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M.Stroili R.Sullivan M.K.Sumisawa K.Sumiyoshi T.Summers D.J.Sun L.Takizawa M.Tamponi U.Tanida K.Taras P.Tasneem N.Tenchini F.Tisserand V.Todyshevx K.Y.Touramanis C.Uchida M.Uglov T.Unno Y.Uno S.Vahsen S.E.Varner G.Vasseur G.Va'Vra J.?ervenkov D.Verderi M.Vitale L.Vorobyev V.Vo� C.Wagner S.R.Waheed E.Waldi R.Walsh J.J.Wang B.Wang C.H.Wang M.-Z.Wang P.Watanabe Y.Wilson F.F.Wilson J.R.Wisniewski W.J.Won E.Wormser G.Wright D.M.Wu S.L.Ye H.Yuan C.Z.Yusa Y.Zakharov S.Zallo A.Zani L.Zhang Z.P.Zhilich V.Zhukova V.Zhulanov V.Zupanc A.2025-02-1720181http://dx.doi.org/10.1103/PhysRevLett.121.261801https://idr.iitbbs.ac.in/handle/2008/1602We present first evidence that the cosine of the CP-violating weak phase 2? is positive, and hence exclude trigonometric multifold solutions of the Cabibbo-Kobayashi-Maskawa (CKM) Unitarity Triangle using a time-dependent Dalitz plot analysis of B0?D(?)h0 with D?KS0?+?- decays, where h0 {?0,?,?} 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 (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 sin2?=0.80�0.14(stat)�0.06(syst)�0.03(model) and cos2?=0.91�0.22(stat)�0.09(syst)�0.07(model). The result for the direct measurement of the angle ? of the CKM Unitarity Triangle is ?=[22.5�4.4(stat)�1.2(syst)�0.6(model)]�. The measurement assumes no direct CP violation in B0?D(?)h0 decays. The quoted model uncertainties are due to the composition of the D0?KS0?+?- 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 cos2?>0 is 3.7 standard deviations. The trigonometric multifold solution ?/2-?=(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. � 2018 authors. Published by the American Physical Society.enFirst Evidence for cos2?>0 and Resolution of the Cabibbo-Kobayashi-Maskawa Quark-Mixing Unitarity Triangle AmbiguityArticle