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Probing QCD dynamics and the standard model with $D_{(s)} \to P^+ P^0 \gamma$ decays
High Energy Physics - Phenomenology · Submitted 16 Apr 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The forward-backward asymmetry is suitable to probe the QCD frameworks, in particular the $s$-channel dependent weak annihilation contributions in QCDF against the markedly different resonance structure in HH$\chi$PT.
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The abstract, sentence by sentence
We compute 10 radiative three-body decays of charged charmed mesons $D^+ \to P^+ P^0 \gamma$ and $D_s \to P^+ P^0 \gamma$, $P=\pi, K$, in leading order QCDF, HH$\chi$PT and the soft photon approximation. We work out decay distributions and asymmetries in the standard model and with new physics in the electromagnetic dipole operators. The forward-backward asymmetry is suitable to probe the QCD frameworks, in particular the $s$-channel dependent weak annihilation contributions in QCDF against the markedly different resonance structure in HH$\chi$PT. These studies can be performed with Cabibbo-favored modes $D_s \to \pi^+ \pi^0 \gamma$, $D^+ \to \pi^+ \overline{K}^0 \gamma$ and $D_s \to K^+ \overline{K}^0 \gamma$ with ${\cal{O}}(10^{-4}-10^{-3})$-level branching ratio, which are standard model-like and induced by different hadronic dynamics. Understanding of the latter can therefore be improved in a data-driven way and sharpens the interpretation of standard model tests. Singly Cabibbo-suppressed modes such as $ D^+ \to \pi^+ \pi^0 \gamma$, $D_s \to \pi^+ K^0 \gamma$, $D_s \to K^+ \pi^0 \gamma$ with branching ratios within $\sim 10^{-5}-10^{-4}$ are sensitive to new physics that can be signalled in the forward-backward asymmetry and in the CP-asymmetry of the rate, ideally in the Dalitz region but also in single differential distributions. Results complement those with neutral $D^0 \to PP \gamma$ decays.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We compute 10 radiative three-body decays of charged charmed mesons $D^+ \to P^+ P^0 \gamma$ and $D_s \to P^+ P^0 \gamma$, $P=\pi, K$, in leading order QCDF, HH$\chi$PT and the soft photon approximation. | contribution 0.88 | 0.95 | 0.06 | asserted 0.99 |
| s1 | We work out decay distributions and asymmetries in the standard model and with new physics in the electromagnetic dipole operators. | contribution 0.82 | 0.93 | 0.07 | asserted 0.98 |
| s2 | The forward-backward asymmetry is suitable to probe the QCD frameworks, in particular the $s$-channel dependent weak annihilation contributions in QCDF against the markedly different resonance structure in HH$\chi$PT. | interpretation 0.90 | 0.45 | 0.32 | asserted 0.75 |
| s3 | These studies can be performed with Cabibbo-favored modes $D_s \to \pi^+ \pi^0 \gamma$, $D^+ \to \pi^+ \overline{K}^0 \gamma$ and $D_s \to K^+ \overline{K}^0 \gamma$ with ${\cal{O}}(10^{-4}-10^{-3})$-level branching ratio, which are standard model-like and induced by different hadronic dynamics. | result 0.41 | 0.42 | 0.12 | asserted 0.81 |
| s4 | Understanding of the latter can therefore be improved in a data-driven way and sharpens the interpretation of standard model tests. | interpretation 0.99 | 0.09 | 0.18 | hedged possibility 0.61 |
| s5 | Singly Cabibbo-suppressed modes such as $ D^+ \to \pi^+ \pi^0 \gamma$, $D_s \to \pi^+ K^0 \gamma$, $D_s \to K^+ \pi^0 \gamma$ with branching ratios within $\sim 10^{-5}-10^{-4}$ are sensitive to new physics that can be signalled in the forward-backward asymmetry and in the CP-asymmetry of the rate, ideally in the Dalitz region but also in single differential distributions. | contribution 0.45 | 0.42 | 0.17 | asserted 0.60 |
| s6 | Results complement those with neutral $D^0 \to PP \gamma$ decays. | contribution 0.44 | 0.27 | 0.05 | asserted 0.95 |
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The paper
Original abstract
We compute 10 radiative three-body decays of charged charmed mesons $D^+ \to P^+ P^0 \gamma$ and $D_s \to P^+ P^0 \gamma$, $P=\pi, K$, in leading order QCDF, HH$\chi$PT and the soft photon approximation. We work out decay distributions and asymmetries in the standard model and with new physics in the electromagnetic dipole operators. The forward-backward asymmetry is suitable to probe the QCD frameworks, in particular the $s$-channel dependent weak annihilation contributions in QCDF against the markedly different resonance structure in HH$\chi$PT. These studies can be performed with Cabibbo-favored modes $D_s \to \pi^+ \pi^0 \gamma$, $D^+ \to \pi^+ \overline{K}^0 \gamma$ and $D_s \to K^+ \overline{K}^0 \gamma$ with ${\cal{O}}(10^{-4}-10^{-3})$-level branching ratio, which are standard model-like and induced by different hadronic dynamics. Understanding of the latter can therefore be improved in a data-driven way and sharpens the interpretation of standard model tests. Singly Cabibbo-suppressed modes such as $ D^+ \to \pi^+ \pi^0 \gamma$, $D_s \to \pi^+ K^0 \gamma$, $D_s \to K^+ \pi^0 \gamma$ with branching ratios within $\sim 10^{-5}-10^{-4}$ are sensitive to new physics that can be signalled in the forward-backward asymmetry and in the CP-asymmetry of the rate, ideally in the Dalitz region but also in single differential distributions. Results complement those with neutral $D^0 \to PP \gamma$ decays.
