Independence of current components, polarization vectors, and reference frames in the light-front quark model analysis of meson decay constants

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

doi:10.1103/physrevd.107.053003

Cited by 11 publications

(29 citation statements)

References 38 publications

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“…In this work, we extend our previous LFQM analyses [25,26] for the decay constant and the DAs of the ground 1S state light pseudoscalar mesons through the matrix elements ⟨0|q(z)Γq(−z)|P ⟩ of the operators Γ = (γ µ γ 5 , iγ 5 , σ µν γ 5 ) to include both (1S, 2S) state heavy-light and heavy-heavy pseudoscalar mesons [49].…”

Section: Introductionmentioning

confidence: 91%

“…The decay constant of the vector meson was also investigated for both longitudinal and transverse polarizations, obtaining a self-consistent result independent of all possible combinations of the current components and the polarizations. In particular, in Ref [49], it was explicitly demonstrated that the decay constants obtained via the "Type II" link between the BS model and the LFQM are precisely equivalent to those obtained directly in the LFQM, where the on-mass shell condition of the constituents is enforced.…”

Section: Introductionmentioning

confidence: 97%

“…In particular, the LFQM is the theoretical framework based on the LFD that has been highly successful in explaining simultaneously both the mass spectra and the wave function related observables including the electroweak properties of mesons [27][28][29][30][31][32][33][34][35]. In this model, mesons are treated as bound states of constituent quarks and antiquarks.…”

Section: Introductionmentioning

confidence: 99%

“…Subsequent works using the same "Type II" link [24] have been made for the analyses of twist-2 and twist-3 DAs of the light pseudoscalar (π, K) mesons [25,26] through the matrix elements ⟨0|q(z)Γq(−z)|P ⟩ of the nonlocal operators Γ = (γ µ γ 5 , iγ 5 , σ µν γ 5 ), discussing the link between the chiral symmetry of QCD and the numerical results of the LFQM. In the very recent work [49], the decay constant for pseudoscalar meson with the axialvector (γ µ γ 5 ) current in the equal quark and antiquark mass case was investigated in the LFQM and the selfconsistent result independent of the current components was obtained. The decay constant of the vector meson was also investigated for both longitudinal and transverse polarizations, obtaining a self-consistent result independent of all possible combinations of the current components and the polarizations.…”

Section: Introductionmentioning

confidence: 99%

“…We also investigate the different helicity contributions to the decay constants defined through different operators Γ and perform a quantitative analysis of each helicity component for different heavy-light and heavy-heavy pseudoscalar meson systems. For the numerical calculations, we present the results both for the ground state (1S) and the radially excited state (2S) of heavy pseudoscalar mesons, which were discussed in our recent work [31]. We then scrutinize the shape of the leading-and higher-twist DAs and their ξ-moments, where ξ = 2x − 1 with the LF longitudinal momentum fraction x of the constituent.…”

Section: Introductionmentioning

confidence: 99%

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

Arifi,

Choi,

2023

Phys. Rev. D

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Section: Introductionmentioning

confidence: 91%

Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

Arifi,

Choi,

2023

Phys. Rev. D

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Decay constants of $$ c\overline{b} $$ mesons involving the ten heavy flavor-changing currents at N3LO QCD

Tao,

Xiao

2024

J. High Energ. Phys.

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Within the nonrelativistic QCD (NRQCD) framework, we complete the three-loop calculations of the NRQCD renormalization constants and the matching coefficients, for the heavy flavor-changing temporal vector, spatial-spatial tensor, spatial-temporal axial-tensor currents, which are coupled to the P-wave $$ c\overline{b} $$ c b ¯ mesons. We further study the ten decay constants for the $$ c\overline{b} $$ c b ¯ mesons (Bc, $$ {B}_c^{\ast } $$ B c ∗ , $$ {B}_{c0}^{\ast } $$ B c 0 ∗ , Bc1) coupled with the ten heavy flavor-changing currents involving (pseudo-)scalar, (axial-)vector and (axial-)tensor up to the next-to-next-to-next-to-leading order (N3LO) of αs. We obtain the six ratios of decay constants by approximating them to the corresponding ratios of matching coefficients. We find the N3LO perturbative QCD results for the six ratios of decay constants have good convergence and weak scale-dependence. We finally predict the hierarchical relationship among the ten decay constants for the $$ c\overline{b} $$ c b ¯ mesons coupled with the ten currents.

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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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Independence of current components, polarization vectors, and reference frames in the light-front quark model analysis of meson decay constants

Cited by 11 publications

References 38 publications

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

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

Decay constants of $$ c\overline{b} $$ mesons involving the ten heavy flavor-changing currents at N3LO QCD

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

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