Branching fractions and polarizations of 
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 within QCD light-cone sum rule

Fu, Hai-Bing; Cheng, W. S.; Zeng, Long; Hu, Dandan; Zhong, Tao

doi:10.1103/physrevresearch.2.043129

Cited by 5 publications

(9 citation statements)

References 66 publications

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“…2, where the shaded band stands for the squared average of all the mentioned uncertainties. Same as our previous study on pseudoscalar meson decay to vector meson, such as B → ρ [19] and D → V [20],…”

Section: Numerical Results and Discussionmentioning

confidence: 86%

“…The calculated procedure of the B c → J/ψ HFFs H Bc→J/ψ σ (q 2 ) under the LCSR approach is the same as Ref. [19,20]. We thus will directly give the LCSR results of B c → J/ψ HFFs as follows:…”

Section: The B +mentioning

confidence: 99%

“…A more detailed calculation technology can turn to our previous work [19,20]. Since we used a usual current in the calculation, the HFFs will include all the Twist-2,-3,-4 light-cone distribution amplitudes (LCDAs), see subsection III A, which will maintain the accuracy of LCSR to a large extent.…”

Section: The B +mentioning

confidence: 99%

“…In the present paper, by applying the light-cone sum rules (LCSR) approach, we shall study the B c → J/ψ transition form factors by transforming them into the form of helicity form factors (HFFs). The use of HFF has some advantages in comparison of the usual treatment of TFF [14][15][16][17][18][19][20]: I) The diagonalized unitarity relations will lead to the dispersion bounds that will be represented specifically by constraining the coefficients in the series expansion (SE) or simplified series expansion (SSE) parameterization; II) The polarized decay widths of a meson transition to a vector meson can be well studied by using the HFF; III) As the helicity amplitude has a definite spin-parity quantum number, the helicity amplitude is convenient to consider the contribution from the excited state of meson in the transition process. After calculating the B c → J/ψ HFFs within the LCSR, we shall then extend them into allowable physical region and then investigate the properties of B + c → J/ψ + (P, V, ℓ + ν ℓ ) decays.…”

Section: Introductionmentioning

confidence: 99%

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$B_c \to J/ψ$ helicity form factors and the $B_c^+ \to J/ψ+(P, V, \ell^+ ν_\ell)$ decays

Cheng,

Zhang,

Zeng

et al. 2021

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In this paper, we calculate the Bc → J/ψ helicity form factors (HFFs) up to twist-4 accuracy by using the light-cone sum rules approach. After extrapolating those HFFs to the physically allowable q 2 region, we investigate the B + c -meson two-body decays and semi-leptonic decays B + c → J/ψ + (P, V, ℓ + ν ℓ ), where P and V stand for a light pseudo-scalar meson and a vector meson, respectively. The branching fractions can be derived by using the CKM matrix element and the Bc lifetime from the Particle Data Group, and we obtain B(B + c → J/ψπ + ) = (0.132 +0.002 −0.002 )%, B(B + c → J/ψK + ) = (0.010 +0.000 −0.000 )%, B(B + c → J/ψρ + ) = (0.755 +0.030 −0.034 )%, B(B + c → J/ψK * + ) = (0.043 +0.001 −0.001 )%, B(B + c → J/ψµ + νµ) = (2.808 +0.547 −0.704 )% and B(B + c → J/ψτ + ντ ) = (0.563 +0.137 −0.178 )%. We then obtain R π + /µ + νµ = 0.047 +0.009 −0.012 and R K + /π + = 0.075 +0.005 −0.005 , which agree with the LHCb measured value within 1σ-error. We also obtain R J/ψ = 0.200 +0.062 −0.081 , which like other theoretical predictions, are consistent with the LHCb measured value within 2σ-error.

