BLUE: combining correlated estimates of physics observables within ROOT using the Best Linear Unbiased Estimate method

Abstract

This software performs the combination of $m$ correlated estimates of $n$ physics observables ($m\ge n$) using the Best Linear Unbiased Estimate (BLUE) method. It is implemented as a C++ class, to be used within the ROOT analysis package. It features easy disabling of specific estimates or uncertainty sources, the investigation of different correlation assumptions, and allows performing combinations according to the importance of the estimates. This enables systematic investigations of the combination on details of the measurements from within the software, without touching the input.

arXiv comment16 pages, 6 figures, 2 listings, Version accepted by SoftwareX

References in corpus (5)

• Measurement of the top quark mass in the $t\bar{t}\to$ lepton+jets channel from $\sqrt{s}=8$ TeV ATLAS data and combination with previous results
• On the combination of correlated estimates of a physics observable
• Neutral pion and $\eta$ meson production in p-Pb collisions at $\sqrt{{\mathbf{s}}_{\mathrm{NN}}}=5.02$ TeV
• Upsilon production in U+U collisions at 193 GeV with the STAR experiment
• Measurement of $\varphi$-meson production at forward rapidity in $p$$+$$p$ collisions at $\sqrt{s}$=510 GeV and energy dependence of ${\sigma }_{\varphi }$ from $\sqrt{s}$=200 GeV to 7 TeV

Cited by in corpus (14)

• Measurement of the $CP$-violating phase ${\varphi }_{\mathrm{s}}$ in the B${}_{\mathrm{s}}^0$ $\to$ J$/\psi \varphi$(1020) $\to$ ${\mu }^{+}{\mu }^{-}$K${}^{+}$K${}^{-}$ channel in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Observation of the doubly charmed baryon decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{{}^{\prime }+}{\pi }^{+}$
• Search for time-dependent $CP$ violation in $D^0\to K^{+}{K}^{-}$ and $D^0\to {\pi }^{+}{\pi }^{-}$ decays
• Combination of measurements of the top quark mass from data collected by the ATLAS and CMS experiments at $\sqrt{s}$ = 7 and 8 TeV
• $m_b$ at $m_H$: the running bottom quark mass and the Higgs boson
• Measurement of the branching fractions of the singly Cabibbo-suppressed decays ${\Lambda }_c^{+}\to p\eta$ and ${\Lambda }_c^{+}\to p\omega$
• Combination of inclusive top-quark pair production cross-section measurements using ATLAS and CMS data at $\sqrt{s}=7$ and 8 TeV
• Observation of the doubly-charmed-baryon decay ${\Xi }_{cc}^{++}\to {\Xi }_c^0{\pi }^{+}{\pi }^{+}$
• Observation of the ${\Xi }_{\mathrm{b}}^{-}$ $\to$ $\psi$(2S)${\Xi }^{-}$ decay and studies of the ${\Xi }_{\mathrm{b}}$(5945)${}^0$ baryon in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Measurement of the ${\Omega }_c^0$ and ${\Xi }_c^0$ baryon lifetimes using hadronic $b$-baryon decays
• First evidence of $CP$ violation in beauty baryon to charmonium decays
• Observation of the decay ${\chi }_{c1}(3872)\to J/\psi {\mu }^{+}{\mu }^{-}$
• Branching fraction measurement of the decay $B^{+}\to \psi (2S)\varphi (1020)K^{+}$
• Precision measurement of the ${\Xi }_b^0$ baryon lifetime