The $\rho$-meson longitudinal leading-twist distribution amplitude within QCD background field theory

Abstract

We revisit the $\rho$-meson longitudinal leading-twist distribution amplitude (DA) ${\varphi }_{2;\rho }^{\Vert }$ by using the QCD sum rules approach within the background field theory. To improve the accuracy of the sum rules for its moments $⟨{\xi }_{n;\rho }^{\Vert }⟩$, we include the next-to-leading order QCD correction to the perturbative part and keep all non-perturbative condensates up to dimension-six consistently within the background field theory. The first two moments read $⟨{\xi }_{2;\rho }^{\Vert }⟩{|}_{1\mathrm{GeV}}=0.241(28)$ and $⟨{\xi }_{4;\rho }^{\Vert }⟩{|}_{1\mathrm{GeV}}=0.109(10)$, indicating a double humped behavior for ${\varphi }_{2;\rho }^{\Vert }$ at small energy scale. As an application, we apply them to the $B\to \rho$ transition form factors within the QCD light-cone sum rules, which are key components for the decay width $\Gamma (B\to \rho \ell {\nu }_{\ell })$. To compare with the world-average of $\Gamma (B\to \rho \ell {\nu }_{\ell })$ issued by Particle Data Group, we predict $|V_{\mathrm{ub}}|=3.19_{-0.62}^{+0.65}$, which agrees with the BABAR and Omnès parameterization prediction within errors.

arXiv comment10 pages, 5 figures. Revised version to be published in Phys.Rev.D

References in corpus (39)

• Big-Bang Nucleosynthesis
• B_{d,s}->rho, omega, K*, phi Decay Form Factors from Light-Cone Sum Rules Revisited
• $B\to V{\ell }^{+}{\ell }^{-}$ in the Standard Model from Light-Cone Sum Rules
• Semileptonic Meson Decays in the Quark Model: An Update
• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Formalism and Twist Three Distributions
• Charm-loop effect in $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ and $B\to K^{\ast }\gamma$
• Model-independent description of $B\to \pi l\nu$ decays and a determination of $|V_{ub}|$
• The $\rho$ Meson Light-Cone Distribution Amplitudes of Leading Twist Revisited
• Study of B --> pi l nu and B --> rho l nu Decays and Determination of |V_ub|
• QCD tests from $e^+e^- \rar I=1~$ hadrons data and implication on the value of ${\alpha }_s$ from $\tau$-decays
• An AdS/QCD holographic wavefunction for the rho meson and diffractive rho meson electroproduction
• Analysis of the Pion Wave Function in Light-Cone Formalism
• Power corrections to alpha_s(M_τ),|V_{us}| and m_s
• Twist-4 Distribution Amplitudes of the K${}^{\ast }$ and $\varphi$ Mesons in QCD
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• Distribution amplitudes and decay constants for $(\pi ,K,\rho ,K^{\ast })$ mesons in light-front quark model
• Hints on the power corrections from current correlators in x-space
• The Evolution of the Pion Distribution Amplitude in Next-to-Leading Order
• |V_td/V_ts| from B-> V gamma
• Parton distribution amplitudes of light vector mesons
• An Implication on the Pion Distribution Amplitude from the Pion-Photon Transition Form Factor with the New BABAR Data
• Lattice Study of the Decay B^0-bar -> rho^+ l^- nu_l-bar: Model-Independent Determination of |V_{ub}|
• A Model for the Twist-3 Wave Function of the Pion and Its Contribution to the Pion Form Factor
• 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
• Study of B --> pi l nu and B --> rho l nu decays and determination of |Vub|
• Extracting the rho meson wavefunction from HERA data
• Twist-3 Distribute Amplitude of the Pion in QCD Sum Rules
• B to rho ell nu form factors in lattice QCD
• Large corrections to asymptotic $F_{{\eta }_c\gamma }$ and $F_{{\eta }_b\gamma }$ in the light-cone perturbative QCD
• SVZ sum rules : 30 + 1 years later
• Revisiting the Pion Leading-Twist Distribution Amplitude within the QCD Background Field Theory
• Heavy Pseudoscalar Leading-Twist Distribution Amplitudes within QCD Theory in Background Fields
• Form factors $f_{+}^{B\to \pi }(0)$ and $f_{+}^{D\to \pi }(0)$ in $QCD$ and determination of $|V_{ub}|$ and $|V_{cd}|$
• Rho meson distribution amplitudes from QCD sum rules with nonlocal condensates
• |Vub| from Exclusive Semileptonic B--> rho Decays
• The $\rho$-meson longitudinal leading-twist distribution amplitude
• New results on Pionic Twist-3 Distribution Amplitudes within the QCD Sum Rules
• Revisiting the Twist-3 Distribution Amplitudes of $K$ Meson within the QCD Background Field Approach
• Distribution amplitudes of light mesons and photon in the instanton model

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• Exploring the exclusive decay $B^{+}\to \omega {\ell }^{+}\nu$ with light-cone sum rules
• Strong coupling constants of charmed and bottom mesons with light vector mesons in QCD sum rules
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• ${\eta }_c$ leading-twist distribution amplitude and the $B_c\to {\eta }_c\ell {\bar{\nu }}_{\ell }$ semileptonic decays using QCD Sum Rules
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