Helicity form factors for $$D_{(s)} \rightarrow A \ell \nu $$ process in the light-cone QCD sum rules approach

Momeni, S.

doi:10.1140/epjc/s10052-020-8084-6

Cited by 6 publications

(4 citation statements)

References 39 publications

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“…The D → K 1 form factors have also been calculated in other approaches [34][35][36] but results differ significantly.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

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Up-down Asymmetries and Angular Distributions in $D\to K_{1}(\to Kππ)\ell^+ν_{\ell}$

Bian,

Sun,

Wang

2021

Preprint

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Using the helicity amplitude technique, we derive differential decay widths and angular distributions for the decay cascade D → K1(1270, 1400)ℓ + ν ℓ → (Kππ)ℓ + ν ℓ (ℓ = e, µ), in which the electron and muon mass is explicitly included. Using a set of phenomenological results for D → K1 form factors, we calculate partial decay widths and branching fractions for D 0 → K − 1 ℓ + ν ℓ and D + → K 0 1 ℓ + ν ℓ , but find that results for B(D → K1(1270)e + νe) are larger than recent BESIII measurements by about a factor 1.5. We further demonstrate that the measurement of up-down asymmetry in D → K1e + νe → (Kππ)e + νe and angular distributions in D → K1ℓ + ν ℓ → (Kππ)ℓ + ν ℓ can help to determine the hadronic amplitude requested in B → K1(→ Kππ)γ. Based on the Monte-Carlo simulation with the LHCb geometrical acceptance, we find that the angular distributions of MC events can be well described.

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“…The D → K 1 form factors have also been calculated in other approaches [34][35][36] but results differ significantly.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…However we find that using form factors from Refs. [34][35][36] the branching fractions can be significantly reduced. Branching fractions for D → K 1 (1400)ℓ + ν ℓ are suppressed by orders of magnitudes, and this pattern is consistent with the BESIII observations [37,38].…”

Section: B Decay Widths and Branching Fractionsmentioning

confidence: 99%

Up-down Asymmetries and Angular Distributions in $D\to K_{1}(\to Kππ)\ell^+ν_{\ell}$

Bian,

Sun,

Wang

2021

Preprint

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“…At present, the D s → η ( ) TFFs have been studies under various approaches, such as the lattice QCD (LQCD) [13], the traditional and covariant light-front quark model (LFQM) [14][15][16], the constituent quark model (CQM) [17], the covariant confined quark model (CCQM) [18,19], the light-cone sum rules (LCSR) [20,21], the QCD sum rules (QCD SR) [22]. The LCSR approach is based on the operator product expansion (OPE) near the light-cone x 2 0 and parameterizes all the non-perturbative dynamics into the light-cone distribution amplitudes (LCDAs), which have been applied for dealing with many semileptonic decay processes [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39]. One may observe that the predicted values of D s → η ( ) TFFs behave differently from various groups.…”

Section: Introductionmentioning

confidence: 99%

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

Zhong

et al. 2022

Eur. Phys. J. C

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In this paper, we make a detailed discussion on the $$\eta $$ η and $$\eta ^\prime $$ η ′ -meson leading-twist light-cone distribution amplitude $$\phi _{2;\eta ^{(\prime )}}(u,\mu )$$ ϕ 2 ; η ( ′ ) ( u , μ ) by using the QCD sum rules approach under the background field theory. Taking both the non-perturbative condensates up to dimension-six and the next-to-leading order (NLO) QCD corrections to the perturbative part, its first three moments $$\langle \xi ^n_{2;\eta ^{(\prime )}}\rangle |_{\mu _0} $$ ⟨ ξ 2 ; η ( ′ ) n ⟩ | μ 0 with $$n = (2, 4, 6)$$ n = ( 2 , 4 , 6 ) can be determined, where the initial scale $$\mu _0$$ μ 0 is set as the usual choice of 1 GeV. Numerically, we obtain $$\langle \xi _{2;\eta }^2\rangle |_{\mu _0} =0.231_{-0.013}^{+0.010}$$ ⟨ ξ 2 ; η 2 ⟩ | μ 0 = 0 . 231 - 0.013 + 0.010 , $$\langle \xi _{2;\eta }^4 \rangle |_{\mu _0} =0.109_{ - 0.007}^{ + 0.007}$$ ⟨ ξ 2 ; η 4 ⟩ | μ 0 = 0 . 109 - 0.007 + 0.007 , and $$\langle \xi _{2;\eta }^6 \rangle |_{\mu _0} =0.066_{-0.006}^{+0.006}$$ ⟨ ξ 2 ; η 6 ⟩ | μ 0 = 0 . 066 - 0.006 + 0.006 for $$\eta $$ η -meson, $$\langle \xi _{2;\eta '}^2\rangle |_{\mu _0} =0.211_{-0.017}^{+0.015}$$ ⟨ ξ 2 ; η ′ 2 ⟩ | μ 0 = 0 . 211 - 0.017 + 0.015 , $$\langle \xi _{2;\eta '}^4 \rangle |_{\mu _0} =0.093_{ - 0.009}^{ + 0.009}$$ ⟨ ξ 2 ; η ′ 4 ⟩ | μ 0 = 0 . 093 - 0.009 + 0.009 , and $$\langle \xi _{2;\eta '}^6 \rangle |_{\mu _0} =0.054_{-0.008}^{+0.008}$$ ⟨ ξ 2 ; η ′ 6 ⟩ | μ 0 = 0 . 054 - 0.008 + 0.008 for $$\eta '$$ η ′ -meson. Next, we calculate the $$D_s\rightarrow \eta ^{(\prime )}$$ D s → η ( ′ ) transition form factors (TFFs) $$f^{\eta ^{(\prime )}}_{+}(q^2)$$ f + η ( ′ ) ( q 2 ) within QCD light-cone sum rules approach up to NLO level. The values at large recoil region are $$f^{\eta }_+(0) = 0.476_{-0.036}^{+0.040}$$ f + η ( 0 ) = 0 . 476 - 0.036 + 0.040 and $$f^{\eta '}_+(0) = 0.544_{-0.042}^{+0.046}$$ f + η ′ ( 0 ) = 0 . 544 - 0.042 + 0.046 . After extrapolating TFFs to the allowable physical regions within the series expansion, we obtain the branching fractions of the semi-leptonic decay, i.e. $$D_s^+\rightarrow \eta ^{(\prime )}\ell ^+ \nu _\ell $$ D s + → η ( ′ ) ℓ + ν ℓ , i.e. $${{\mathcal {B}}}(D_s^+ \rightarrow \eta ^{(\prime )} e^+\nu _e)=2.346_{-0.331}^{+0.418}(0.792_{-0.118}^{+0.141})\times 10^{-2}$$ B ( D s + → η ( ′ ) e + ν e ) = 2 . 346 - 0.331 + 0.418 ( 0 . 792 - 0.118 + 0.141 ) × 10 - 2 and $${{\mathcal {B}}}(D_s^+ \rightarrow \eta ^{(\prime )} \mu ^+\nu _\mu )=2.320_{-0.327}^{+0.413}(0.773_{-0.115}^{+0.138})\times 10^{-2}$$ B ( D s + → η ( ′ ) μ + ν μ ) = 2 . 320 - 0.327 + 0.413 ( 0 . 773 - 0.115 + 0.138 ) × 10 - 2 for $$\ell = (e, \mu )$$ ℓ = ( e , μ ) channels respectively. And in addition to that, the mixing angle for $$\eta -\eta '$$ η - η ′ with $$\varphi $$ φ and ratio for the different decay channels $${{\mathcal {R}}}_{\eta '/\eta }^\ell $$ R η ′ / η ℓ are given, which show good agreement with the recent BESIII measurements.