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How the literature uses it
3 arXiv papers cite this in 3 sentences
Papers citing it · 1 sentence without a confident label
Cites it as background 2 papers
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Over the past few decades, there are several measurements of the weak radiative decays of charmed meson [ref] , and the corresponding theoretical researches [ref] .
Weak radiative decay $\Lambda_{c}^{+}\to\Sigma^{+}\gamma$ using light-cone sum rules · Introduction · 1.00
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On the theoretical side research interest is increasing and ongoing, see Refs. [ref] .
Physics reach of ${D}_{(s)}\to \pi(K) \ell\ell$ and other charming null test opportunities · Introduction · 0.98
What it cites · 29 sentences without a confident label
Contests 2 papers
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More comments are given in [ref] . * The contributions of the diagrams $A_4,1^+$ and $C_4,1^+$ vanish in our calculation. * Missing global minus sign in $C_2^+$. * We believe that there are diagrams that have not been shown in Ref. [ref] : For each of the diagrams $A_1,2^+$, $A_1,3^+$, $A_3,3^+$, $A_3,4^+$, $E_1,2^0$ and $E_2,3^0$ there is another one in which the photon couples via a vector meson.
Radiative three-body D-meson decays in and beyond the standard model · Differences with respect to CITEMARK35Z · contest 0.79
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More comments are given in [ref] . * The contributions of the diagrams $A_4,1^+$ and $C_4,1^+$ vanish in our calculation. * Missing global minus sign in $C_2^+$. * We believe that there are diagrams that have not been shown in Ref. [ref] : For each of the diagrams $A_1,2^+$, $A_1,3^+$, $A_3,3^+$, $A_3,4^+$, $E_1,2^0$ and $E_2,3^0$ there is another one in which the photon couples via a vector meson.
Cabibbo Allowed D -> K pi gamma Decays · Differences with respect to CITEMARK35Z · contest 0.79
Builds on 1 paper
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This work complements earlier works on neutral meson decays [ref] .
Radiative three-body D-meson decays in and beyond the standard model · Summary · 0.89
Uses the method or tool of 4 papers
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The leading weak annihilation contribution ($Ø(α_s^0 (Λ_QCD/m_c)^1)$) can be determined with QCDF methods [ref] as [equation] Here, $Q_d$ is the electric charge of the down-type quarks and $λ_D_(s)$ is a non perturbative parameter of $Ø(Λ_QCD)$ which is poorly known.
QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states · QCD frameworks for $D →PP γ$ decays · 0.94
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The leading weak annihilation contribution ($Ø(α_s^0 (Λ_QCD/m_c)^1)$) can be determined with QCDF methods [ref] as [equation] Here, $Q_d$ is the electric charge of the down-type quarks and $λ_D_(s)$ is a non perturbative parameter of $Ø(Λ_QCD)$ which is poorly known.
The Radiative Decays B -> V gamma at Next-to-Leading Order in QCD · QCD frameworks for $D →PP γ$ decays · 0.94
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The leading weak annihilation contribution ($Ø(α_s^0 (Λ_QCD/m_c)^1)$) can be determined with QCDF methods [ref] as [equation] Here, $Q_d$ is the electric charge of the down-type quarks and $λ_D_(s)$ is a non perturbative parameter of $Ø(Λ_QCD)$ which is poorly known.
Factorization, the light-cone distribution amplitude of the B-meson and the radiative decay B -> gamma l nu_l · QCD frameworks for $D →PP γ$ decays · 0.94
Compares with 2 papers
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However, we obtain the same form factors for the bremsstrahlung contributions. * We obtain a relative minus sign for each vector meson in a diagram; however, we get the same relative signs for $R_γ^0/+$ as given in Eqs. (24) and (25) [ref] .
Vector and pseudoscalar charm meson radiative decays · Differences with respect to CITEMARK35Z · 0.92
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We provide a list of some differences between our form factors and those obtained in Ref. [ref] .
Cabibbo Allowed D -> K pi gamma Decays · Differences with respect to CITEMARK35Z · 0.97
Cites as support 2 papers
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A combined analysis of these partner modes allows therefore to gain insights into the resonance dynamics and new physics simultaneously, as shown for instance for radiative decays in [ref] .
The photon polarization in radiative $D$ decays, phenomenologically · Introduction · 0.96
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A combined analysis of these partner modes allows therefore to gain insights into the resonance dynamics and new physics simultaneously, as shown for instance for radiative decays in [ref] .
Testing the standard model with $D_{(s)} \to K_1 (\to K\pi\pi) \gamma$ decays · Introduction · 0.96
Cites as background 3 papers
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Instead, we refer to the literature cited below, as well as [ref] where we provide further information on kinematics, the models and our notation.
Radiative three-body D-meson decays in and beyond the standard model · QCD frameworks for $D →PP γ$ decays · 1.00
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Three-body radiative $D$ decays have been investigated previously in [ref] .
Cabibbo Allowed D -> K pi gamma Decays · Introduction · 0.96
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Three-body radiative $D$ decays have been investigated previously in [ref] .
Charm Radiative Decays with Neutral Mesons D^0 -> K^0(bar) pi^0 gamma, D^0 -> K^0(bar) eta (eta') gamma · Introduction · 0.96
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