Measurement of the absolute branching fractions for D{sub s}{sup -}{yields}l{sup -}{nu}{sub l} and extraction of the decay constant f{sub D{sub s}}
The absolute branching fractions for the decays D{sub s}{sup -}{yields}l{sup -}{nu}{sub l} (l=e, {mu}, or {tau}) are measured using a data sample corresponding to an integrated luminosity of 521 fb{sup -1} collected at center-of-mass energies near 10.58 GeV with the BABAR detector at the PEP-II e{sup +}e{sup -} collider at SLAC. The number of D{sub s}{sup -} mesons is determined by reconstructing the recoiling system DKX{gamma} in events of the type e{sup +}e{sup -}{yields}DKXD{sub s}{sup *-}, where D{sub s}{sup *-}{yields}D{sub s}{sup -}{gamma} and X represents additional pions from fragmentation. The D{sub s}{sup -}{yields}l{sup -}{nu}{sub l} events are detected by full or partial reconstruction of the recoiling system DKX{gamma}l. The branching fraction measurements are combined to determine the D{sub s}{sup -} decay constant f{sub D{sub s}}=(258.6{+-}6.4{+-}7.5) MeV, where the first uncertainty is statistical and the second is systematic.