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“…Theoretically, the branching fractions for semileptonic decay D + s → ηℓ + ν ℓ are related to the TFF that can be calculated by various different approaches, such as the constituent quark model (CQM) [7][8][9][10], the light-front quark model (LFQM) [11][12][13][14][15], the covariant confined quark model (CCQM) [16][17][18][19], the QCD light-cone sum rules (LCSR) [20][21][22][23][24], and the lattice QCD (LQCD) [25][26][27][28][29]. The LCSR approach is based on the operator product expansion (OPE) near the lightcone x 2 0 and parameterizes all the non-perturbative dynamics into the light-cone distribution amplitudes (LCDAs), which have been applied by many semileptonic decay processes [30][31][32][33][34][35][36][37][38][39][40][41][42]. In this paper, we will calculate the D s → η TFF within LCSR approach up to next-to-leading order (NLO) QCD corrections accuracy.…”

Section: Introductionmentioning

confidence: 99%

$η^{(\prime)}$-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,

Fu,

Zhong

et al. 2021

Preprint

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In this paper, we make a detailed discussion on the η-meson leading-twist light-cone distribution amplitude (LCDA) φ 2;η (u, µ) by using the QCD sum rules approach under the background field theory. Taking both the non-perturbative condensates up to dimension-six and the next-to-leading order (NLO) QCD corrections to the perturbative part, its first three moments ξ n 2;η | µ0 with n = (2, 4, 6) can be determined, where the initial scale µ 0 is set as the usual choice of 1 GeV. Numerically, we obtain ξ 2 2;η | µ0 = 0.204 +0.008 −0.012 , ξ 4 2;η | µ0 = 0.092 +0.006 −0.007 , and ξ 6 2;η | µ0 = 0.054 +0.004 −0.005 . Next, we calculate the D s → η transition form factor (TFF) f + (q 2 ) within the QCD light-cone sum rules approach up to NLO level. Its value at the large recoil region is f + (0) = 0.484 +0.039 −0.036 . After extrapolating the TFF to the allowable physical region, we then obtain the total decay widthes and the branching fractions of the semi-leptonic31.197 +5.456 −4.323 ) × 10 −15 GeV, B(D + s → ηe + ν e ) = 2.389 +0.418 −0.331 for D + s → ηe + ν e channel, and Γ(D + s → ηµ + ν µ ) = (30.849 +5.397 −4.273 ) × 10 −15 GeV, B(D + s → ηµ + ν µ ) = 2.362 +0.413 −0.327 for D + s → ηµ + ν µ channel respectively. Those values show good agreement with the recent BES-III measurements.

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Helicity form factors for $$D_{(s)} \rightarrow A \ell \nu $$ process in the light-cone QCD sum rules approach

Cited by 6 publications

References 39 publications

Up-down Asymmetries and Angular Distributions in $D\to K_{1}(\to Kππ)\ell^+ν_{\ell}$

Up-down Asymmetries and Angular Distributions in $D\to K_{1}(\to Kππ)\ell^+ν_{\ell}$

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

$η^{(\prime)}$-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$

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