbative QCD Approach Beyond the Leading Order
• Identifying the ${\Xi }_b(6100)$ as the $P$-wave bottom baryon of $J^P=3/2^{-}$
• $B \to (\jpsi,η_c) K$ decays in the perturbative QCD approach
• Contributions for the kaon pair from $\rho (770)$, $\omega (782)$ and their excited states in the $B\to K\bar{K}h$ decays
• Model-Independent Results for SU(3) Violation in Twist-3 Light-Cone Distribution Functions
• Transverse-momentum-dependent wave functions with Glauber gluons in $B\to \pi \pi$, $\rho \rho$ decays
• Branching Ratio and CP Asymmetry of $B_s\to {\pi }^0{\eta }^{(\prime )}$ Decays in the perturbative QCD Approach
• Strong Coupling Constants of the Doubly Heavy ${\Xi }_{QQ}$ Baryons with $\pi$ Meson
• Exclusive production of quarkonia pairs in collinear factorization framework
• Study of $B_s\to \pi \rho$ decays in the perturbative QCD approach
• The $B_s\to K$ Form Factor in The Whole Kinematically Accessible Range
• Branching ratios, $CP$ asymmetries and polarizations of $B\to \psi (2S)V$ decays
• On Two-Body Decays of A Scalar Glueball
• Pseudoscalar meson decay constants and distribution amplitudes up to twist-4 in the light-front quark model
• Three-parton contribution to pion form factor in kT factorization
• $B\to K_0^{\ast }(1430)K$ decays in the perturbative QCD approach
• Strong $B_{Q{Q}^{\prime }}^{\ast }{B}_{Q{Q}^{\prime }}V$ vertices and the radiative decays of $B_{QQ}^{\ast }\to B_{QQ}\gamma$ in the light-cone sum rules
• $B\to K{K}^{\ast }$ Decays in the Perturbative QCD Approach
• New results on Pionic Twist-3 Distribution Amplitudes within the QCD Sum Rules
• ${\bar{B}}_{d,s}\to D_{d,s}^{\ast }V$ and ${\bar{B}}_{d,s}^{\ast }\to D_{d,s}V$ decays within QCD Factorization and Possible Puzzles
• ${\bar{B}}_s^0\to K\pi ,KK$ decays and effects of the next-to-leading order contribution
• Revisiting the Twist-3 Distribution Amplitudes of $K$ Meson within the QCD Background Field Approach
• A Note on Wandzura-Wilczek Relations
• Twist-3 contributions to wide-angle photoproduction of pions
• Newly discovered ${\Xi }_c^0$ resonances and their parameters
• Higher order light-cone distribution amplitudes of the Lambda baryon
• Semileptonic B --> eta l nu decay in light cone QCD
• Understanding the cross section of $e^{+}{e}^{-}\to \eta J/\psi$ process via nonrelativistic QCD
• Second moment of the pion's distribution amplitude
• Exclusive processes $e^{+}{e}^{-}\to VP$ in $k_T$ factorization
• Analysis of Supersymmetric Effects on B -> phi K Decays in the PQCD Approach
• Strong decay ${\Delta }^{++}\to p\pi$ with light-cone QCD sum rules
• Revisiting $K\pi$ puzzle in the pQCD factorization approach
• Space- and time-like electromagnetic pion form factors in light-cone pQCD
• Strong transitions of decuplet to octet baryons and pseudoscalar mesons
• Pseudoscalar--meson decuplet--baryon coupling constants in light cone QCD
• What can we learn from $B\to$ $\rho (\omega )K$ decays?
