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Hadronic decays of B_c mesons with flavor SU(3)_F symmetry
High Energy Physics - Phenomenology · Submitted 24 Aug 2017
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We point out that a combined study of $SU(3)_F$ amplitudes in these decays can be used to constrain the angle $\gamma$ of the Cabibbo-Kobayashi-Maskawa (CKM) matrix.
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The abstract, sentence by sentence
We study implications of a recent observation of non-leptonic $B^+_c\to D^0 K^+$ decay and a bound on $B^+_c\to D^0 \pi^+$ transition on CP-violating asymmetries in $B_c$ decays. In the U-spin symmetry limit, we derive a relation between the CP-asymmetries in the $B^+_c\to D^0 K^+$ and $B^+_c\to D^0 \pi^+$ channels and the corresponding branching ratios. We also derive several relations between non-leptonic $B_c$ decays into the final states with $D$ mesons in the flavor $SU(3)_F$ limit. We point out that a combined study of $SU(3)_F$ amplitudes in these decays can be used to constrain the angle $\gamma$ of the Cabibbo-Kobayashi-Maskawa (CKM) matrix.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study implications of a recent observation of non-leptonic $B^+_c\to D^0 K^+$ decay and a bound on $B^+_c\to D^0 \pi^+$ transition on CP-violating asymmetries in $B_c$ decays. | contribution 0.67 | 0.42 | 0.09 | asserted 0.86 |
| s1 | In the U-spin symmetry limit, we derive a relation between the CP-asymmetries in the $B^+_c\to D^0 K^+$ and $B^+_c\to D^0 \pi^+$ channels and the corresponding branching ratios. | result 0.76 | 0.95 | 0.20 | asserted 1.00 |
| s2 | We also derive several relations between non-leptonic $B_c$ decays into the final states with $D$ mesons in the flavor $SU(3)_F$ limit. | result 0.52 | 0.94 | 0.15 | asserted 1.00 |
| s3 | We point out that a combined study of $SU(3)_F$ amplitudes in these decays can be used to constrain the angle $\gamma$ of the Cabibbo-Kobayashi-Maskawa (CKM) matrix. | interpretation 0.85 | 0.74 | 0.43 | hedged possibility 0.90 |
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The paper
Original abstract
We study implications of a recent observation of non-leptonic $B^+_c\to D^0 K^+$ decay and a bound on $B^+_c\to D^0 \pi^+$ transition on CP-violating asymmetries in $B_c$ decays. In the U-spin symmetry limit, we derive a relation between the CP-asymmetries in the $B^+_c\to D^0 K^+$ and $B^+_c\to D^0 \pi^+$ channels and the corresponding branching ratios. We also derive several relations between non-leptonic $B_c$ decays into the final states with $D$ mesons in the flavor $SU(3)_F$ limit. We point out that a combined study of $SU(3)_F$ amplitudes in these decays can be used to constrain the angle $\gamma$ of the Cabibbo-Kobayashi-Maskawa (CKM) matrix.
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References
How the literature uses it
3 arXiv papers cite this in 5 sentences
Papers citing it · 2 sentences without a confident label
Cites it as background 3 papers
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Up to now, the flavor SU(3) symmetry approach has employed to analyze the $B_c$ meson decays into charmed tetraquarks [ref] and charmed or bottomed mesons [ref] .
Weak decays of $B_c$ into two hadrons under flavor SU(3) symmetry · Introduction · 0.88
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General discussions with flavor symmetry can be found in [ref] .
Study of $B^\pm_c \to (D^0 K^\pm, D^0 \pi^\pm)$ decays · Introduction · 1.00
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Some recent SU(3) analyses of two-body $B_c$ decays can be found in Ref. [ref] .
Unification of Flavor SU(3) Analyses of Heavy Hadron Weak Decays · $B_c→DP, DV$ decays · 1.00
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