Using the latest LHCb measurements of timedependent CP violation in the B^0_s > K^+K^ decay, a Uspin relation between the decay amplitudes of B^0_s > K^+K^ and B^0 > \pi^+\pi^ decay processes allows constraints to be placed on the angle gamma of the unitarity triangle and on the B^0_s mixing phase 2\beta_s. Results from an extended approach, which uses additional inputs on B^0 > \pi^0\pi^0 and B^+ > \pi^+\pi^0 decays from other experiments and exploits isospin symmetry, are also presented. The dependence of the results on the maximum allowed amount of Uspin breaking is studied. At 68% probability, the value \gamma = ( 63.5 +7.2 6.7 ) degrees modulo 180 degrees is determined. In an alternative analysis, the value 2\beta_s = 0.12 +0.14 0.16 rad is found. In both measurements, the uncertainties due to Uspin breaking effects up to 50% are included.
Dependences of the $68\%$ (hatched areas) and $95\%$ (filled areas) probability intervals on the allowed amount of nonfactorizable Uspin breaking, for (a) $\gamma$ from analysis A and (b) $2\beta_s$ from analysis B. 
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Distributions of (a) $\gamma$ from analysis A and (b) $2\beta_s$ from analysis B, corresponding to $\kappa=0.5$. The hatched areas correspond to 68% probability intervals, whereas the filled areas correspond to 95% probability intervals. 
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Dependences of the $68\%$ (hatched areas) and $95\%$ (filled areas) probability intervals on the allowed amount of nonfactorizable Uspin breaking, for (a) $\gamma$ from analysis C and (b) $2\beta_s$ from analysis D. 
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Distributions of (a) $\gamma$ from analysis C and (b) $2\beta_s$ from analysis D, corresponding to $\kappa=0.5$. The hatched areas correspond to 68% probability intervals, whereas the filled areas correspond to 95% probability intervals. 
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Results for (top) $\gamma$ and (bottom) $2\beta_s$ with 50% ($\kappa=0.5$) nonfactorizable Uspin breaking. As a comparison, other reference values are also reported. The most likely values are indicated by the vertical lines insides the boxes. The boxes and the error bars delimit the 68% and 95% probability intervals, respectively. 
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Animated gif made out of all figures. 
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Current knowledge of $ C P$ violation parameters and $ C P$ averaged branching fractions of $B^0\rightarrow \pi^+\pi^$, $B^0\rightarrow \pi^0\pi^0$, $B^+\rightarrow \pi^+\pi^0$ and $B^0_s \rightarrow K^+K^$ decays from BaBar, Belle, CDF and LHCb. The parameter $\rho(X, Y)$ is the statistical correlation between $X$ and $Y$. The first uncertainties are statistical and the second systematic. 
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Experimental inputs used for the determination of $\gamma$ and $2\beta_s$ from $B^0 \rightarrow \pi^+\pi^$ and $B^0_s \rightarrow K^+K^$ decays using Uspin symmetry. The parameter $\rho(X, Y)$ is the statistical correlation between $X$ and $Y$. For $C_{\pi^+\pi^}$ and $S_{\pi^+\pi^}$ we perform our own weighted average of BaBar, Belle and LHCb results, accounting for correlations. 
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Ranges of flat priors used for the determination of $\gamma$ and $2\beta_s$ from $B^0 \rightarrow \pi^+\pi^$ and $B^0_s \rightarrow K^+K^$ decays using Uspin symmetry. 
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Results obtained from analyses A and B with $\kappa=0.5$. The results are given modulo $180^\circ$ for $\vartheta$, $\vartheta^\prime$ and $\gamma$. 
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Experimental inputs used for the determination of $\gamma$ and $2\beta_s$ from $B^0 \rightarrow \pi^+\pi^$, $B^0 \rightarrow \pi^0\pi^0$, $B^+ \rightarrow \pi^+\pi^0$ and $B^0_s \rightarrow K^+K^$ decays, using isospin and Uspin symmetries. The parameter $\rho(X, Y)$ is the statistical correlation between $X$ and $Y$. For $C_{\pi^+\pi^}$ and $S_{\pi^+\pi^}$ we perform our own weighted average of BaBar, Belle and LHCb results, accounting for correlations. 
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Ranges of flat priors used for the determination of $\gamma$ and $2\beta_s$ from $B^0 \rightarrow \pi^+\pi^$, $B^0 \rightarrow \pi^0\pi^0$, $B^+ \rightarrow \pi^+\pi^0$ and $B^0_s \rightarrow K^+K^$ decays, using isospin and Uspin symmetries. 
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Results obtained from analyses C and D with $\kappa=0.5$. The results are given modulo $180^\circ$ for $\vartheta$, $\vartheta^\prime$ and $\gamma$. 
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Created on 22 October 2019.