Theoretical mass variations between Gaussian and hydrogenic wavefunctions induce pronounced non-linear sensitivity in two-body non-leptonic branching fractions of D, Ds, B, and Bs mesons under factorization, with Gaussian masses aligning better for bottom decays.
Study on the ${\Upsilon}(1S)$ ${\to}$ $B_{c}M$ weak decays
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abstract
Motivated by the prospects of the potential ${\Upsilon}(1S)$ particle at high-luminosity heavy-flavor experiments, we studied the ${\Upsilon}(1S)$ ${\to}$ $B_{c}M$ weak decays, where $M$ $=$ ${\pi}$, ${\rho}$, $K^{(\ast)}$. The nonfactorizable contributions to hadronic matrix elements are taken into consideration with the QCDF approach. It is found that the CKM-favored ${\Upsilon}(1S)$ ${\to}$ $B_{c}{\rho}$ decay has branching ratio of ${\cal O}(10^{-10})$, which might be measured promisingly by the future experiments.
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Sensitivity of Two-Body Non-Leptonic Branching Fractions to Theoretical Mass Variations in Heavy-Light Mesons
Theoretical mass variations between Gaussian and hydrogenic wavefunctions induce pronounced non-linear sensitivity in two-body non-leptonic branching fractions of D, Ds, B, and Bs mesons under factorization, with Gaussian masses aligning better for bottom decays.