$-2\beta _{s}$ is the weak phase difference between ${{\mathit B}^{0}_{s}}$ mixing amplitude and the ${{\mathit B}^{0}_{s}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ decay amplitude driven by the ${{\mathit b}}$ $\rightarrow$ ${{\mathit c}}{{\overline{\mathit c}}}{{\mathit s}}$ transition (such as ${{\mathit B}_{{s}}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ , ${{\mathit J / \psi}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ , ${{\mathit J / \psi}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ , and ${{\mathit D}_{{s}}^{+}}{{\mathit D}_{{s}}^{-}}$ ). The Standard Model value of $\beta _{s}$ is arg($−$ ${V_{ts} V{}^{*}_{tb}\over V_{cs} V{}^{*}_{cb} }~$) if penguin contributions are neglected.

“OUR EVALUATION” is an average using rescaled values of the data listed below. The average and rescaling were performed by the Heavy Flavor Averaging Group (HFLAV, https://hflav.web.cern.ch/) and are described at https://hflav.web.cern.ch/. The averaging/scaling procedure takes into account correlation between the measurements.

VALUE ($ 10^{-2} $ rad) DOCUMENT ID TECN  COMMENT $\bf{ 2.5 \pm1.0}$ OUR EVALUATION $\bf{ 2.3 \pm1.0}$ OUR AVERAGE $4.35$ $\pm1.80$ $\pm1.05$ 1 AAD 2021 AE ATLS ${{\mathit p}}{{\mathit p}}$ at 7, 8, 13 TeV $0$ $\pm14$ $\pm4$ 2 AAIJ 2021 AN LHCB ${{\mathit p}}{{\mathit p}}$ at 7, 8 TeV $1.05$ $\pm2.20$ $\pm0.50$ 3 SIRUNYAN 2021 E CMS ${{\mathit p}}{{\mathit p}}$ at 8, 13 TeV $-0.1$ $\pm2.2$ $\pm0.6$ 4 AAIJ 2019 AF LHCB ${{\mathit p}}{{\mathit p}}$ at 7, 8, 13 TeV $4.15$ $\pm2.05$ $\pm0.3$ 5 AAIJ 2019 Q LHCB ${{\mathit p}}{{\mathit p}}$ at 13 TeV $-5.95$ $\pm5.35$ $\pm1.7$ 6 AAIJ 2017 V LHCB ${{\mathit p}}{{\mathit p}}$ at 7, 8 TeV $-11.5$ ${}^{+14}_{-14.5}$ $\pm1$ 7 AAIJ 2016 AK LHCB ${{\mathit p}}{{\mathit p}}$ at 7, 8 TeV $2.9$ $\pm2.5$ $\pm0.3$ 8 AAIJ 2015 I LHCB ${{\mathit p}}{{\mathit p}}$ at 7, 8 TeV $-1$ $\pm9$ $\pm1$ 9 AAIJ 2014 AY LHCB ${{\mathit p}}{{\mathit p}}$ at 7, 8 TeV 10 AALTONEN 2012 AJ CDF ${{\mathit p}}{{\overline{\mathit p}}}$ at 1.96 TeV $27.5$ ${}^{+18}_{-19}$ 11 ABAZOV 2012 D D0 ${{\mathit p}}{{\overline{\mathit p}}}$ at 1.96 TeV • • We do not use the following data for averages, fits, limits, etc. • • $3.7$ $\pm5.8$ $\pm1.4$ 12, 13 AAIJ 2019 AP LHCB ${{\mathit p}}{{\mathit p}}$ at 7, 8, 13 TeV $5$ $\pm6.5$ $\pm7$ 14 AAIJ 2018 S LHCB ${{\mathit p}}{{\mathit p}}$ at 7, 8 TeV $4.5$ $\pm3.9$ $\pm2.1$ 15 AAD 2016 AP ATLS Repl. by AAD 2021AE $3.75$ $\pm4.85$ $\pm1.55$ 16 KHACHATRYAN 2016 S CMS Repl. by SIRUNYAN 2021E $6$ ${}^{+8}_{-7}$ 17, 18 AAIJ 2015 K LHCB ${{\mathit p}}{{\mathit p}}$ at 7, 8 TeV $-6$ $\pm13$ $\pm3$ 19 AAD 2014 U ATLS Repl. by AAD 2021AE $8.5$ $\pm7.5$ $\pm1.5$ 20 AAIJ 2014 AE LHCB Repl. by AAIJ 2019AP $-3.5$ $\pm3.4$ $\pm0.4$ 21 AAIJ 2014 S LHCB Repl. by AAIJ 2019AF $-0.5$ $\pm3.5$ $\pm0.5$ 22 AAIJ 2013 AR LHCB Repl. by AAIJ 2015I 23 AAIJ 2013 AY LHCB ${{\mathit p}}{{\mathit p}}$ at 7 TeV $-11$ $\pm20.5$ $\pm5$ 24 AAD 2012 CV ATLS Repl. by AAD 2014U $22$ $\pm22$ $\pm1$ 25 AAIJ 2012 B LHCB Repl. by AAIJ 2012Q $-7.5$ $\pm9$ $\pm3$ 26 AAIJ 2012 D LHCB Repl. by AAIJ 2013AR $0.95$ ${}^{+8.7}_{-8.65}$ ${}^{+0.15}_{-0.2}$ 27 AAIJ 2012 Q LHCB Repl. by AAIJ 2013AR 28 