• Strong $D_s^{\ast }{D}_s{\eta }^{(\prime )}$ and $B_s^{\ast }{B}_s{\eta }^{(\prime )}$ vertices from QCD light-cone sum rules
• Strong coupling constants of heavy spin--3/2 baryons with light pseudoscalar mesons
• Predicted ${\Xi }_b(6087{)}^0$ and further predictions
• The NLO contributions to the scalar pion form factors and the $\mathcal{O}({\alpha }_s^2)$ annihilation corrections to the $B\to \pi \pi$ decays
• Pion distribution amplitude from holographic QCD and the electromagnetic form factor F_pi(Q2)
• Study Pure Annihilation Decays $B_s^0({\bar{B}}_s^0)\to D^{\pm }{\pi }^{\mp }$ in PQCD Approach
• Pion and Kaon form factors in the perturbative QCD approach
• Strong vertices of doubly heavy spin-3/2--spin-1/2 baryons with light mesons in light-cone QCD sum rules
• The $\rho {\gamma }^{\ast }\to \pi (\rho )$ transition form factors in the Perturbative QCD factorization approach
• Space-and Time-like Electromagnetic Kaon Form Factors
• Study of $B\to D^{\ast \ast }\pi$ decays
• Heavy Meson Distribution Amplitudes of Definite Geometric Twist with Contribution of 3-Particle Distribution Amplitudes
• The study of $B\to J/\Psi {\eta }^{(\prime )}$ decays and determination of $\eta -{\eta }^{\prime }$ mixing angle
• Strong decays ${\Sigma }^{\ast }\to \Sigma \pi ,\Lambda \pi$ and related strong coupling constant
• $J/\psi$ $\to$ $DP$, $DV$ decays in the QCD factorization approach
• The new $a_1(1420)$ state: structure, mass and width
• Semi-inclusive B Decays and Direct CP Violation in QCD Factorization
• Strong decays $B_{s0}\to B_s\pi$ and $B_{s1}\to B_s^{\ast }\pi$ with light-cone QCD sum rules
• Study of the $B_c$ $\to$ $B_s\pi$ decay with the perturbative QCD approach
• Perturbative QCD Analysis of Exclusive Processes $e^{+}{e}^{-}\to VP$ and $e^{+}{e}^{-}\to TP$
• Light-Cone HQET Sum Rules for the B --> pi Transition with 1/m_Q Corrections
• 1/m_Q order contributions to B \to πl νdecay in HQEFT
• ${\bar{B}}_s^0\to ({\pi }^0{\eta }^{(\ast )},{\eta }^{(\ast )}{\eta }^{(\ast )})$ decays and the effects of next-to-leading order contributions in the perturbative QCD approach
• The ratio $\mathcal{R}(D_s)$ for $B_s\to D_s\ell {\nu }_{\ell }$ by using the QCD light-cone sum rules within the framework of heavy quark effective field theory
• Time-dependent CP-violations of B(Bs) decays in the perturbative QCD approach
• Non-factorizable charming loops in FCNC B decays vs B-decay semileptonic form factors
• Comprehensive Calculations on the OZI-forbidden Nonleptonic Decays of Orthoquarkonia $J/\psi ({\rm Y})\to \pi \pi ,\rho \pi$
• Hard exclusive pion leptoproduction
• Wide-angle photo- and electroproduction of pions to twist-3 accuracy
• Three-particle distribution in B meson and charm-quark loops in FCNC B decays
• Probing new physics in $B\to J/\Psi {\pi }^0$ decay
• The perturbative QCD factorization of $\rho {\gamma }^{\star }\to \rho$
• Reinvestigating the $B$ $\to$ $PV$ decays by including the contributions from ${\varphi }_{B2}$ with the perturbative QCD approach
• Branching ratios of $B^{+}\to D^{(\ast )+}{K}^{(\ast )0}$ decays in perturbative QCD approach
• Possible solution of the puzzle for the branching ratio and $CP$ violation in $B\to \pi \pi$ decays with a modified perturbative QCD approach
• Twist-3 contribution to deeply virtual electroproduction of pions
• The $B\to \pi \ell {\nu }_{\ell }$ semileptonic decay within the LCSR approach under heavy quark effective field theory
• Strong and Electromagnetic Decays of The $D$-wave Heavy Mesons
• f_0(1710) production in exclusive B decays
• Twist cut-off for scalar off-cone operators in q-space
• Branching ratio and $CP$ violation of $B\to K\pi$ decays in a modified perturbative QCD approach
• Revisiting $B\to K^{\ast }\pi$ and $B\to K\rho$ decays using the modified perturbative QCD approach
• Transition to perturbative QCD in two-photon collisions
