Measurements of Absolute Branching Fractions of Fourteen Exclusive Hadronic D Decays to η

Using 2.93  fb−1 of e+e− collision data taken at a center-of-mass energy of 3.773 GeV with the BESIII detector, we report the first measurements of the absolute branching fractions of 14 hadronic D0(+) decays to exclusive final states with an η, e.g., D0→K−π+η, K0Sπ0η, K+K−η, K0SK0Sη, K−π+π0η, K0Sπ+π−η, K0Sπ0π0η, and π+π−π0η; D+→K0Sπ+η, K0SK+η, K−π+π+η, K0Sπ+π0η, π+π+π−η, and π+π0π0η. Among these decays, the D0→K−π+η and D+→K0Sπ+η decays have the largest branching fractions, which are B(D0→K−π+η)=(1.853±0.025stat±0.031syst)% and B(D+→K0Sπ+η)=(1.309±0.037stat±0.031syst)%, respectively. The charge-parity asymmetries for the six decays with highest event yields are determined, and no statistically significant charge-parity violation is found.