AALTONEN 2012 D CDF Repl. by AALTONEN 2012AJ 29 AALTONEN 2008 G CDF Repl. by AALTONEN 2012D $28$ ${}^{+12}_{-15}$ ${}^{+4}_{-1}$ 11, 30 ABAZOV 2008 AM D0 Repl. by ABAZOV 2012D $39.5$ $\pm28.0$ ${}^{+0.5}_{-7.0}$ 31, 32 ABAZOV 2007 D0 Repl. by ABAZOV 2007N $35$ ${}^{+20}_{-24}$ 32, 33 ABAZOV 2007 N D0 Repl. by ABAZOV 2008AM 1  AAD 2021AE measured ${{\mathit \phi}_{{s}}}$ = $-2$ ${{\mathit \beta}_{{s}}}$ = $-0.087$ $\pm0.036$ $\pm0.021$ rad. using a time-dependent angular analysis of ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ decays. 2  AAIJ 2021AN measured ${{\mathit \phi}_{{s}}}$ = $-2{{\mathit \beta}_{{s}}}$ = $0.00$ $\pm0.28$ $\pm0.07$ rad, using a time-dependent angular analysis of ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ decays with ${{\mathit J / \psi}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$ . 3  SIRUNYAN 2021E measured $\phi _{s}$ = $-2$ ${{\mathit \beta}_{{s}}}$ = $-0.021$ $\pm0.044$ $\pm0.010$ rad. using a time-dependent angular analysis of ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ decays. 4  AAIJ 2019AF reports ${{\mathit \phi}_{{s}}}$ = $-2$ ${{\mathit \beta}_{{s}}}$ = $0.002$ $\pm0.044$ $\pm0.012$ rad. and $\vert \lambda \vert $= $0.949$ $\pm0.036$ $\pm0.019$, when direct $\mathit CP$ violation is allowed. Measured using a time-dependent fit to ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ decays, which is sensitive to ${{\mathit \phi}_{{s}}}$( ${{\mathit s}}{{\overline{\mathit s}}}{{\mathit s}}$ ), not ${{\mathit \phi}_{{s}}}$( ${{\mathit c}}{{\overline{\mathit c}}}{{\mathit s}}$ ). 5  AAIJ 2019Q reports ${{\mathit \phi}_{{s}}}$ = $-2$ ${{\mathit \beta}_{{s}}}$ = $-0.083$ $\pm0.041$ $\pm0.006$ rad. that was measured using a time-dependent angular analysis of ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ decays. 6  Measured ${{\mathit \phi}_{{s}}}$ = $-2$ ${{\mathit \beta}_{{s}}}$ = $0.119$ $\pm0.107$ $\pm0.034$ rad using time-dependent angular analysis of ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ in the region m( ${{\mathit K}}{{\mathit K}}$ ) $>$ 1.05 GeV. 7  AAIJ 2016AK reports ${{\mathit \phi}_{{s}}}$ = $-2$ ${{\mathit \beta}_{{s}}}$ = $0.23$ ${}^{+0.29}_{-0.28}$ $\pm0.02$ rad. that was measured using a time-dependent angular analysis of ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit \psi}{(2S)}}{{\mathit \phi}}$ decays. 8  AAIJ 2015I reports $\phi _{s}$ = $-2$ ${{\mathit \beta}_{{s}}}$ = $-0.058$ $\pm0.049$ $\pm0.006$ rad. that was measured using a time-dependent angular analysis of ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ decays. It also combines this result with that of AAIJ 2014S and quotes $\phi _{s}$ = $-2$ ${{\mathit \beta}_{{s}}}$ = $-0.010$ $\pm0.039$ rad. 9  AAIJ 2014AY reports ${{\mathit \phi}_{{s}}}$ = $-2$ ${{\mathit \beta}_{{s}}}$ = $0.02$ $\pm0.17$ $\pm0.02$ rad. in a time-dependent fit to ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit D}_{{s}}^{+}}{{\mathit D}_{{s}}^{-}}$ , while allowing $\mathit CP$ violation in decay. 10  AALTONEN 2012AJ reports $−{{\mathit \pi}}$/2 $<{{\mathit \beta}_{{s}}}<-1.51$ or $-0.06<{{\mathit \beta}_{{s}}}<$ 0.30, or 1.26 $<{{\mathit \beta}_{{s}}}<{{\mathit \pi}}$/2 rad. at 68$\%$ CL. Measured using the time-dependent angular analysis of ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ decays. 