Lepton flavor violating τ and B decays and heavy neutrinos

We study lepton flavor violating (LFV) {tau} and B decays in models with heavy neutrinos to constrain the mixing matrix parameters U{sub {tau}}{sub N}. We find that the best current constraints when the heavy neutrinos are purely left handed come from LFV radiative {tau} decay modes. To obtain competitive constraints in LFV B decay, it is necessary to probe b{yields}X{sub s}{tau}{sup {+-}}e{sup {+-}} at the 10{sup -7} level. When the heavy neutrinos have both left- and right-handed couplings, the mixing parameters can be constrained by studying LFV B decay modes and LFV {tau} decay into three charged leptons. We find that the branching ratios B({tau}{sup {+-}}{yields}l{sub 1}{sup {+-}}l{sub 2}{sup {+-}}l{sub 3}{sup {+-}}), B(B{sub s}{yields}{tau}{sup {+-}}e{sup {+-}}) and B(b{yields}X{sub s}l{sub 1}{sup {+-}}l{sub 2}{sup {+-}}) need to be probed at the 10{sup -8} level in order to constrain the mixing parameters beyond what is known from unitarity.