Revisiting $D$-meson twist-2, 3 distribution amplitudes

Abstract

Due to the significant difference between the experimental measurements and the theoretical predictions of standard model (SM) for the value of $\mathcal{R}(D)$ of the semileptonic decay $B\to D\ell {\bar{\nu }}_{\ell }$, people speculate that it may be the evidence of new physics beyond the SM. Usually, the $D$-meson twist-2, 3 distribution amplitudes (DAs) ${\varphi }_{2;D}(x,\mu )$, ${\varphi }_{3;D}^p(x,\mu )$ and ${\varphi }_{3;D}^{\sigma }(x,\mu )$ are the main error sources when using perturbative QCD factorization and light-cone QCD sum rules to study $B\to D\ell {\bar{\nu }}_{\ell }$. Therefore, it is important to get more reasonable and accurate behaviors for those DAs. Motivated by our previous work [Phys. Rev. D 104, no.1, 016021 (2021)] on pionic leading-twist DA, we revisit $D$-meson twist-2, 3 DAs ${\varphi }_{2;D}(x,\mu )$, ${\varphi }_{3;D}^p(x,\mu )$ and ${\varphi }_{3;D}^{\sigma }(x,\mu )$. New sum rules formulae for the $\xi$-moments of these three DAs are suggested to obtain more accurate values. The light-cone harmonic oscillator models for those DAs are improved, and whose model parameters are determined by fitting the values of $\xi$-moments with the least squares method.

arXiv comment9 pages, 2 figures

References in corpus (35)

• 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
• FLAG Review 2019
• 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
• On the B to D* tau nu Sensitivity to New Physics
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2018
• Dispersive Bounds on the Shape of B -> D^(*) l nu Form Factors
• The $B\to D\ell \nu$ form factors at nonzero recoil and $|V_{cb}|$ from $2+1$-flavor lattice QCD
• Imaging dynamical chiral symmetry breaking: pion wave function on the light front
• Precision Corrections to Dispersive Bounds on Form Factors
• $B\to Dl\nu$ Form Factors at Non-Zero Recoil and Extraction of $|V_{cb}|$
• Revisiting $B\to D\ell \nu$
• Measurement of $\mathcal{R}(D)$ and $\mathcal{R}(D^{\ast })$ with a semileptonic tagging method
• Extraction of $|V_{cb}|$ from $B\to D^{(\ast )}\ell {\nu }_{\ell }$ and the Standard Model predictions of $R(D^{(\ast )})$
• Observation of new resonances decaying to $D\pi$ and $D^{\ast }\pi$ in inclusive $e^{+}{e}^{-}$ collisions near $\sqrt{s}=$10.58 GeV
• Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD
• Theory determination of $\bar{B}\to D^{(\ast )}{\ell }^{-}\bar{\nu }$ form factors at $\mathcal{O}(1/m_c^2)$
• Tau longitudinal polarization in B -> D tau nu and its role in the search for charged Higgs boson
• $B\to D^{(\ast )}$ form factors in perturbative QCD
• The $B(B_s)\to D_{(s)}P$, $D_{(s)}V$, $D_{(s)}^{\ast }P$ and $D_{(s)}^{\ast }V$ decays in the perturbative QCD approach
• Pion and Kaon Distribution Amplitudes from Lattice QCD
• SU(3) Breaking in K and K* Distribution Amplitudes
• Perturbative corrections to $B\to D$ form factors in QCD
• An improved light-cone harmonic oscillator model for the pionic leading-twist distribution amplitude
• Twist-3 Distribute Amplitude of the Pion in QCD Sum Rules
• Twist-3 distribution amplitudes of the pion and kaon from the QCD sum rules
• Revisiting the Pion Leading-Twist Distribution Amplitude within the QCD Background Field Theory
• Twist-2 Pseudoscalar and Vector Meson Distribution Amplitudes in Light-Front Quark Model with Exponential-type Confining Potential
• The Ratio $\mathcal{R}(D)$ and the $D$-meson Distribution Amplitude
• $B_c(B)\to Dl\tilde{\nu }$ form factors in Light-Cone Sum Rules and the $D$-meson distribution amplitude
• Form factors $f_{+}^{B\to \pi }(0)$ and $f_{+}^{D\to \pi }(0)$ in $QCD$ and determination of $|V_{ub}|$ and $|V_{cd}|$
• Uncertainties of the $B\to D$ transition form factor from the $D$-Meson Leading-Twist Distribution Amplitude
• Investigating the ratio of CKM matrix elements $|V_{ub}|/|V_{cb}|$ from semileptonic decay $B_s^0\to K^{-}{\mu }^{+}{\nu }_{\mu }$ and kaon twist-2 distribution amplitude
• $a_1(1260)$-meson longitudinal twist-2 distribution amplitude and the $D\to a_1(1260){\ell }^{+}{\nu }_{\ell }$ decay processes
• Constraint of $\xi$-moments calculated with QCD sum rules on the pion distribution amplitude models

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