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 20 February 2021.