The Standard Model prediction for / based on recent lattice QCD results exhibits a tension with the experimental data. We solve this tension through W + R gauge boson exchange in the SU (2) L × SU (2) R × U (1) B−L model with 'charge symmetry', whose theoretical motivation is to attribute the chiral structure of the Standard Model to the spontaneous breaking of SU (2) R × U (1) B−L gauge group and charge symmetry. We show that M W R < 58 TeV is required to account for the / anomaly in this model. Next, we make a prediction for the neutron EDM in the same model and study a correlation between / and the neutron EDM. We confirm that the model can solve the / anomaly without conflicting the current bound on the neutron EDM, and further reveal that almost all parameter regions in which the / anomaly is explained will be covered by future neutron EDM searches, which leads us to anticipate the discovery of the neutron EDM.

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In the left-right symmetric model based on SUð2Þ L × SUð2Þ R × Uð1Þ B−L gauge symmetry, there appear heavy neutral scalar particles mediating quark flavor changing neutral currents (FCNCs) at tree level. We consider a situation where such FCNCs give the only sign of the left-right model while W R gauge boson is decoupled, and name it "semialigned two Higgs doublet model" because the model resembles a two Higgs doublet model with mildly aligned Yukawa couplings to quarks. We predict a correlation among processes induced by quark FCNCs in the model, and argue that future precise calculation of meson-antimeson mixings and CP violation therein may hint at the semialigned two Higgs doublet model and the left-right model behind it.

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BaBar collaboration announced that they observed time reversal (T) asymmetry through B meson system. In the experiment, time dependencies of two distinctive processes, B − →B 0 andB 0 → B − (− expresses CP value) are compared with each other. In our study, we examine event number difference of these two processes. In contrast to the BaBar asymmetry, the asymmetry of events number includes the overall normalization difference for rates. Time dependence of the asymmetry is more general and it includes terms absent in one used by BaBar collaboration. Both of the BaBar asymmetry and ours are naively thought to be T-odd since two processes compared are related with flipping time direction. We investigate the time reversal transformation property of our asymmetry. Using our notation, one can see that the asymmetry is not precisely a T-odd quantity, taking into account indirect CP and CPT violation of K meson systems. The effect of ǫ K is extracted and gives rise to O(10 −3 ) contribution. The introduced parameters are invariant under rephasing of quarks so that the coefficients of our asymmetry are expressed as phase convention independent quantities. Some combinations of the asymmetry enable us to extract parameters for wrong sign decays of B d meson, CPT violation, etc. We also study the reason why the T-even terms are allowed to contribute to the asymmetry, and find that several conditions are needed for the asymmetry to be a T-odd quantity.