$η^{(\prime)}$-meson twist-2 distribution amplitude within QCD sum rule approach and its application to the semi-leptonic decay $ D_s^+ \toη^{(\prime)}\ell^+ ν_\ell$

Hu, Dan-Dan; Fu, Hai-Bing; Zhong, Tao; Zeng, Long; Cheng, Wei; Wu, Xing-Gang

doi:10.48550/arxiv.2102.05293

Cited by 3 publications

(8 citation statements)

References 80 publications

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“…To obtained the TFF at the whole physical region, e.g. 0 ≤ q 2 ≤ (m 2 Bs − m 2 K ) = 23.74 GeV 2 , we can use the simplified series expansion of z-parameterizations, which was discussed in our previous work [88]. Then, the TFF with whole physical region are shown in Figure 9, which CQM [17], LCSR [2], NRQCD [8] and LQCD results [9] are also present.…”

Section: B Moments Of the Kaon Leading Twist Damentioning

confidence: 99%

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Investigating the ratio of CKM matrix elements $|V_{ub}|/|V_{cb}|$ from semileptonic decay $B_s^0\to K^-μ^+ν_μ$ and kaon twist-2 distribution amplitude

Zhong,

Fu,

2022

Preprint

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Section: B Moments Of the Kaon Leading Twist Damentioning

confidence: 99%

“…The Feynman diagrams for Eq. ( 31) are shown in Figure 1, in which the left big dot and the right big dot stand for the vertex operators [87,88]. By substituting the formulae of S s(q) F (0, x) and (iz • ↔ D) n into Eq.…”

Section: Calculation Technology a Lcsr On Semileptonic Decaymentioning

confidence: 99%

Investigating the ratio of CKM matrix elements $|V_{ub}|/|V_{cb}|$ from semileptonic decay $B_s^0\to K^-μ^+ν_μ$ and kaon twist-2 distribution amplitude

Zhong,

Fu,

2022

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“…Within the framework of BFTSR, the quark and gluon fields are composed by the background fields and their surrounding quantum fluctuations, and the usual vacuum condensates are described by the classical background fields, which provides a clear physical picture for the bound-state internal structures and makes the sum rules calculation more simplified. The BFTSR have been widely used in calculating the LCDAs of the heavy/light mesons [28][29][30][31][32][33]. Here we will adopt this approach to investigate the a 1 (1260)-meson moments ξ ;n 2;a 1 | μ and then provide a more accuracy LCDA φ 2;a 1 (x, μ).…”

Section: And Amentioning

confidence: 99%

“…Based on the idea of BFTSR and the Feynman rules for one hand, one can apply the OPE for the correlator (4) in deep Euclidean region q 2 0. Then, the correlator can be expanded into three terms including the quark propagators S d F (0, x), S u F (x, 0) and the vertex operators (i z • D ↔ ) n , which have been given in our previous work [33]. In dealing with Lorentz invariant scalar function (n,0)…”

Section: Calculation Technologymentioning

confidence: 99%

$$a_1(1260)$$-meson longitudinal twist-2 distribution amplitude and the $$D\rightarrow a_1(1260)\ell ^+\nu _\ell $$ decay processes