11  ABAZOV 2012D reports ${{\mathit \phi}_{{s}}}$ = $-2$ ${{\mathit \beta}_{{s}}}$ = $-0.55$ ${}^{+0.38}_{-0.36}$ rad. that was measured using a time-dependent angular analysis of ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ decays. A single error includes both statistical and systematic uncertainties. 12  AAIJ 2019AP reports ${{\mathit \phi}}{}^{ {{\mathit s}} {{\overline{\mathit s}}} {{\mathit s}} }_{s}$ = $-0.073$ $\pm0.115$ $\pm0.027$ rad and $\vert \lambda \vert $= $0.99$ $\pm0.05$ $\pm0.01$. Measured using a time-dependent fit to ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit \phi}}$ decays, assuming independence of the helicity of the ${{\mathit \phi}}{{\mathit \phi}}$ decay. 13  AAIJ 2019AP reports also polarisation-dependent results assuming that the longitudinal weak phase is CP-conserving and that there is no direct CP violation, giving $\phi_{s,\parallel} = 0.014 \pm 0.055 \pm 0.011$ rad and $\phi_{s,\perp} = 0.044 \pm 0.059 \pm 0.019$ rad. 14  AAIJ 2018S reports ${{\mathit \phi}_{{s}}}$ = $-2$ ${{\mathit \beta}_{{s}}}$ = $-0.10$ $\pm0.13$ $\pm0.14$ rad measured in ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ( ${{\mathit K}^{+}}{{\mathit \pi}^{-}}$) ( ${{\mathit K}^{-}}{{\mathit \pi}^{+}}$) in the region 0.75 $<$ m( ${{\mathit K}^{\pm}}{{\mathit \pi}^{\mp}}$ ) $<$ 1.6 GeV. This is a ${{\mathit b}}$ $\rightarrow$ ${{\mathit d}}{{\overline{\mathit d}}}{{\mathit s}}$ transition with a decay amplitude phase different from that of ${{\mathit b}}$ $\rightarrow$ ${{\mathit c}}{{\overline{\mathit c}}}{{\mathit s}}$ transition. 15  AAD 2016AP reports $\phi _{s}$ = $-2$ ${{\mathit \beta}_{{s}}}$ = $-0.090$ $\pm0.078$ $\pm0.041$ rad. that was measured using a time-dependent angular analysis of ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ decays. 16  KHACHATRYAN 2016S reports $\phi _{s}$ = $-2$ ${{\mathit \beta}_{{s}}}$ = $-0.075$ $\pm0.097$ $\pm0.031$ rad. that was measured using a time-dependent angular analysis of ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ decays. 17  AAIJ 2015K reports $-2{{\mathit \beta}_{{s}}}$ = $-0.12$ ${}^{+0.14}_{-0.16}$ rad. The value was obtained by measuring time-dependent $\mathit CP$ asymmetry in ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ and using a U-spin relation between ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ and ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ . 18  Results are also presented using additional inputs on ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ and ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$ decays from other experiments and isospin symmetry assumptions. The dependence of the results on the maximum allowed amount of U-spin breaking up to 50$\%$ is also included. 19  AAD 2014U reports $\phi _{s}$ = $-2$ ${{\mathit \beta}_{{s}}}$ = $0.12$ $\pm0.25$ $\pm0.05$ rad. that was measured using a time-dependent angular analysis of ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ decays. 