$\Gamma _{{{\mathit B}_{{d}}^{0}}}$ and $\Delta \Gamma _{{{\mathit B}_{{d}}^{0}}}$ are the decay rate average and difference between two ${{\mathit B}_{{d}}^{0}}$ $\mathit CP$ eigenstates (light $−$ heavy). The $\lambda _{CP}$ characterizes ${{\mathit B}^{0}}$ and ${{\overline{\mathit B}}^{0}}$ decays to states of charmonium plus ${{\mathit K}_L^0}$ , see the review on “$\mathit CP$ Violation” in the reviews section.

“OUR EVALUATION” has been obtained by the Heavy Flavor Averaging Group (HFLAV) by taking into account correlations between measurements.

VALUE ($ 10^{-2} $) CL% DOCUMENT ID TECN  COMMENT $\bf{ 0.1 \pm1.0}$ OUR EVALUATION $\bf{ 0.1 \pm1.0}$ OUR AVERAGE $3.4$ $\pm2.3$ $\pm2.4$ 1 SIRUNYAN 2018 BY CMS ${{\mathit p}}{{\mathit p}}$ at 8 TeV $-0.1$ $\pm1.1$ $\pm0.9$ 2 AABOUD 2016 G ATLS ${{\mathit p}}{{\mathit p}}$ at 7, 8 TeV $-4.4$ $\pm2.5$ $\pm1.1$ 3 AAIJ 2014 E LHCB ${{\mathit p}}{{\mathit p}}$ at 7 TeV $1.7$ $\pm1.8$ $\pm1.1$ 4 HIGUCHI 2012 BELL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$ $0.8$ $\pm3.7$ $\pm1.8$ 5 AUBERT,B 2004 C BABR ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$ $0$ $\pm9$ 6 ABDALLAH 2003 B DLPH ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit Z}}$ • • We do not use the following data for averages, fits, limits, etc. • • $0.50$ $\pm1.38$ ABAZOV 2014 D0 ${{\mathit p}}{{\overline{\mathit p}}}$ at 1.96 TeV $<80$ 95 7 BEHRENS 2000 B CLE2 ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$ 1  Measured using ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}^{*}{(892)}^{0}}$ and ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}_S^0}$ decays, and assuming $\beta $ = $21.9$ $\pm0.7$ degrees. 2  Measured from the ratio of decay time distributions of ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}_S^0}$ and ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}^{*0}}$ decays. 3  Measured using the effective lifetimes of ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}_S^0}$ and ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}^{*0}}$ decays. 4  Reports $−\Delta {{\mathit \Gamma}_{{d}}}/{{\mathit \Gamma}_{{d}}}$ using ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}_S^0}$ , ${{\mathit J / \psi}}{{\mathit K}_L^0}$ , ${{\mathit D}^{-}}{{\mathit \pi}^{+}}$ , ${{\mathit D}^{*-}}{{\mathit \pi}^{+}}$ , ${{\mathit D}^{*-}}{{\mathit \rho}^{+}}$ , and ${{\mathit D}^{*-}}{{\mathit \ell}^{+}}{{\mathit \nu}}$ decays. 5  Corresponds to 90$\%$ confidence range [$−$0.084, 0.068]. 6  Used the measured $\tau _{{{\mathit B}^{0}}}$ = $1.55$ $\pm0.03~$ps. Corresponds to an upper limit of $<$ 0.18 at 95$\%$ C.L. 7  BEHRENS 2000B uses high-momentum lepton tags and partially reconstructed ${{\overline{\mathit B}}^{0}}$ $\rightarrow$ ${{\mathit D}^{*+}}{{\mathit \pi}^{-}}$ , ${{\mathit \rho}^{-}}$ decays to determine the flavor of the ${{\mathit B}}~$meson. Assumes $\Delta _{ }=0.478$ $\pm0.018~$ps${}^{-1}$ and $\tau _{{{\mathit B}^{0}}}=1.548$ $\pm0.032~$ps.

References:

SIRUNYAN 2018BY EPJ C78 457 Measurement of b hadron lifetimes in pp collisions at $\sqrt{s} =$ 8 TeV AABOUD 2016G JHEP 1606 081 Measurement of the Relative width Difference of the ${{\mathit B}^{0}}−{{\overline{\mathit B}}^{0}}$ System with the ATLAS Detector AAIJ 2014E JHEP 1404 114 Measurements of the ${{\mathit B}^{+}},{{\mathit B}^{0}},{{\mathit B}_{{s}}^{0}}$ Meson and ${{\mathit \Lambda}_{{b}}^{0}}$ Baryon Lifetimes ABAZOV 2014 PR D89 012002 Study of $\mathit CP$-Violating Charge Asymmetries of Single Muons and Like-Sign Dimuons in ${{\mathit p}}{{\overline{\mathit p}}}$ Collisions HIGUCHI 2012 PR D85 071105 Search for Time-Dependent $\mathit CPT$ Violation in Hadronic and Semileptonic ${{\mathit B}}$ Decays AUBERT,B 2004C PR D70 012007 Limits on the Decay Rate Difference of Neutral ${{\mathit B}}$ Mesons and on $\mathit CP$, $\mathit T$, and $\mathit CPT$ Violation in ${{\mathit B}^{0}}\leftrightarrow{{\overline{\mathit B}}^{0}}$ Oscillations Also PRL 92 181801 Limits on the Decay Rate Difference of Neutral ${{\mathit B}}$ Mesons and on $\mathit CP$, $\mathit T$, and $\mathit CPT$ Violation in ${{\mathit B}^{0}}{{\overline{\mathit B}}^{0}}$ Oscillations ABDALLAH 2003B EPJ C28 155 Search for ${{\mathit B}_{{s}}^{0}}\leftrightarrow{{\overline{\mathit B}}_{{s}}^{0}}$ Oscillations and a Measurement of ${{\mathit B}_{{d}}^{0}}\leftrightarrow{{\overline{\mathit B}}_{{d}}^{0}}$ Oscillations using Events with an Inclusively Reconstructed Vertex BEHRENS 2000B PL B490 36 Precise Measurement of ${{\mathit B}^{0}}$ $\leftrightarrow$ ${{\overline{\mathit B}}^{0}}$ Mixing Parameters at the ${{\mathit \Upsilon}{(4S)}}$