Hadronic decays of B_c mesons with flavor SU(3)_F symmetry

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.

arXiv comment12 pages, 2 tables, no figures

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Cited by in corpus (4)

• Parton Distribution Functions of Heavy Mesons on the Light Front
• $B_c$ mesons and their properties on the light front
• Weak decays of $B_c$ into two hadrons under flavor SU(3) symmetry
• CP violation in non-leptonic $B_c$ decays to excited final states