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Extraction of the D^*D\pi coupling from D^* decays
High Energy Physics - Phenomenology · Submitted 3 Mar 1998
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim (The experimental limit \Gamma_{D^{*+}} < 0.13 MeV excludes the $g=0.76$ solution.) Predictions for the D^* and B^* widths are given.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
The decays D^* -> D\pi and D^* -> D\gamma are well described by heavy meson chiral perturbation theory. With the recent measurement of Br(D^{*+} -> D^+ \gamma), the D^{*0}, D^{*+}, and D_s^* branching fractions can be used to extract the D^*D\pi and D^*D\gamma couplings $g$ and $\beta$. The D^* -> D\gamma decays receive important corrections at order $\sqrt{m_q}$ and, from the heavy quark magnetic moment, at order $1/m_c$. Here all the decay rates are computed to one-loop, to first order in $m_q$ and $1/m_c$, including the effect of heavy meson mass splittings, and the counterterms at order $m_q$. A fit to the experimental data gives two possible solutions, g=0.27^{+.04}_{-.02}^{+.05}_{-.02}, \beta=0.85^{+.2}_{-.1}^{+.3}_{-.1} GeV^{-1} or g=0.76^{+.03}_{-.03}^{+.2}_{-.1}, \beta=4.90^{+.3}_{-.3}^{+5.0}_{-.7} GeV^{-1}. The first errors are experimental, while the second are estimates of the uncertainty induced by the counterterms. (The experimental limit \Gamma_{D^{*+}} < 0.13 MeV excludes the $g=0.76$ solution.) Predictions for the D^* and B^* widths are given.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The decays D^* -> D\pi and D^* -> D\gamma are well described by heavy meson chiral perturbation theory. | background 1.00 | 0.09 | 0.04 | asserted 1.00 |
| s1 | With the recent measurement of Br(D^{*+} -> D^+ \gamma), the D^{*0}, D^{*+}, and D_s^* branching fractions can be used to extract the D^*D\pi and D^*D\gamma couplings $g$ and $\beta$. | contribution 0.47 | 0.25 | 0.24 | asserted 0.77 |
| s2 | The D^* -> D\gamma decays receive important corrections at order $\sqrt{m_q}$ and, from the heavy quark magnetic moment, at order $1/m_c$. | background 0.89 | 0.13 | 0.03 | asserted 1.00 |
| s3 | Here all the decay rates are computed to one-loop, to first order in $m_q$ and $1/m_c$, including the effect of heavy meson mass splittings, and the counterterms at order $m_q$. | method 0.90 | 0.93 | 0.05 | asserted 1.00 |
| s4 | A fit to the experimental data gives two possible solutions, g=0.27^{+.04}_{-.02}^{+.05}_{-.02}, \beta=0.85^{+.2}_{-.1}^{+.3}_{-.1} GeV^{-1} or g=0.76^{+.03}_{-.03}^{+.2}_{-.1}, \beta=4.90^{+.3}_{-.3}^{+5.0}_{-.7} GeV^{-1}. | result 1.00 | 0.91 | 0.65 | asserted 0.94 |
| s5 | The first errors are experimental, while the second are estimates of the uncertainty induced by the counterterms. | interpretation 0.76 | 0.65 | 0.06 | asserted 1.00 |
| s6 | (The experimental limit \Gamma_{D^{*+}} < 0.13 MeV excludes the $g=0.76$ solution.) Predictions for the D^* and B^* widths are given. | result 0.65 | 0.70 | 0.40 | asserted 1.00 |
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The paper
Original abstract
The decays D^* -> D\pi and D^* -> D\gamma are well described by heavy meson chiral perturbation theory. With the recent measurement of Br(D^{*+} -> D^+ \gamma), the D^{*0}, D^{*+}, and D_s^* branching fractions can be used to extract the D^*D\pi and D^*D\gamma couplings $g$ and $\beta$. The D^* -> D\gamma decays receive important corrections at order $\sqrt{m_q}$ and, from the heavy quark magnetic moment, at order $1/m_c$. Here all the decay rates are computed to one-loop, to first order in $m_q$ and $1/m_c$, including the effect of heavy meson mass splittings, and the counterterms at order $m_q$. A fit to the experimental data gives two possible solutions, g=0.27^{+.04}_{-.02}^{+.05}_{-.02}, \beta=0.85^{+.2}_{-.1}^{+.3}_{-.1} GeV^{-1} or g=0.76^{+.03}_{-.03}^{+.2}_{-.1}, \beta=4.90^{+.3}_{-.3}^{+5.0}_{-.7} GeV^{-1}. The first errors are experimental, while the second are estimates of the uncertainty induced by the counterterms. (The experimental limit \Gamma_{D^{*+}} < 0.13 MeV excludes the $g=0.76$ solution.) Predictions for the D^* and B^* widths are given.
