Measurement of the lifetime of the $B_c^{+}$ meson using the $B_c^{+}\to J/\psi {\pi }^{+}$ decay mode

Abstract

The difference in total widths between the $B_c^{+}$ and $B^{+}$ mesons is measured using 3.0fb${}^{-1}$ of data collected by the LHCb experiment in 7 and 8 TeV centre-of-mass energy proton-proton collisions at the LHC. Through the study of the time evolution of $B_c^{+}\to J/\psi {\pi }^{+}$ and $B^{+}\to J/\psi K^{+}$ decays, the width difference is measured to be $$\Delta \Gamma \equiv {\Gamma }_{B_c^{+}}-{\Gamma }_{B^{+}}=4.46\pm 0.14\pm 0.07m{m}^{-1}c,$$ where the first uncertainty is statistical and the second systematic. The known lifetime of the $B^{+}$ meson is used to convert this to a precise measurement of the $B_c^{+}$ lifetime, $${\tau }_{B_c^{+}}=513.4\pm 11.0\pm 5.7fs,$$ where the first uncertainty is statistical and the second systematic.

arXiv comment19 pagers, 3 figures

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