Reference projections ===================== * Three B decay modes considered: D0K-, D*0(D0pi0,D0gamma)K-, D0K*-(Kspi) * D0 decay channels: Dalitz: D0->K0s pi- pi+ GLW: CP-even(KK+PiPi) + CP-odd(KsPi0,KsPhi,KsOmega) ADS: D0->K+pi- (DCS) * CP parameters: rb=0.1 for all the three modes gamma=65 deg deltaB=130 deg for D0K-, -50 deg for D*0K-, 130 deg for D0K*- * ADS inputs: r_D = 0.0603 +- 0.0025 cos(deltad)=0.5 +- 0.10 ---> deltad = (+-60.0 +- 6.8) deg * Dalitz model systematics: Take twice the pipi-S wave K matrix estimate (~4 deg). This seems a quite reasonable (conservative) estimate after all K-matrix upgrades + more detailed systematic studies under way. Taken uncorrelated among decay channels and within cartesian components of the same B decay * Input observables: Dalitz: (x_+-,y_+-), taken all uncorrelated GLW: (R_cp+-,A_cp+-), taken all uncorrelated ADS: (R_ads,A_ads), taken all uncorrelated * The combination is performed in (x_+-,y+-) space, by expressing GLW and ADS observables in terms of the cartesian coordinates. We assume Gaussian behavior for all observables. The 1- and 2-sigma contour plots for Dalitz+GLW+ADS, Dalitz+GLW and Dalitz only are shown in the following links, for each luminosity (B-: thick and solid, B+: thin and dotted). For each set of three figures, the first one corresponds to B->D0K, the second to B->D*0K, and the third to B->D0K*. 205 fb-1 ======== Dalitz+GLW+ADS -------------- http://ific.uv.es/~martinee/physreach/205fb/xy-205fb-DalitzGLWADS-DzKm.eps http://ific.uv.es/~martinee/physreach/205fb/xy-205fb-DalitzGLWADS-DstKm.eps http://ific.uv.es/~martinee/physreach/205fb/xy-205fb-DalitzGLWADS-DzKstm.eps Dalitz+GLW ---------- http://ific.uv.es/~martinee/physreach/205fb/xy-205fb-DalitzGLW-DzKm.eps http://ific.uv.es/~martinee/physreach/205fb/xy-205fb-DalitzGLW-DstKm.eps http://ific.uv.es/~martinee/physreach/205fb/xy-205fb-DalitzGLW-DzKstm.eps Dalitz ------ http://ific.uv.es/~martinee/physreach/205fb/xy-205fb-Dalitz-DzKm.eps http://ific.uv.es/~martinee/physreach/205fb/xy-205fb-Dalitz-DstKm.eps http://ific.uv.es/~martinee/physreach/205fb/xy-205fb-Dalitz-DzKstm.eps 500 fb-1 ======== Dalitz+GLW+ADS -------------- http://ific.uv.es/~martinee/physreach/500fb/xy-500fb-DalitzGLWADS-DzKm.eps http://ific.uv.es/~martinee/physreach/500fb/xy-500fb-DalitzGLWADS-DstKm.eps http://ific.uv.es/~martinee/physreach/500fb/xy-500fb-DalitzGLWADS-DzKstm.eps Dalitz+GLW ---------- http://ific.uv.es/~martinee/physreach/500fb/xy-500fb-DalitzGLW-DzKm.eps http://ific.uv.es/~martinee/physreach/500fb/xy-500fb-DalitzGLW-DstKm.eps http://ific.uv.es/~martinee/physreach/500fb/xy-500fb-DalitzGLW-DzKstm.eps Dalitz ------ http://ific.uv.es/~martinee/physreach/500fb/xy-500fb-Dalitz-DzKm.eps http://ific.uv.es/~martinee/physreach/500fb/xy-500fb-Dalitz-DstKm.eps http://ific.uv.es/~martinee/physreach/500fb/xy-500fb-Dalitz-DzKstm.eps 1000 fb-1 ========= Dalitz+GLW+ADS -------------- http://ific.uv.es/~martinee/physreach/1000fb/xy-1000fb-DalitzGLWADS-DzKm.eps http://ific.uv.es/~martinee/physreach/1000fb/xy-1000fb-DalitzGLWADS-DstKm.eps http://ific.uv.es/~martinee/physreach/1000fb/xy-1000fb-DalitzGLWADS-DzKstm.eps Dalitz+GLW ---------- http://ific.uv.es/~martinee/physreach/1000fb/xy-1000fb-DalitzGLW-DzKm.eps http://ific.uv.es/~martinee/physreach/1000fb/xy-1000fb-DalitzGLW-DstKm.eps http://ific.uv.es/~martinee/physreach/1000fb/xy-1000fb-DalitzGLW-DzKstm.eps Dalitz ------ http://ific.uv.es/~martinee/physreach/1000fb/xy-1000fb-Dalitz-DzKm.eps http://ific.uv.es/~martinee/physreach/1000fb/xy-1000fb-Dalitz-DstKm.eps http://ific.uv.es/~martinee/physreach/1000fb/xy-1000fb-Dalitz-DzKstm.eps 2000 fb-1 ========= Dalitz+GLW+ADS -------------- http://ific.uv.es/~martinee/physreach/2000fb/xy-2000fb-DalitzGLWADS-DzKm.eps http://ific.uv.es/~martinee/physreach/2000fb/xy-2000fb-DalitzGLWADS-DstKm.eps http://ific.uv.es/~martinee/physreach/2000fb/xy-2000fb-DalitzGLWADS-DzKstm.eps Dalitz+GLW ---------- http://ific.uv.es/~martinee/physreach/2000fb/xy-2000fb-DalitzGLW-DzKm.eps http://ific.uv.es/~martinee/physreach/2000fb/xy-2000fb-DalitzGLW-DstKm.eps http://ific.uv.es/~martinee/physreach/2000fb/xy-2000fb-DalitzGLW-DzKstm.eps Dalitz ------ http://ific.uv.es/~martinee/physreach/2000fb/xy-2000fb-Dalitz-DzKm.eps http://ific.uv.es/~martinee/physreach/2000fb/xy-2000fb-Dalitz-DstKm.eps http://ific.uv.es/~martinee/physreach/2000fb/xy-2000fb-Dalitz-DzKstm.eps 4000 fb-1 ========= Dalitz+GLW+ADS -------------- http://ific.uv.es/~martinee/physreach/4000fb/xy-4000fb-DalitzGLWADS-DzKm.eps http://ific.uv.es/~martinee/physreach/4000fb/xy-4000fb-DalitzGLWADS-DstKm.eps http://ific.uv.es/~martinee/physreach/4000fb/xy-4000fb-DalitzGLWADS-DzKstm.eps Dalitz+GLW ---------- http://ific.uv.es/~martinee/physreach/4000fb/xy-4000fb-DalitzGLW-DzKm.eps http://ific.uv.es/~martinee/physreach/4000fb/xy-4000fb-DalitzGLW-DstKm.eps http://ific.uv.es/~martinee/physreach/4000fb/xy-4000fb-DalitzGLW-DzKstm.eps Dalitz ------ http://ific.uv.es/~martinee/physreach/4000fb/xy-4000fb-Dalitz-DzKm.eps http://ific.uv.es/~martinee/physreach/4000fb/xy-4000fb-Dalitz-DstKm.eps http://ific.uv.es/~martinee/physreach/4000fb/xy-4000fb-Dalitz-DzKstm.eps * Extraction of gamma uncertainty from RMS of the distribution of fitted gamma values to toy MC samples generated according to the combined (x,y) -taking into account full correlation matrix- at generated -truth- (rb,gamma,delta). No gamma scan (CL) needed for our purpose here since we know the truth value. Below are the corresponding distributions for each luminosity. For each set of three figures, the first one corresponds the Dalitz+GLW+ADS combination, the second to Dalitz+GLW and the third Dalitz only. 205 fb-1 ======== http://ific.uv.es/~martinee/physreach/205fb/gamma-205fb-DalitzGLWADS-DzKmDstKmDzKstm.eps http://ific.uv.es/~martinee/physreach/205fb/gamma-205fb-DalitzGLW-DzKmDstKmDzKstm.eps http://ific.uv.es/~martinee/physreach/205fb/gamma-205fb-Dalitz-DzKmDstKmDzKstm.eps 500 fb-1 ======== http://ific.uv.es/~martinee/physreach/500fb/gamma-500fb-DalitzGLWADS-DzKmDstKmDzKstm.eps http://ific.uv.es/~martinee/physreach/500fb/gamma-500fb-DalitzGLW-DzKmDstKmDzKstm.eps http://ific.uv.es/~martinee/physreach/500fb/gamma-500fb-Dalitz-DzKmDstKmDzKstm.eps 1000 fb-1 ========= http://ific.uv.es/~martinee/physreach/1000fb/gamma-1000fb-DalitzGLWADS-DzKmDstKmDzKstm.eps http://ific.uv.es/~martinee/physreach/1000fb/gamma-1000fb-DalitzGLW-DzKmDstKmDzKstm.eps http://ific.uv.es/~martinee/physreach/1000fb/gamma-1000fb-Dalitz-DzKmDstKmDzKstm.eps 2000 fb-1 ========= http://ific.uv.es/~martinee/physreach/2000fb/gamma-2000fb-DalitzGLWADS-DzKmDstKmDzKstm.eps http://ific.uv.es/~martinee/physreach/2000fb/gamma-2000fb-DalitzGLW-DzKmDstKmDzKstm.eps http://ific.uv.es/~martinee/physreach/2000fb/gamma-2000fb-Dalitz-DzKmDstKmDzKstm.eps 4000 fb-1 ========= http://ific.uv.es/~martinee/physreach/4000fb/gamma-4000fb-DalitzGLWADS-DzKmDstKmDzKstm.eps http://ific.uv.es/~martinee/physreach/4000fb/gamma-4000fb-DalitzGLW-DzKmDstKmDzKstm.eps http://ific.uv.es/~martinee/physreach/4000fb/gamma-4000fb-Dalitz-DzKmDstKmDzKstm.eps The table below summarizes the rms of the above distributions: Lumi (fb-1) 205 500 1000 2000 4000 -------------------------------------------------------------------- Dalitz+GLW+ADS (deg) 21.3 12.9 8.8 6.4 4.8 Dalitz+GLW (deg) 26.6 17.2 11.9 8.4 6.3 Dalitz (deg) 34.0 23.0 15.3 10.5 8.0 The projection for 205 fb-1 for Dalitz only could be compared to the current BaBar error (HEP-05, hep-ex/0507101), 32.8 deg, which is in fairly good agreement with the projection for rb=0.1. Projections without knowledge of cos(deltad) from CLEO-c ======================================================== Integration over deltad assuming a flat a priori distribution, from toys at reference values Lumi (fb-1) 205 500 1000 2000 4000 -------------------------------------------------------------------- Dalitz+GLW+ADS (deg) 21.7 14.1 9.2 6.5 4.9