Improved measurements of the absolute branching fractions of the inclusive decays $D^{+(0)}\to \varphi X$

Abstract

By analyzing 2.93 fb${}^{-1}$ of $e^{+}{e}^{-}$ annihilation data taken at the center-of-mass energy $\sqrt{s}=$ 3.773 GeV with the BESIII detector, we determine the branching fractions of the inclusive decays $D^{+}\to \varphi X$ and $D^0\to \varphi X$ to be $(1.135\pm 0.034\pm 0.031)\%$ and $(1.091\pm 0.027\pm 0.035)\%$, respectively, where $X$ denotes any possible particle combination. The first uncertainties are statistical and the second systematic. We also determine the branching fractions of the decays $D\to \varphi X$ and their charge conjugate modes $\bar{D}\to \varphi \bar{X}$ separately for the first time, and no significant CP asymmetry is observed.