20  AAIJ 2014AE value measured in ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit \phi}}$ decays.This is a ${{\mathit b}}$ $\rightarrow$ ${{\mathit s}}{{\overline{\mathit s}}}{{\mathit s}}$ transition with a decay amplitude phase different from that of ${{\mathit b}}$ $\rightarrow$ ${{\mathit c}}{{\overline{\mathit c}}}{{\mathit s}}$ transition. Also reports ${{\mathit \phi}_{{s}}}$ = $-0.17$ $\pm0.15$ $\pm0.03$ rad. 21  AAIJ 2014S reports ${{\mathit \phi}_{{s}}}$ = $-2$ ${{\mathit \beta}_{{s}}}$ = $0.070$ $\pm0.068$ $\pm0.008$ rad. and $\vert \lambda \vert $= $0.89$ $\pm0.05$ $\pm0.01$, when direct $\mathit CP$ violation is allowed. Measured using a time-dependent fit to ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ decays. 22  AAIJ 2013AR reports ${{\mathit \phi}_{{s}}}$ = $-2{{\mathit \beta}_{{s}}}$ = $0.01$ $\pm0.07$ $\pm0.01$ rad. obtained from combined fit to ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ and ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ data sets. Also reports separate results of ${{\mathit \phi}_{{s}}}$ = $0.07$ $\pm0.09$ $\pm0.01$ rad. from ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ decays and ${{\mathit \phi}_{{s}}}$ = $-0.14$ ${}^{+0.17}_{-0.16}$ $\pm0.01$ rad. from ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ decays. 23  AAIJ 2013AY uses ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit \phi}}$ mode, and reports the 68$\%$ CL interval of ${{\mathit \phi}_{{s}}}$ = $-2$ ${{\mathit \beta}_{{s}}}$ as [$-2.46$, $-0.76$] rad. 24  AAD 2012CV reports $\phi _{s}$ = $-2$ ${{\mathit \beta}_{{s}}}$ = $0.22$ $\pm0.41$ $\pm0.10$ rad. that was measured using a time-dependent angular analysis of ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ decays. 25  Reports ${{\mathit \phi}_{{s}}}$ = $-2$ ${{\mathit \beta}_{{s}}}$ = $-0.44$ $\pm0.44$ $\pm0.02$ rad. that was measured using a time-dependent fit to ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit f}_{{0}}{(980)}}$ decays. 26  Reports ${{\mathit \phi}_{{s}}}$ = $-2$ ${{\mathit \beta}_{{s}}}$ = $0.15$ $\pm0.18$ $\pm0.06$ rad. that was measured using a time-dependent angular analysis of ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ decays. 27  Reports ${{\mathit \phi}_{{s}}}$ = $-2$ ${{\mathit \beta}_{{s}}}$ = $-0.019$ ${}^{+0.173}_{-0.174}{}^{+0.004}_{-0.003}$ rad. which was measured using a time-dependent fit to ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ decays, with the ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ mass within $775 - 1550$ MeV. Searches for, but finds no evidence, for direct $\mathit CP$ violation in ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \pi}}{{\mathit \pi}}$ decays. 28  Reports 0.02 $<$ ${{\mathit \phi}_{{s}}}<$ 0.52 or 1.08 $<$ ${{\mathit \phi}_{{s}}}<$ 1.55 rad. at 68$\%$ C.L. confidence regions in the two-dimensional space of ${{\mathit \phi}_{{s}}}$ and $\Delta {\Gamma}_{{\mathit B}_{{s}}^{0}}$ from ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ decays. 29  Reports 0.32 $<$ 2${{\mathit \beta}_{{s}}}<$ 2.82 rad. at 68$\%$ C.L. and confidence regions in the two-dimensional space of 2${{\mathit \beta}_{{s}}}$ and $\Delta \Gamma $ from the first measurement of ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ decays using flavor tagging. The probability of a deviation from SM prediction as large as the level of observed data is 15$\%$. 