Measurement of the ratio of branching fractions and difference in CP asymmetries of the decays B+ \u2192 J/\u03c8\u03c0+ and B+ \u2192 J/\u03c8K+

Abstract

The ratio of branching fractions and the difference in CP asymmetries of the decays B+ → J/ψπ+ and B+ → J/ψK+ are measured using a data sample of pp collisions collected by the LHCb experiment, corresponding to an integrated luminosity of 3 fb−1 at centre-of-mass energies of 7 and 8 TeV. The results areℬB+→J/ψπ+ℬB+→J/ψK+=3.83±0.03±0.03×10−2,\\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}$$ \\frac{\\mathrm{\\mathcal{B}}\\left({B}^{+}\\to J/\\psi {\\pi}^{+}\\right)}{\\mathrm{\\mathcal{B}}\\left({B}^{+}\\to J/\\psi {K}^{+}\\right)}=\\left(3.83\\pm 0.03\\pm 0.03\\right)\\times {10}^{-2}, $$\\end{document}ACPB+→J/ψπ+−ACPB+→J/ψK+=1.82±0.86±0.14×10−2,\\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}$$ {\\mathcal{A}}^{\\mathrm{CP}}\\left({B}^{+}\\to J/\\psi {\\pi}^{+}\\right)-{\\mathcal{A}}^{\\mathrm{CP}}\\left({B}^{+}\\to J/\\psi {K}^{+}\\right)=\\left(1.82\\pm 0.86\\pm 0.14\\right)\\times {10}^{-2}, $$\\end{document}where the first uncertainties are statistical and the second are systematic. Combining this result with a recent LHCb measurement of {mathcal{A}}^{mathrm{CP}}left({B}^{+}to J/{psi K}^{+}right) provides the most precise estimate to date of CP violation in the decay B+ → J/ψπ+,ACPB+→J/ψπ+=1.91±0.89±0.16×10−2.\\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}$$ {\\mathcal{A}}^{\\mathrm{CP}}\\left({B}^{+}\\to J/{\\psi \\pi}^{+}\\right)=\\left(1.91\\pm 0.89\\pm 0.16\\right)\\times 1{0}^{-2}. $$\\end{document}