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Register a new userCP asymmetries in three-body B+- decays to charged pions and kaons
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CP asymmetries have been measured recently by the LHCb collaboration in three-body $B^+$ decays to final states involving charged pions and kaons. Large asymmetries with opposite signs at a level of about 60% have been observed in $B^pmto pi^pm({rm or} K^pm)pi^+pi^-$ and $B^pm to pi^pm K^+K^-$ for restricted regions in the Dalitz plots involving $pi^+pi^-$ and $K^+K^-$ with low invariant mass. U-spin is shown to predict corresponding $Delta S=0$ and $Delta S=1$ asymmetries with opposite signs and inversely proportional to their branching ratios, in analogy with a successful relation predicted thirteen years ago between asymmetries in $B_sto K^-pi^+$ and $B^0 to K^+ pi^-$. We compare these predictions with the measured integrated asymmetries. Effects of specific resonant or non-resonant partial waves on enhanced asymmetries for low-pair-mass regions of the Dalitz plot are studied in $B^pm to pi^pm pi^+pi^-$. The closure of low-mass $pi^+pi^-$ and $K^+K^-$ channels involving only $pipi leftrightarrow Kbar K$ rescattering may explain by CPT approximately equal magnitudes and opposite signs measured in $B^pmto pi^pmpi^+pi^-$ and $B^pm to pi^pm K^+K^-$.
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The time-dependent $C!P$ asymmetries in $B^0topi^+pi^-$ and $B_s^0to K^+!K^-$ decays are measured using a data sample of $pp$ collisions corresponding to an integrated luminosity of 3.0 fb$^{-1}$, collected with the LHCb detector at centre-of-mass energies of 7 and 8 TeV. The same data sample is used to measure the time-integrated $C!P$ asymmetries in $B^0to K^+pi^-$ and $B_s^0topi^+ K^-$ decays. The results are $C_{pi^+pi^-} = -0.34 pm 0.06 pm 0.01$, $S_{pi^+pi^-} = -0.63 pm 0.05 pm 0.01$, $C_{K^+!K^-} = 0.20 pm 0.06 pm 0.02$, $S_{K^+!K^-} = 0.18 pm 0.06 pm 0.02$, $C_{K^+!K^-}^{DeltaGamma} = -0.79 pm 0.07 pm 0.10$, $A_{C!P}^{B^0} = -0.084 pm 0.004 pm 0.003$, and $A_{C!P}^{B_s^0} = 0.213 pm 0.015 pm 0.007$, where the first uncertainties are statistical and the second systematic. Evidence for $C!P$ violation is found in the $B_s^0to K^+!K^-$ decay for the first time.
The time-dependent $CP$ asymmetries of $B^0to pi^+pi^-$ and $B^0_mathrm{s}!to K^+K^-$ decays are measured using a data sample of $pp$ collisions corresponding to an integrated luminosity of 1.9 fb$^{-1}$, collected with the LHCb detector at a centre-of-mass energy of 13 TeV. The results are begin{eqnarray*} C_{pipi} & = & -0.311 pm 0.045 pm 0.015, S_{pipi} & = & -0.706 pm 0.042 pm 0.013, C_{KK} & = & phantom{-}0.164 pm 0.034 pm 0.014, S_{KK} & = & phantom{-}0.123 pm 0.034 pm 0.015, cal {A}^{mathrm{DeltaGamma}}_{mathit{KK}} & = & -0.83phantom{0} pm 0.05phantom{0} pm 0.09, end{eqnarray*} where the first uncertainties are statistical and the second systematic. The same data sample is used to measure the time-integrated $CP$ asymmetries of $B^0to K^+pi^-$ and $B^0_mathrm{s}to K^-pi^+$ decays and the results are begin{eqnarray*} A_{CP}^{B^0} & = & -0.0824 pm 0.0033 pm 0.0033, A_{CP}^{B^0_mathrm{s}} & = & phantom{-}0.236phantom{0} pm 0.013phantom{0} pm 0.011. end{eqnarray*} All results are consistent with earlier measurements. A combination of LHCb measurements provides the first observation of time-dependent $CP$ violation in $B^0_mathrm{s}$ decays.
U-spin symmetry predicts equal CP rate asymmetries with opposite signs in pairs of $Delta S=0$ and $Delta S=1$ $B$ meson decays in which initial and final states are related by U-spin reflection. Of particular interest are six decay modes to final states with pairs of charged pions or kaons, including $B_s to pi^+K^-$ and $B_sto K^+K^-$ for which asymmetries have been reported recently by the LHCb collaboration. After reviewing the current status of these predictions, highlighted by the precision of a relation between asymmetries in $B_s to pi^+K^-$ and $B^0to K^+pi^-$, we perform a perturbative study of U-spin breaking corrections, searching for relations for combined asymmetries which hold to first order. No such relation is found in these six decays, in two-body decays involving a neutral kaon, and in three-body $B^+$ decays to charged pions and kaons.
The CP violating asymmetries for Cabibbo suppressed charged D meson decays in the standard model are estimated in the factorized approximation, using the two-loop effective hamiltonian and a model for final state interactions previously tested for Cabibbo allowed D decays. No new parameters are added. The predictions are larger than expected and not too far from the experimental possibilities.
To date, the weak-phase $gamma$ has been measured using two-body $B$-meson decays such as $Bto D K$ and $Bto Dpi$, whose amplitudes contain only tree-level diagrams. But $gamma$ can also be extracted from three-body charmless hadronic $B$ decays. Since the amplitudes for such decays contain both tree- and loop-level diagrams, $gamma$ obtained in this way is sensitive to new physics that can enter into these loops. The comparison of the values of $gamma$ extracted using tree-level and loop-level methods is therefore an excellent test for new physics. In this talk, we will show how U-spin and flavor-SU(3) symmetries can be used to develop methods for extracting $gamma$ from $Bto Kpipi$ and $Bto KK{bar K}$ decays. We describe a successful implementation of the flavor-SU(3) symmetry method applied to BaBar data.
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