Combined estimation for multi-measurements of branching ratio

Abstract

A maximum likelihood method is used to deal with the combined estimation of multi-measurements of a branching ratio, where each result can be presented as an upper limit. The joint likelihood function is constructed using observed spectra of all measurements and the combined estimate of the branching ratio is obtained by maximizing the joint likelihood function. The Bayesian credible interval, or upper limit of the combined branching ratio, is given in cases both with and without inclusion of systematic error.

accepted by Chinese Physics C

Cited by in corpus (24)

• Search for the semileptonic decay $D^{0(+)}\to b_1(1235{)}^{-(0)}{e}^{+}{\nu }_e$
• Measurement of $e^{+}{e}^{-}\to \eta J/\psi$ Cross Section from $\sqrt{s}=$ 3.808 GeV to 4.951 GeV
• Search for the decay $D_s^{+}\to a_0(980{)}^0{e}^{+}{\nu }_e$
• Measurement of $\psi (3686)\to \Lambda \bar{\Lambda }\eta$ and $\psi (3686)\to \Lambda \bar{\Lambda }{\pi }^0$ decays
• Search for the rare semi-leptonic decay $J/\psi \to D^{-}{e}^{+}{\nu }_e+c.c.$
• Measurement of the absolute branching fraction of ${\Lambda }_c^{+}\to p{K}_{\mathrm{S}}^0\eta$ decays
• Search for the semi-muonic charmonium decay $J/\psi \to D^{-}{\mu }^{+}{\nu }_{\mu }+c.c.$
• Study of light scalar mesons through $D_s^{+}\to {\pi }^0{\pi }^0{e}^{+}{\nu }_e$ and $K_S^0{K}_S^0{e}^{+}{\nu }_e$ decays
• Observation of $D^{+}\to {\eta }^{\prime }{\mu }^{+}{\nu }_{\mu }$ and First Study of $D^{+}\to {\eta }^{\prime }{\ell }^{+}{\nu }_{\ell }$ Decay Dynamics
• Search for the massless dark photon with $D^0\to \omega {\gamma }^{\prime }$ and $D^0\to \gamma {\gamma }^{\prime }$
• Improved measurement of the branching fraction of $h_c\to \gamma {\eta }^{\prime }/\eta$ and search for $h_c\to \gamma {\pi }^0$
• Search for the semileptonic decay $D_s^{+}\to {\pi }^0{e}^{+}{\nu }_e$
• Search for the FCNC charmonium decay $J/\psi \to D^0{\mu }^{+}{\mu }^{-}+\text{c.c.}$
• Search for the charmonium weak decay $J/\psi \to {\bar{D}}^0{\bar{K}}^{\ast 0}+c.c.$
• Search for the charmonium weak decays $J/\psi \to D_s^{-}{\rho }^{+}+c.c.$ and $J/\psi \to D_s^{-}{\pi }^{+}+c.c.$
• Observation of the decay $h_c\to 3({\pi }^{+}{\pi }^{-}){\pi }^0$
• Search for the weak decay $\psi (3686)\to {\Lambda }_c^{+}{\bar{\Sigma }}^{-}+c.c$
• Search for CP violation in $e^{+}{e}^{-}\to \psi (3770)\to D^0{\bar{D}}^0$ via $D->K_S^0{\pi }^0$
• Search for $h_c\to {\pi }^{+}{\pi }^{-}J/\psi$ via $\psi (3686)\to {\pi }^0{h}_c$
• Search for the Cabibbo-suppressed decays ${\Lambda }_c^{+}\to {\Sigma }^0{K}^{+}{\pi }^0$ and ${\Lambda }_c^{+}\to {\Sigma }^0{K}^{+}{\pi }^{+}{\pi }^{-}$
• Measurements of the branching fractions of the $P$-wave charmonium spin-singlet state $h_c{(}^1{P}_1)\to h^{+}{h}^{-}{\pi }^0/\eta$
• Observation of ${\Lambda }_c^{+}\to n{\pi }^{+}\eta$ and search for ${\Lambda }_c^{+}\to n{a}_0(980{)}^{+}$
• Search for the radiative leptonic decay $D^{+}\to \gamma e^{+}{\nu }_e$ using Deep Learning
• Search for the lepton number violating process ${\Xi }^{-}\to {\Sigma }^{+}{e}^{-}{e}^{-}+c.c.$