• Strong coupling constant of negative parity nucleon with $\pi$ meson in light cone QCD sum rules
• The $g_{{\Sigma }_Q{\Sigma }_Q\pi }$ Coupling Constant via Light Cone QCD Sum Rules
• Exclusive photoproduction of ${\eta }_c\gamma$ pairs with large invariant mass
• Footprint in fitting $B\to D$ vector form factor and determination for $D$-meson leading-twist LCDA
• Light-cone sum rules for proton decay
• Penguin induced (B -> eta) transition form factor in light cone QCD
• Correlators of vector, tensor, and scalar composite vertices of order $O({\alpha }_s^2{\beta }_0)$
• Analysis of the vector form factors $f_{K\pi }^{+}(Q^2)$ and $f_{K\pi }^{-}(Q^2)$ with light-cone QCD sum rules
• Branching ratios and $CP$ asymmetries of $B\to {\chi }_{c1}K(\pi )$ decays
• Higher Order Corrections to the Light-cone Distribution Amplitudes of the Sigma baryon
• Charming-loop contribution to $B_s\to \gamma \gamma$ decay
• Study of $B\to PP$ decays in the modified perturbative QCD approach
• Semi-inclusive Decay $B\to \varphi X_s$: Rate and Momentum Spectrum of $\varphi$
• Revisiting nonfactorizable contributions to factorization-forbidden decays of $B$ mesons to charmonium
• Three body radiative decay $B_s\to \varphi {\bar{K}}^0\gamma$ in the PQCD approach
• Leading SU(3) breaking in lightcone distribution amplitudes
• $B_c$ meson exclusive decays to a $P$-wave charmonium and a pion at NLO accuracy
• Phenomenological Application of $k_T$ factorization
• Distribution amplitudes of heavy-light pseudo-scalar and vector mesons from Dyson-Schwinger equations framework
• $\gamma \gamma \to M^{+}{M}^{-}(M=\pi ,K)$ processes with twist-3 corrections in QCD
• The next-to-leading order corrections to $B\to \rho$ transition in the $k_T$ factorization
• 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
• Study of $B_c\to \psi (2S)K$, ${\eta }_c(2S)K$, $\psi (3770)K$ decays with perturbative QCD approach
• $B_{(s)}\to D_{s0}^{\ast }(2317)P(V)$ decays in perturbative QCD approach
• Revisiting $B_s\to PP$ and $PV$ Decays with Contributions from ${\varphi }_{B2}$ with perturbativen QCD approach
• $B_u$ $\to$ $\psi M$ decays and $S$-$D$ wave mixing effects
• Mass of nonrelativistic meson from leading twist distribution amplitudes
• Study of $B\to \rho \eta$, $\rho {\eta }^{\prime }$ decays in the modified perturbative QCD approach
• Quasi-two-body decays $B\to P{f}_0(500)\to P{\pi }^{+}{\pi }^{-}$ in the perturbative QCD approach
• Three-body strong decays of the $Y(4230)$ via the light-cone QCD sum rules
• Semi-leptonic three-body proton decay modes from light-cone sum rules
• Study of the ${\bar{B}}_q^{\ast }$ $\to$ $DM$ decays with perturbative QCD approach
• Twist-3 contributions to $\gamma \gamma \to {\pi }^{+}{\pi }^{-},K^{+}{K}^{-}$ processes in perturbative QCD approach
• The two-pseudoscalar-meson decay of ${\chi }_{cJ}$ with twist-3 corrections
• Scalar form factors $f_{\pi \pi }(Q^2)$ and $f_{KK}(Q^2)$ with light-cone QCD sum rules
• New Physics Search in the Doubly Weak Decay ${\overline{B}}^0\to K^{+}{\pi }^{-}$
• Strong Vertices of Doubly Heavy Spin-3/2 Baryons with Light Pseudoscalar Mesons
• (phi -> K K) decay in light cone QCD
• Light-cone sum rules for the heavy-to-light transition in the effective theory
• Resonance contributions from ${\chi }_{c0}$ in the charmless three-body hadronic $B$ meson decays
• Looking for heavy axial tensor mesons via their strong decays in light cone QCD
• Ground state pseudoscalar mesons on the light front: from the light to heavy sector
• Are there significant scalar resonances in $B^{-}\to D^{(\ast )0}{K}^{-}{K}^0$ decays?
• The meson polarized distribution function and mass dependence of the nucleon parton densities
• Properties of the quark-antiquark-gluon Fock state in the η_c meson
• Revealing chiral-odd two-meson generalized distribution amplitudes in $e^{-}{e}^{+}\to (\pi \pi )(\pi \pi )$ reactions