30  Reports $\phi _{s}$ = $-2$ $\beta _{s}$ and obtains 90$\%$ CL interval $-0.03$ $<$ $\beta _{s}$ $<$ 0.60 rad. 31  The first direct measurement of the $\mathit CP$-violating mixing phase is reported from the time-dependent analysis of flavor untagged ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ decays. 32  Reports ${{\mathit \phi}_{{s}}}$ which equals to $-2{{\mathit \beta}_{{s}}}$. 33  Combines D0 collaboration measurements of time-dependent angular distributions in ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ and charge asymmetry in semileptonic decays. There is a 4-fold ambiguity in the solution.

Conservation Laws:

$\mathit CP$ INVARIANCE

References:

AAD 2021AE EPJ C81 342 Measurement of the $CP$-violating phase $\phi_s$ in $B^0_s \to J/\psi\phi$ decays in ATLAS at 13 TeV AAIJ 2021AN EPJ C81 1026 First measurement of the $C\!P$-violating phase in ${{B} ^0_{s}} \!\rightarrow {{J /\psi }} (\rightarrow e ^+e ^-$)$\phi $ decays SIRUNYAN 2021E PL B816 136188 Measurement of the $CP$-violating phase $\phi_\mathrm{s}$ in the B$^0_\mathrm{s}\to$ J$/\psi\, \phi$(1020) $\to \mu^+\mu^-$K$^+$K$^-$ channel in proton-proton collisions at $\sqrt{s} =$ 13 TeV AAIJ 2019Q EPJ C79 706 Updated measurement of time-dependent {\it CP}-violating observables in $B^{0}_{s}\to J/\psi K^+ K^-$ decays Also EPJ C80 601 (errat.) Updated measurement of time-dependent {\\it CP}-violating observables in $B^{0}_{s}\\to J/\\psi K^+ K^-$ decays AAIJ 2019AP JHEP 1912 155 Measurement of CP violation in the $ {B}_s^0\to \phi \phi $ decay and search for the $B^0\rightarrow \phi\phi$ decay AAIJ 2019AF PL B797 134789 Measurement of the $CP$-violating phase $\phi_s$ from $B_{s}^{0}\to J/\psi\pi^+\pi^-$ decays in 13 TeV $pp$ collisions AAIJ 2018S JHEP 1803 140 First measurement of the $CP$-violating phase $\phi_s^{d\overline{d}}$ in $B_s^0\to(K^+\pi^-)(K^-\pi^+)$ decays AAIJ 2017V JHEP 1708 037 Resonances and $\mathit CP$ Violation in ${{\mathit B}_{{s}}^{0}}$ and Decays in the Mass Region above the ${{\mathit \phi}{(1020)}}$ AAD 2016AP JHEP 1608 147 M ${{\mathit \phi}_{{s}}}$ and the ${{\mathit B}_{{s}}^{0}}$ Meson Decay width Difference with ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ Decays in ATLAS AAIJ 2016AK PL B762 253 First Study of the $\mathit CP$ -Violating Phase and Decay-Width Difference in ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit \psi}{(2S)}}{{\mathit \phi}}$ Decays KHACHATRYAN 2016S PL B757 97 Measurement of the $\mathit CP$-Violating Weak Phase $\phi _{s}$ and the Decay width Difference $\Delta \Gamma _{s}$ using the ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}{(1020)}}$ Decay Channel in ${{\mathit p}}{{\mathit p}}$ Collisions at $\sqrt {s }$ = 8 TeV AAIJ 2015K PL B741 1 Determination of ${{\mathit \gamma}}$ and $−2{{\mathit \beta}_{{s}}}$ from Charmless Two-Body Decays of Beauty Mesons AAIJ 2015I PRL 114 041801 Precision Measurement of $\mathit CP$ Violation in ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ Decays AAD 2014U PR D90 052007 Flavor Tagged Time-Dependent Angular Analysis of the ${{\mathit