Precise $K^{\ast }(892)\to K\pi$ branching fractions

Abstract

Although discovered more than sixty years ago, direct measurement of the $K^{\ast }(892)\to K\pi$ branching fractions is a formidable challenge that has not been attempted. Typically they are assumed to obey the isospin limit in hundreds of particle data measurements. We show that an abundance of recent amplitude analyses and other data, however, enables recovery of the ratios $\mathcal{B}(K^{\ast +}\to K^{+}{\pi }^0)/\mathcal{B}(K^{\ast +}\to K_S^0{\pi }^{+})$ and $4\mathcal{B}(K^{\ast 0}\to K_S^0{\pi }^0)/\mathcal{B}(K^{\ast 0}\to K^{+}{\pi }^{-})$ at $\sim 5\%$ precision.

4 pages, 1 table

References in corpus (14)

• Dalitz plot analysis of Ds+ --> K+ K- pi+
• Determination of the D0 -> K+pi- Relative Strong Phase Using Quantum-Correlated Measurements in e+e- -> D0 D0bar at CLEO
• Analysis of the D+ --> K- pi+ e+ nu_e decay channel
• Amplitude Analysis of B0-->K+ pi- pi0 and Evidence of Direct CP Violation in B--> K* pi decays
• Amplitude analysis and branching fraction measurement of $D_s^{+}\to K^{+}{K}^{-}{\pi }^{+}$
• Evidence for Isospin Violation and Measurement of $CP$ Asymmetries in $B\to K^{\ast }(892)\gamma$
• Observation of $a_0(1710{)}^{+}\to K_S^0{K}^{+}$ in study of the $D_s^{+}\to K_S^0{K}^{+}{\pi }^0$ decay
• Study of the decay $D_s^{+}\to K_S^0{K}_S^0{\pi }^{+}$ and observation an isovector partner to $f_0(1710)$
• Amplitude analysis and branching-fraction measurement of \boldmath $D_s^{+}\to K_S^0{\pi }^{+}{\pi }^0$
• Measurements of the absolute branching fractions and $CP$ asymmetries for $D^{+}\to K_{S,L}^0{K}^{+}({\pi }^0)$
• Study of the decay $D^{+}\to K^{\ast }(892{)}^{+}{K}_S^0$ in $D^{+}\to K^{+}{K}_S^0{\pi }^0$
• Study of the semileptonic decay $D^0\to {\bar{K}}^0{\pi }^{-}{e}^{+}{\nu }_e$
• Test of lepton universality and measurement of the form factors of $D^0\to K^{\ast }(892{)}^{-}{\mu }^{+}{\nu }_{\mu }$
• Measurement of $B\to K{}^{\ast }(892)\gamma$ decays at Belle II