Kernel density estimation of a multidimensional efficiency profile

Abstract

Kernel density estimation is a convenient way to estimate the probability density of a distribution given the sample of data points. However, it has certain drawbacks: proper description of the density using narrow kernels needs large data samples, whereas if the kernel width is large, boundaries and narrow structures tend to be smeared. Here, an approach to correct for such effects, is proposed that uses an approximate density to describe narrow structures and boundaries. The approach is shown to be well suited for the description of the efficiency shape over a multidimensional phase space in a typical particle physics analysis. An example is given for the five-dimensional phase space of the ${\Lambda }_b^0\to D^{0}p\pi$ decay.

16 pages, 5 figures, to be submitted to JINST

References in corpus (1)

• Studies of beauty baryon decays to $D^{0}p{h}^{-}$ and ${\Lambda }_c^{+}{h}^{-}$ final states

Cited by in corpus (35)

• Evidence for neutrino emission from the nearby active galaxy NGC 1068
• GetDist: a Python package for analysing Monte Carlo samples
• Amplitude analysis of the $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decay
• Model-independent study of structure in $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decays
• Selection and processing of calibration samples to measure the particle identification performance of the LHCb experiment in Run 2
• Measurements of prompt charm production cross-sections in $pp$ collisions at $\sqrt{s}=13\mathrm{TeV}$
• Study of the $D^{0}p$ amplitude in ${\Lambda }_b^0\to D^{0}p{\pi }^{-}$ decays
• First observation of a doubly charged tetraquark and its neutral partner
• Amplitude analysis of $B^0\to {\overline{D}}^0{D}_s^{+}{\pi }^{-}$ and $B^{+}\to D^{-}{D}_s^{+}{\pi }^{+}$ decays
• Amplitude analysis of the ${\Lambda }_c^{+}\to p{K}^{-}{\pi }^{+}$ decay and ${\Lambda }_c^{+}$ baryon polarization measurement in semileptonic beauty hadron decays
• Probing the nature of the ${\chi }_{c1}(3872)$ state using radiative decays
• EasyScan_HEP: a tool for connecting programs to scan the parameter space of physics models
• Evidence for Neutrino Emission from X-Ray-bright Active Galactic Nuclei with IceCube
• Observation of the suppressed ${\Lambda }_b^0\to Dp{K}^{-}$ decay with $D\to K^{+}{\pi }^{-}$ and measurement of its $CP$ asymmetry
• Observation of the $B_c^{+}\to J/\psi {\pi }^{+}{\pi }^0$ decay
• First observation of the $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$ decay
• Study of $D_{s1}(2460{)}^{+}\to D_s^{+}{\pi }^{+}{\pi }^{-}$ in $B\to {\bar{D}}^{(\ast )}{D}_s^{+}{\pi }^{+}{\pi }^{-}$ decays
• Measurement of branching fraction ratios for $B^{+}\to D^{\ast +}{D}^{-}{K}^{+}$, $B^{+}\to D^{\ast -}{D}^{+}{K}^{+}$, and $B^0\to D^{\ast -}{D}^0{K}^{+}$ decays
• First observation of the decay $B^0\to D^0\overline{D}{}^0{K}^{+}{\pi }^{-}$
• Observation of the charmonium decay ${\eta }_c\to \gamma \gamma$ in $J/\psi \to \gamma {\eta }_c$
• First observation of ${\Lambda }_b^0\to {\Sigma }_c^{(\ast )++}{D}^{(\ast )-}{K}^{-}$ decays
• Observation of Cabibbo-Suppressed Two-Body Hadronic Decays and Precision Mass Measurement of the ${\Omega }_c^0$ Baryon
• Observation of the $B_s^0\to D^{\ast \pm }{D}^{\mp }$ decay
• Observation of the decay ${\Lambda }_b^0\to {\chi }_{c1}p{\pi }^{-}$
• Observation of ${\Lambda }_b^0\to {\Lambda }_c^{+}{\bar{D}}^{(\ast )0}{K}^{-}$ and ${\Lambda }_b^0\to {\Lambda }_c^{+}{D}_s^{\ast -}$ decays
• Observation of the $B^{+}\to J/\psi {\eta }^{\prime }{K}^{+}$ decay
• Study of $B_c^{+}\to {\chi }_c{\pi }^{+}$ decays
• Angular analysis of $B^0\to K^{\ast 0}{e}^{+}{e}^{-}$ decays
• Amplitude analysis and branching fraction measurement of $B^{+}\to D^{\ast -}{D}_s^{+}{\pi }^{+}$ decays
• Search for the FCNC charmonium decay $J/\psi \to D^0{\mu }^{+}{\mu }^{-}+\text{c.c.}$
• Amplitude analysis of the ${\Xi }_c^{+}\to p{K}^{-}{\pi }^{+}$ decay and ${\Xi }_c^{+}$ baryon polarization measurement in semileptonic beauty-hadron decays
• Search for the $B_c^{+}\to {\chi }_{c1}(3872){\pi }^{+}$ decay
• Analysis of ${\Lambda }_b^0\to p{K}^{-}{\mu }^{+}{\mu }^{-}$ decays
• Precision measurement of the ${\Xi }_b^{-}$ baryon lifetime
• Precision measurement of the ${\Xi }_b^0$ baryon lifetime