Zhong

et al. 2022

Eur. Phys. J. C

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In the paper, we investigate the moments $$\langle \xi _{2;a_1}^{\Vert ;n}\rangle $$ ⟨ ξ 2 ; a 1 ‖ ; n ⟩ of the axial-vector $$a_1(1260)$$ a 1 ( 1260 ) -meson distribution amplitude by using the QCD sum rules approach under the background field theory. By considering the vacuum condensates up to dimension-six and the perturbative part up to next-to-leading order QCD corrections, its first five moments at an initial scale $$\mu _0=1~{\mathrm{GeV}}$$ μ 0 = 1 GeV are $$\langle \xi _{2;a_1}^{\Vert ;2}\rangle |_{\mu _0} = 0.223 \pm 0.029$$ ⟨ ξ 2 ; a 1 ‖ ; 2 ⟩ | μ 0 = 0.223 ± 0.029 , $$\langle \xi _{2;a_1}^{\Vert ;4}\rangle |_{\mu _0} = 0.098 \pm 0.008$$ ⟨ ξ 2 ; a 1 ‖ ; 4 ⟩ | μ 0 = 0.098 ± 0.008 , $$\langle \xi _{2;a_1}^{\Vert ;6}\rangle |_{\mu _0} = 0.056 \pm 0.006$$ ⟨ ξ 2 ; a 1 ‖ ; 6 ⟩ | μ 0 = 0.056 ± 0.006 , $$\langle \xi _{2;a_1}^{\Vert ;8}\rangle |_{\mu _0} = 0.039 \pm 0.004$$ ⟨ ξ 2 ; a 1 ‖ ; 8 ⟩ | μ 0 = 0.039 ± 0.004 and $$\langle \xi _{2;a_1}^{\Vert ;10}\rangle |_{\mu _0} = 0.028 \pm 0.003$$ ⟨ ξ 2 ; a 1 ‖ ; 10 ⟩ | μ 0 = 0.028 ± 0.003 , respectively. We then construct a light-cone harmonic oscillator model for $$a_1(1260)$$ a 1 ( 1260 ) -meson longitudinal twist-2 distribution amplitude $$\phi _{2;a_1}^{\Vert }(x,\mu )$$ ϕ 2 ; a 1 ‖ ( x , μ ) , whose model parameters are fitted by using the least squares method. As an application of $$\phi _{2;a_1}^{\Vert }(x,\mu )$$ ϕ 2 ; a 1 ‖ ( x , μ ) , we calculate the transition form factors (TFFs) of $$D\rightarrow a_1(1260)$$ D → a 1 ( 1260 ) in large and intermediate momentum transfers by using the QCD light-cone sum rules approach. At the largest recoil point ($$q^2=0$$ q 2 = 0 ), we obtain $$ A(0) = 0.130_{ - 0.013}^{ + 0.015}$$ A ( 0 ) = 0 . 130 - 0.013 + 0.015 , $$V_1(0) = 1.898_{-0.121}^{+0.128}$$ V 1 ( 0 ) = 1 . 898 - 0.121 + 0.128 , $$V_2(0) = 0.228_{-0.021}^{ + 0.020}$$ V 2 ( 0 ) = 0 . 228 - 0.021 + 0.020 , and $$V_0(0) = 0.217_{ - 0.025}^{ + 0.023}$$ V 0 ( 0 ) = 0 . 217 - 0.025 + 0.023 . By applying the extrapolated TFFs to the semi-leptonic decay $$D^{0(+)} \rightarrow a_1^{-(0)}(1260)\ell ^+\nu _\ell $$ D 0 ( + ) → a 1 - ( 0 ) ( 1260 ) ℓ + ν ℓ , we obtain $${\mathcal {B}}(D^0\rightarrow a_1^-(1260) e^+\nu _e) = (5.261_{-0.639}^{+0.745}) \times 10^{-5}$$ B ( D 0 → a 1 - ( 1260 ) e + ν e ) = ( 5 . 261 - 0.639 + 0.745 ) × 10 - 5 , $${\mathcal {B}}(D^+\rightarrow a_1^0(1260) e^+\nu _e) = (6.673_{-0.811}^{+0.947}) \times 10^{-5}$$ B ( D + → a 1 0 ( 1260 ) e + ν e ) = ( 6 . 673 - 0.811 + 0.947 ) × 10 - 5 , $${\mathcal {B}}(D^0\rightarrow a_1^-(1260) \mu ^+ \nu _\mu )=(4.732_{-0.590}^{+0.685}) \times 10^{-5}$$ B ( D 0 → a 1 - ( 1260 ) μ + ν μ ) = ( 4 . 732 - 0.590 + 0.685 ) × 10 - 5 , $${\mathcal {B}}(D^+ \rightarrow a_1^0(1260) \mu ^+ \nu _\mu )=(6.002_{-0.748}^{+0.796}) \times 10^{-5}$$ B ( D + → a 1 0 ( 1260 ) μ + ν μ ) = ( 6 . 002 - 0.748 + 0.796 ) × 10 - 5 .

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“…Following the standard procedures of QCD sum rules [50,51], we obtain the sum rules for the moments of D s -meson leading-twist LCDA, i.e.…”

Section: Calculation Technologymentioning

confidence: 99%

The $D_s$-meson leading-twist distribution amplitude within the QCD sum rules and its application to the $B_s \to D_s$ transition form factor

Zhang,

Zhong,

et al. 2021

Preprint

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$η^{(\prime)}$-meson twist-2 distribution amplitude within QCD sum rule approach and its application to the semi-leptonic decay $ D_s^+ \toη^{(\prime)}\ell^+ ν_\ell$

Cited by 3 publications

References 80 publications

Investigating the ratio of CKM matrix elements $|V_{ub}|/|V_{cb}|$ from semileptonic decay $B_s^0\to K^-μ^+ν_μ$ and kaon twist-2 distribution amplitude

Investigating the ratio of CKM matrix elements $|V_{ub}|/|V_{cb}|$ from semileptonic decay $B_s^0\to K^-μ^+ν_μ$ and kaon twist-2 distribution amplitude

$$a_1(1260)$$-meson longitudinal twist-2 distribution amplitude and the $$D\rightarrow a_1(1260)\ell ^+\nu _\ell $$ decay processes

The $D_s$-meson leading-twist distribution amplitude within the QCD sum rules and its application to the $B_s \to D_s$ transition form factor

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