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SU(3) symmetry breaking in decay constants and electromagnetic properties of pseudoscalar heavy mesons
High Energy Physics - Phenomenology · Submitted 1 Oct 2009
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The values $f_{D_s}/f_D= 1.29\pm0.07$ and $f_{B_s}/f_B= 1.32\pm 0.08$ are obtained, which are not only chiefly determined by the ratio of light quark masses $m_s/m_q$, but also insensitive to the heavy quark masses $m_{c,b}$ and the decay constants $f_{D,B}$.
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The abstract, sentence by sentence
In this paper, the decay constants and mean square radii of pseudoscalar heavy mesons are studied in the SU(3) symmetry breaking. Within the light-front framework, the ratios $f_{D_s}/f_D$ and $f_{B_s}/f_B$ are individually estimated using the hyperfine splittings in the $D_{(s)}^*-D_{(s)}$ and $B_{(s)}^*-B_{(s)}$ states and the light quark masses, $m_{s,q}$ ($q=u,d$), to extract the wave function parameter $\beta$. The values $f_{D_s}/f_D= 1.29\pm0.07$ and $f_{B_s}/f_B= 1.32\pm 0.08$ are obtained, which are not only chiefly determined by the ratio of light quark masses $m_s/m_q$, but also insensitive to the heavy quark masses $m_{c,b}$ and the decay constants $f_{D,B}$. The dependence of $f_{B_c}/f_B$ on $\Delta M_{B_cB^*_c}$ with the varied charm quark masses is also shown. In addition, the mean square radii are estimated as well. The values $\sqrt{<r^2_{D_s^+}><r^2_{D^+}>} =0.740^{-0.041}_{+0.050}$ and $\sqrt{<r^2_{B_s^0}><r^2_{B^0}>} =0.711^{-0.049}_{+0.058}$ are obtained, and the sensitivities of $<r^2_P >$ on the heavy and light quark masses are similar to those of the decay constants.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this paper, the decay constants and mean square radii of pseudoscalar heavy mesons are studied in the SU(3) symmetry breaking. | contribution 0.97 | 0.88 | 0.08 | asserted 0.94 |
| s1 | Within the light-front framework, the ratios $f_{D_s}/f_D$ and $f_{B_s}/f_B$ are individually estimated using the hyperfine splittings in the $D_{(s)}^*-D_{(s)}$ and $B_{(s)}^*-B_{(s)}$ states and the light quark masses, $m_{s,q}$ ($q=u,d$), to extract the wave function parameter $\beta$. | method 0.99 | 0.92 | 0.07 | asserted 1.00 |
| s2 | The values $f_{D_s}/f_D= 1.29\pm0.07$ and $f_{B_s}/f_B= 1.32\pm 0.08$ are obtained, which are not only chiefly determined by the ratio of light quark masses $m_s/m_q$, but also insensitive to the heavy quark masses $m_{c,b}$ and the decay constants $f_{D,B}$. | result 0.99 | 0.95 | 0.60 | asserted 1.00 |
| s3 | The dependence of $f_{B_c}/f_B$ on $\Delta M_{B_cB^*_c}$ with the varied charm quark masses is also shown. | contribution 0.63 | 0.89 | 0.04 | asserted 0.98 |
| s4 | In addition, the mean square radii are estimated as well. | contribution 0.96 | 0.90 | 0.03 | asserted 0.95 |
| s5 | The values $\sqrt{<r^2_{D_s^+}><r^2_{D^+}>} =0.740^{-0.041}_{+0.050}$ and $\sqrt{<r^2_{B_s^0}><r^2_{B^0}>} =0.711^{-0.049}_{+0.058}$ are obtained, and the sensitivities of $<r^2_P >$ on the heavy and light quark masses are similar to those of the decay constants. | result 1.00 | 0.95 | 0.16 | asserted 1.00 |
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The paper
Original abstract
In this paper, the decay constants and mean square radii of pseudoscalar heavy mesons are studied in the SU(3) symmetry breaking. Within the light-front framework, the ratios $f_{D_s}/f_D$ and $f_{B_s}/f_B$ are individually estimated using the hyperfine splittings in the $D_{(s)}^*-D_{(s)}$ and $B_{(s)}^*-B_{(s)}$ states and the light quark masses, $m_{s,q}$ ($q=u,d$), to extract the wave function parameter $\beta$. The values $f_{D_s}/f_D= 1.29\pm0.07$ and $f_{B_s}/f_B= 1.32\pm 0.08$ are obtained, which are not only chiefly determined by the ratio of light quark masses $m_s/m_q$, but also insensitive to the heavy quark masses $m_{c,b}$ and the decay constants $f_{D,B}$. The dependence of $f_{B_c}/f_B$ on $\Delta M_{B_cB^*_c}$ with the varied charm quark masses is also shown. In addition, the mean square radii are estimated as well. The values $\sqrt{<r^2_{D_s^+}><r^2_{D^+}>} =0.740^{-0.041}_{+0.050}$ and $\sqrt{<r^2_{B_s^0}><r^2_{B^0}>} =0.711^{-0.049}_{+0.058}$ are obtained, and the sensitivities of $<r^2_P >$ on the heavy and light quark masses are similar to those of the decay constants.
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References
How the literature uses it
4 arXiv papers cite this in 4 sentences
Papers citing it · 1 sentence without a confident label
Compares with it 1 paper
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Table [ref] compares the experimental $f_D_s^+$ with theoretical calculations [ref] .
Leptonic Decays of Charged Pseudoscalar Mesons - 2013 · Charmed mesons · 0.95
Cites it as background 2 papers
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Within the SM, $$ has been predicted using several methods [ref] .
Improved measurements of $D_s$ meson decay constant and branching fractions of $D_s^+\to K^-K^+\pi^+$, $\bar{K}{}^0K^+$ and $\eta\pi^+$ decays from Belle · Introduction · 0.92
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From theoretical perspective, various nonperturbative approaches have been proposed in the literature, e.g., see details in Refs. [ref] .
The electromagnetic form factors in the $N_{f}=4$ holographic QCD · Introduction · 0.99
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