Abstract
We measure the branching fractions and CP asymmetries for the singly Cabibbo-suppressed decays D0 → π+π−η, D0 → K+K−η, and D0 → ϕη, using 980 fb−1 of data from the Belle experiment at the KEKB e+e− collider. We obtainBD0→π+π−η=1.22±0.02stat±0.02syst±0.03Bref×10−3,BD0→K+K−η=1.80−0.06+0.07stat±0.04syst±0.05Bref×10−4,BD0→ϕη=1.84±0.09stat±0.06syst±0.05Bref×10−4,\\documentclass[12pt]{minimal}\t\t\t\t\\usepackage{amsmath}\t\t\t\t\\usepackage{wasysym}\t\t\t\t\\usepackage{amsfonts}\t\t\t\t\\usepackage{amssymb}\t\t\t\t\\usepackage{amsbsy}\t\t\t\t\\usepackage{mathrsfs}\t\t\t\t\\usepackage{upgreek}\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\t\t\t\t\\begin{document}$$ {\\displaystyle \\begin{array}{c}\\mathcal{B}\\left({D}^0\\to {\\pi}^{+}{\\pi}^{-}\\eta \\right)=\\left[1.22\\pm 0.02\\left(\\mathrm{stat}\\right)\\pm 0.02\\left(\\mathrm{syst}\\right)\\pm 0.03\\left({\\mathcal{B}}_{\\mathrm{ref}}\\right)\\right]\\times {10}^{-3},\\\\ {}\\mathcal{B}\\left({D}^0\\to {K}^{+}{K}^{-}\\eta \\right)=\\left[{1.80}_{-0.06}^{+0.07}\\left(\\mathrm{stat}\\right)\\pm 0.04\\left(\\mathrm{syst}\\right)\\pm 0.05\\left({\\mathcal{B}}_{\\mathrm{ref}}\\right)\\right]\\times {10}^{-4},\\\\ {}\\mathcal{B}\\left({D}^0\\to \\phi \\eta \\right)=\\left[1.84\\pm 0.09\\left(\\mathrm{stat}\\right)\\pm 0.06\\left(\\mathrm{syst}\\right)\\pm 0.05\\left({\\mathcal{B}}_{\\mathrm{ref}}\\right)\\right]\\times {10}^{-4},\\end{array}} $$\\end{document}where the third uncertainty ( mathcal{B} ref) is from the uncertainty in the branching fraction of the reference mode D0 → K−π+η. The color-suppressed decay D0 → ϕη is observed for the first time, with very high significance. The results for the CP asymmetries areACPD0π+π−η=0.9±1.2stat±0.5syst%,ACPD0→K+K−η=−1.4±3.3stat±1.1syst%,ACPD0→ϕη=−1.9±4.4stat±0.6syst%.\\documentclass[12pt]{minimal}\t\t\t\t\\usepackage{amsmath}\t\t\t\t\\usepackage{wasysym}\t\t\t\t\\usepackage{amsfonts}\t\t\t\t\\usepackage{amssymb}\t\t\t\t\\usepackage{amsbsy}\t\t\t\t\\usepackage{mathrsfs}\t\t\t\t\\usepackage{upgreek}\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\t\t\t\t\\begin{document}$$ {\\displaystyle \\begin{array}{c}{A}_{CP}\\left({D}^0\\ {\\pi}^{+}{\\pi}^{-}\\eta \\right)=\\left[0.9\\pm 1.2\\left(\\mathrm{stat}\\right)\\pm 0.5\\left(\\mathrm{syst}\\right)\\right]\\%,\\\\ {}{A}_{CP}\\left({D}^0\\to {K}^{+}{K}^{-}\\eta \\right)=\\left[-1.4\\pm 3.3\\left(\\mathrm{stat}\\right)\\pm 1.1\\left(\\mathrm{syst}\\right)\\right]\\%,\\\\ {} ACP\\ \\left({D}^0\\to \\phi \\eta \\right)=\\left[-1.9\\pm 4.4\\left(\\mathrm{stat}\\right)\\pm 0.6\\left(\\mathrm{syst}\\right)\\right]\\%.\\end{array}} $$\\end{document}The results for D0 → π+π−η are a significant improvement over previous results. The branching fraction and ACP results for D0 → K+K−η, and the ACP result for D0 → ϕη, are the first such measurements. No evidence for CP violation is found in any of these decays.
Highlights
probability density function (PDF)Mass resolution calibrationYield correction with efficiency map Monte Carlo (MC) statistics veto KS0Interference in MKKTotal syst. error which is very close to our measurement of B(D0 → K + K − η)φ−excluded in eq (4.11).4.3 Systematic uncertaintiesThe sources of systematic uncertainty in measuring the branching fractions are listed in table 2
The color-suppressed decay D0 → φη is observed for the first time, with very high significance
The ratio of the root-mean-square (RMS) to the mean value of the resulting distribution of signal yields is taken as the systematic uncertainty due to the fixed parameters
Summary
Institut für Experimentelle Teilchenphysik, Karlsruher Institut für Technologie, Karlsruhe, Germany. Korea Institute of Science and Technology Information, Daejeon 34141, South Korea. P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow 119991, Russian Federation. Faculty of Mathematics and Physics, University of Ljubljana, 1000 Ljubljana, Slovenia. Luther College, Decorah, IA 52101, U.S.A. Faculty of Chemistry and Chemical Engineering, University of Maribor, 2000 Maribor, Slovenia. University of Mississippi, University, MS 38677, U.S.A
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