Human review
References
How the literature uses it
19 arXiv papers cite this in 31 sentences
Papers citing it · 18 sentences without a confident label
Uses its method or tool 6 papers
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The relevant formula, derived in HMChPT, reads [ref] g_c(m_π^2) = g_c^(0)[ 1 - 4 (g_c^(0))^2 (4 πf r_0)^2 (m_πr_0)^2 log(m_πr_0)^2 + c_gr_0^2 (m_πr_0)^2 ] , with the particularly interesting parameter $g_c^(0)$ which appears in all the HMChPT formulas that are being used to guide the chiral extrapolations of the phenomenologically interesting quantities in charm physics computed on the lattice.
D*-->Dpi and D*-->Dgamma decays: Axial coupling and Magnetic moment of D* meson · Towards the physical results · 0.90
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The effective Lagrangians describing the coupling between charmed mesons and photons, as well as the contact interactions among charmed mesons, are given by [ref] [equation] where the pseudoscalar (vector) charmed mesons $D^(*)=(D^(*)0,D^(*)+)$, $D̅^(*)$ represents anticharmed mesons, $δ=m_D^*-m_D$, and the magnetic field $ℬ^k=ϵ^ijk ∂^i A^j$.
Radiative decays of $X(3872)$ within $D{\bar D}^*$ molecular framework · Effective Lagrangians · 0.80
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The low momentum interaction effective theory Lagrangian at leading order is written as [ref] [equation] where $V_a b^μ=1/2(ξ^† ∂^μ ξ+ξ∂^μ ξ^†)_a b$ and $A_a b^μ=i/2(ξ^† ∂^μ ξ-ξ∂^μ ξ^†)_a b$ and $ξ=√(Σ)$. $Σ=Exp(2iM/f_P)$ is exponentially related to the light pseudoscalar mesons with [equation]
Hadronic molecule interpretation of $T^+_{cc}$ and its beauty-partners · Low momentum interaction effective theory · 0.95
Uses its data or values 3 papers
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In the third line, the first term describes the coupling between the charmed mesons and a pion, with the coupling constant $g̅≃0.27$;[Here the $g̅$ parameter is related to the $g$ parameter in Ref. [ref] by $g̅=g/2$.] the second term gives the magnetic couplings for the charmed mesons and a photon [ref] with the matrix of transition magnetic moments $μ_D=diag(μ_D^0,μ_D^+)$, where $μ_D^+=-0.15 GeV^-1$ and $μ_D^0=0.55 GeV^-1$ are obtained by reproducing the partial widths $Γ[D^*+→D^+γ]=1.33 keV$ [ref] and $Γ[D^*0 →D^0γ]=19.52 keV$ [ref] ; the last term is the isoscalar contact interaction for $D^*D→D^*D$.
Radiative decays of the heavy-quark-spin molecular partner of $T_{cc}^+$ · Effective Lagrangian and Power Counting · 0.85
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While $g_2$ and $c_1$ are unknown parameters at present, $β$ occurs in HH$χ$PT predictions involving measured quantities: Ref. [ref] obtains $β^-1 ∼1200$ MeV from radiative decays within the lowest charm meson multiplet, Ref. [ref] found $β^-1 = 275-375$ MeV, and Ref. [ref] included the effects of the excited charm meson multiplet to find $β^-1$ = 670 MeV.
Radiative Decays X(3872) -> psi(2S)+gamma and psi(4040) -> X(3872)+gamma in Effective Field Theory · $→ψ(2S) γ$ · 0.98
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Out of these 5 numbers, one is well known, $μ_h$, being fixed by the $D^*→Dγ$ ($B^*→Bγ$) partial branching fraction [ref] .
Radiative Semileptonic Decays of Beautiful Hadrons · Discussion · 0.96
Compares with it 3 papers
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To convert to our form, replace the $$ scale $μ$ in Ref. [ref] with the chiral scale $Λ$ and set their quantity $Δ̅$ to zero, where [equation] with $d$ the number of dimensions. $F(x)$ is only needed for positive $x$; so we use the simpler form given in Ref. [ref] , rather than the more general version worked out in Ref. [ref] and quoted in Ref. [ref] .
Heavy-Light Semileptonic Decays in Staggered Chiral Perturbation Theory · Form factors for 3-flavor partially quenched · 0.96
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The expression for the wave-function renormalization factor $Z_B^-$ obtained from the traditional HH$χ$PT Lagrangian differs from our result [ref] [ref] , but the sum of all corrections agrees with our result [ref].
The Simplest B Decay, Precisely · Reorganizing HH$χ$PT · 0.99
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This value is consistent with the predictions obtained using a similar formalism and older data [ref] and with those in various quark models [ref] .
Weak decays of unstable $b$-mesons · $B_s^*→B_sγ$ and the $B_s^*$ width · 0.98
Cites it as background 1 paper
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For a discussion of these and higher order EM couplings among the $D$-mesons and their excited states see Ref. [ref] .
Using the decay \psi(4160) -> X(3872) \gamma\ to probe the molecular content of the X(3872) · EFT Lagrangian · 0.98
Discussion
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