Improved measurements of branching fractions andCPasymmetries inB→ηhdecays

We report improved measurements of B decays with an {eta} meson in the final state using 492 fb{sup -1} of data collected by the Belle detector at the KEKB e{sup +}e{sup -} collider. We observe the decays B{sup {+-}}{yields}{eta}{pi}{sup {+-}} and B{sup {+-}}{yields}{eta}K{sup {+-}} and measure the branching fractions B(B{sup {+-}}{yields}{eta}{pi}{sup {+-}})=(4.2{+-}0.4(stat){+-}0.2(sys))x10{sup -6} and B(B{sup {+-}}{yields}{eta}K{sup {+-}})=(1.9{+-}0.3(stat){sub -0.1}{sup +0.2}(sys))x10{sup -6}. The corresponding CP-violating asymmetries are measured to be -0.23{+-}0.09(stat){+-}0.02(sys) for {eta}{pi}{sup {+-}} and -0.39{+-}0.16(stat){+-}0.03(sys) for {eta}K{sup {+-}}. We also search for B{sup 0}{yields}{eta}K{sup 0} decays and set an upper limit of 1.9x10{sup -6} at the 90% confidence level.