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Section: Numerical Results and Discussionmentioning

confidence: 86%

Section: The B +mentioning

confidence: 99%

Section: The B +mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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$B_c \to J/ψ$ helicity form factors and the $B_c^+ \to J/ψ+(P, V, \ell^+ ν_\ell)$ decays

Cheng,

Zhang,

Zeng

et al. 2021

Preprint

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“…c for the momentum transfer, corresponds to the Tproduct of quark currents near small light-cone distance x 2 → 0, which can be treated by operator product expansion (OPE) with the coefficients being pQCD calculable. For such purpose, we contract the two c-quark fields and write down a free c-quark propagator with gluon field S c (x, 0) = 0|c i α (x)c j β (0)|0 as follows [22,23]…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Revisiting the production of $J/ψ+η_c$ via the $e^+e^-$ annihilation within the QCD light-cone sum rules

Zeng,

Fu,

et al. 2021

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We make a detailed study on the typical production channel of double charmoniums, e + e − → J/ψ + ηc, at the center-of-mass collision energy √ s = 10.58 GeV. The key component of the process is the form factor FVP(q 2 ), which has been calculated within the QCD light-cone sum rules (LCSR).To improve the accuracy of the derived LCSR, we keep the J/ψ light-cone distribution amplitude up to twist-4 accuracy. Total cross sections for e + e − → J/ψ + ηc at three typical factorization scales are σ|µ s = 22.53 +3.46 −3.49 fb, σ|µ k = 21.98 +3.35 −3.38 fb and σ|µ 0 = 21.74 +3.29 −3.33 fb, respectively. The factorization scale dependence is small, and those predictions are consistent with the BABAR and Belle measurements within errors.

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helicity form factors and the decays *

et al. 2022

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In this paper, we calculate the $B_c\to J/\psi$ helicity form factors (HFFs) up to twist-4 accuracy by using the light-cone sum rules (LCSR) approach. After extrapolating those HFFs to the physically allowable $q^2$ region, we investigate the $B^+_c$-meson two-body decays and semi-leptonic decays $B_c^+ \to J/\psi+(P, V, \ell^+ \nu_\ell)$ with $P/V$ stands for light pseudoscalar/vector meson, respectively. The branching fractions can be derived by using the CKM matrix element and the $B_c$ lifetime from the Particle Data Group, and we obtain ${\cal B}(B_c^+ \to J/\psi \pi^+)=(0.136^{+0.002}_{-0.002})\%$, ${\cal B}(B_c^+ \to J/\psi K^+)=(0.010^{+0.000}_{-0.000})\%$, ${\cal B}(B_c^+ \to J/\psi \rho^+) =(0.768^{+0.029}_{-0.033})\%$, ${\cal B}(B_c^+ \to J/\psi K^{\ast +})=(0.043^{+0.001}_{-0.001})\%$, ${\cal B}(B_c^+ \to J/\psi \mu^+\nu_\mu)=(2.802^{+0.526}_{-0.675})\%$ and ${\cal B}(B_c^+ \to J/\psi \tau^+\nu_\tau)=(0.559^{+0.131}_{-0.170})\%$. We then obtain ${\cal R}_{\pi^+/\mu^+\nu_\mu} = 0.048^{+ 0.009}_{-0.012}$ and ${\cal R}_{K^+ / \pi^+} = 0.075^{+0.005}_{-0.005}$, which agree with the LHCb measured value within $1\sigma$-error. We also obtain ${\cal R}_{J/\psi}=0.199^{+ 0.060}_{-0.077}$, which like other theoretical predictions, is consistent with the LHCb measured value within $2\sigma$-error. Those imply that the HFFs under the LCSR approach are also applicable to the $B^+_c$ meson two-body decays and semi-leptonic decays $B_c^+ \to J/\psi+(P, V, \ell^+ \nu_\ell)$, and the HFFs obtained by using LCSR from a new way implies that there may be a new physic in the $B_c\to J/\psi \ell^+ \nu_\ell$ semi-leptonic decays. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.

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Branching fractions and polarizations of D→Vℓνℓ within QCD light-cone sum rule

Cited by 5 publications

References 66 publications

$B_c \to J/ψ$ helicity form factors and the $B_c^+ \to J/ψ+(P, V, \ell^+ ν_\ell)$ decays

$B_c \to J/ψ$ helicity form factors and the $B_c^+ \to J/ψ+(P, V, \ell^+ ν_\ell)$ decays

Revisiting the production of $J/ψ+η_c$ via the $e^+e^-$ annihilation within the QCD light-cone sum rules

helicity form factors and the decays *

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