B}_{{s}}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ Decay and Extraction of $\Delta \Gamma $s and the Weak Phase ${{\mathit \phi}_{{s}}}$ in ATLAS AAIJ 2014AY PRL 113 211801 Measurement of the $\mathit CP$-Violating Phase ${{\mathit \phi}_{{s}}}$ in ${{\overline{\mathit B}}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit D}_{{s}}^{+}}{{\mathit D}_{{s}}^{-}}$ Decays AAIJ 2014AE PR D90 052011 Measurement of $\mathit CP$ Violation in ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit \phi}}$ Decays AAIJ 2014S PL B736 186 Measurement of the -Violating Phase ${{\mathit \phi}_{{s}}}$ in ${{\overline{\mathit B}}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Decays AAIJ 2013AY PRL 110 241802 First Measurement of the $\mathit CP$-Violating Phase in ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit \phi}}{{\mathit \phi}}$ Decays AAIJ 2013AR PR D87 112010 Measurement of $\mathit CP$ Violation and the ${{\mathit B}_{{s}}^{0}}$ Meson Decay width Difference with ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ and ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Decays AAD 2012CV JHEP 1212 072 Time-Dependent Angular Analysis of the Decay ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ and Extraction of $\Delta \Gamma _{s}$ and the $\mathit CP$-Violating Weak Phase ${{\mathit \phi}_{{s}}}$ by ATLAS AAIJ 2012Q PL B713 378 Measurement of the $\mathit CP$-Violating Phase ${{\mathit \phi}_{{s}}}$ in ${{\overline{\mathit B}}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Decays AAIJ 2012B PL B707 497 Measurement of the $\mathit CP$ Violating Phase ${{\mathit \phi}}\mathit s$ in ${{\overline{\mathit B}}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit f}_{{0}}{(980)}}$ AAIJ 2012D PRL 108 101803 Measurement of the CP-Violating Phase ${{\mathit \phi}_{{s}}}$ in the Decay ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ AALTONEN 2012D PR D85 072002 Measurement of the $\mathit CP$-Violating Phase $\mathit \beta {}^{{{\mathit J / \psi}}{{\mathit \phi}}}_{s}$ in ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ Decays with the CDF II Detector AALTONEN 2012AJ PRL 109 171802 Measurement of the Bottom-Strange Meson Mixing Phase in the Full CDF Data Set ABAZOV 2012D PR D85 032006 Measurement of the $\mathit CP$-Violating Phase ${{\mathit \phi}}{}^{{{\mathit J / \psi}}{{\mathit \phi}}}_{s}$ using the Flavor-Tagged Decay ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ in 8$~{\mathrm {fb}}{}^{-1}$ of ${{\mathit p}}{{\overline{\mathit p}}}$ Collisions AALTONEN 2008G PRL 100 161802 First Flavor-Tagged Determination of Bounds on Mixing-Induced $\mathit CP$ Violation in ${{\mathit B}_{{s}}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ Decays ABAZOV 2008AM PRL 101 241801 Measurement of ${{\mathit B}_{{s}}^{0}}$ Mixing Parameters from the Flavor-Tagged Decay ${{\mathit B}_{{s}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$ ABAZOV 2007 PRL 98 121801 Lifetime Difference and $\mathit CP$-Violating Phase in the ${{\mathit B}_{{s}}^{0}}$ System ABAZOV 2007N PR D76 057101 Combined ${D0}$ Measurements Constraining the $\mathit CP$-Violating Phase and width Difference in the ${{\mathit B}_{{s}}^{0}}$ System