First evidence for cos2β\u3e0 and resolution of the CKM Unitarity Triangle ambiguity by a time-dependent Dalitz plot analysis of B0→D(∗)h0 with D→K0Sπ+π− decays
We present first evidence that the cosine of the CP-violating weak phase 2β is positive, and hence exclude trigonometric multifold solutions of the CKM Unitarity Triangle using a time-dependent Dalitz plot analysis of B0→D(∗)h0 with D→K0Sπ+π− decays, where h0∈{π0,η,ω} denotes a light unflavored and neutral hadron. The measurement is performed combining the final data sets of the BaBar and Belle experiments collected at the Υ(4S) resonance at the asymmetric-energy B factories PEP-II at SLAC and KEKB at KEK, respectively. The data samples contain (471±3)×106BB¯ pairs recorded by the BaBar detector and (772±11)×106BB¯ pairs recorded by the Belle detector. The results of the measurement are sin2β=0.80±0.14(stat.)±0.06(syst.)±0.03(model) and cos2β=0.91±0.22(stat.)±0.09(syst.)±0.07(model). The result for the direct measurement of the angle β of the CKM Unitarity Triangle is β=(22.5±4.4(stat.)±1.2(syst.)±0.6(model))∘. The quoted model uncertainties are due to the composition of the D0→K0Sπ+π− decay amplitude model, which is newly established by performing a Dalitz plot amplitude analysis using a high-statistics e+e−→cc¯ data sample. CP violation is observed in B0→D(∗)h0 decays at the level of 5.1 standard deviations. The significance for cos2β\u3e0 is 3.7 standard deviations. The trigonometric multifold solution π/2−β=(68.1±0.7)∘ is excluded at the level of 7.3 standard deviations. The measurement resolves an ambiguity in the determination of the apex of the CKM Unitarity Triangle
