Pseudoscalar meson decay constants and distribution amplitudes up to the twist-4 in the light-front quark model

Arifi, Ahmad Jafar; Choi, Ho-Meoyng; Ji, Chueng-Ryong

doi:10.1103/physrevd.108.013006

Cited by 8 publications

(2 citation statements)

References 60 publications

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“…Regarding the pion leading-twist DA, various theories can be employed to calculate it, such as the Lattice QCD (LQCD) [50], DS model [51], and QCD/AdS model [52]. The first two Gegenbauer moments are extracted by fitting the LCSR calculation of the pion form factor from experimental data points [53]. For the pion twist-3 DAs, the light-front quark model (LFQM) [54] and QCDSR [55−57] approach can be employed.…”

Section: → πmentioning

confidence: 99%

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decay process within the QCDSR approach*

Chen 陈,

Fu 付,

Zhong 钟

et al. 2024

Chinese Phys. C

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In the paper, we investigate the charmed meson rare decay process $D^+ \to \pi^+\nu\bar\nu$ by using the QCD sum rules approach. Firstly, the pion twist-2, 3 distribution amplitudes (DA) moments $\langle\xi_{2;\pi}^n\rangle|_\mu$ and $\langle \xi_{3;\pi}^{(p,\sigma),n}\rangle|_\mu$ are calculated up to 10th-order and fourth-order in the QCD sum rules under background field theory respectively. After constructing the light-cone harmonic oscillator model for pion twist-2, 3 DAs, we get their behaviors by matching the calculated $\xi$-moments. Then, the $D\to \pi$ transition form factors (TFFs) are calculated by using QCD light-cone sum rules approach. The vector form factor at large recoil region is $f_+^{D\to\pi}(0) = 0.627^{+0.120}_{-0.080}$. By taking the rapidly $z(q^2,t)$ converging simplified series expansion, we present the TFFs and the corresponding angular coefficients in the whole squared momentum transfer physical region. Based on the Non-standard neutrino interactions, the $D^+ \to \pi^+ \nu\bar\nu$ decay can be related to $\bar D^0 \to \pi^+ e\bar \nu_e$ decay indirectly. Thus, we firstly display the semileptonic decay process $\bar D^0 \to \pi^+ e\bar \nu_e$ differential decay widths and branching fraction with ${\cal B}(\bar D^0\to\pi^+e\bar\nu_e) = 0.308^{+0.155}_{-0.066} \times 10^{2}$. The $\bar D^0\to\pi^+e\bar\nu_e$ differential/total predictions for forward-backward asymmetry, $q^2$-differential flat terms and lepton polarization asymmetry are also given. Then, prediction for the $D^+ \to \pi^+ \nu\bar\nu$ branching fraction is ${\cal B}(D^+ \to \pi^+ {\nu }{\bar\nu}) = 1.85^{+0.93}_{-0.46}\times10^{-8}$. 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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Section: → πmentioning

confidence: 99%

“…Meanwhile, the -series parameters also converge to the simplified series expansion (SSE-II), which incorporates the desired threshold behaviour [53,87]; the definition for is…”

Section: Numerical Analysismentioning

confidence: 99%

decay process within the QCDSR approach*

Chen 陈,

Fu 付,

Zhong 钟

et al. 2024

Chinese Phys. C

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Energy momentum tensor on and off the light cone: exposition with scalar Yukawa theory

Cao,

Xu,

et al. 2024

J. High Energ. Phys.

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We compute the gravitational form factors Ai, Di and $$ {\overline{c}}_i $$ c ¯ i of the scalar Yukawa theory using both the light-cone and covariant perturbation theory at the one-loop level. The light-cone formalism provides a potential approach to access these form factors beyond the perturbative regime. However, unlike the covariant formulation, the Poincaré symmetry on the light cone is not manifest. In this work, we use perturbation theory as a benchmark to extract the gravitational form factors from the light-front energy-momentum tensor. By comparing results on and off the light cone, we identify T++, T+a, T+−, T12 as the “good currents” that are properly renormalized and can be used to extract the gravitational form factors.

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Distribution amplitude and decay constant of 1S and 2S state light mesons in the light-front quark model

Syahbana,

Arifi,

Mart

2024

ITM Web Conf.

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Studying meson structures is essential for gaining insights into the nonperturbative nature of Quantum Chromodynamics (QCD). This study will focus on calculating the decay constant and distribution amplitudes (DAs) of unflavored light mesons (π and ρ) in the 1S and 2S states using the Light Front Quark Model. This study utilizes the QCD-motivated Hamiltonian, taking into account both contact and smeared spin-spin interactions. The two lowest harmonic oscillator bases are employed in this work to achieve improved results for the 2S states. The study found the optimal mixing parameter in basis expansion coefficients to be θ = 10°. Light meson properties, including the mass spectrum, decay constant, and twist-2 DAs, are then predicted using model parameters fixed through the variational principle. While the contact spin-spin interaction yields poor accuracy, the results from the smeared interaction generally agree well with experimental data and other theoretical models with $ f_{\pi}^{1S}=130 $ MeV and $ f_{\rho}^{1S}=210 $ MeV in the mixed state. Unlike the case for the 1S state, it should be noted that the properties of the 2S state are sensitive to the mixing parameter θ. In addition, we observe that the decay constant for ρ(2S) is $ f_{\rho}^{2S}=116 $ MeV. While for π(2S) the decay constant is extremely small with the value of $ f_{\pi}^{2S}=0.9 $ MeV, which is mainly due to the dynamical chiral symmetry breaking.

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Pseudoscalar meson decay constants and distribution amplitudes up to the twist-4 in the light-front quark model

Cited by 8 publications

References 60 publications

decay process within the QCDSR approach*

decay process within the QCDSR approach*

Energy momentum tensor on and off the light cone: exposition with scalar Yukawa theory

Distribution amplitude and decay constant of 1S and 2S state light mesons in the light-front quark model

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