The Standard Model predicts that the τ LFV branching fractions be too small to be measured with the available experimental precision. We report in Table 14 and Figure 2 the up-to-date experimental upper limits on these branching fractions.
Decay mode Category
90% CL Limit Exp. Ref.
Γ156 = e− γ ℓγ < 12.0 · 10−8 Belle [86] < 3.3 · 10−8 BaBar [87]
Γ157 = µ− γ < 4.5 · 10−8 Belle [86] < 4.4 · 10−8 BaBar [87]
Γ158 = e− π0 ℓ P0 < 2.2 · 10−8 Belle [88] < 13.0 · 10−8 BaBar [89]
Γ159 = µ− π0 < 2.7 · 10−8 Belle [88] < 11.0 · 10−8 BaBar [89]
Γ162 = e− η < 4.4 · 10−8 Belle [88] < 16.0 · 10−8 BaBar [89]
Γ163 = µ− η < 2.3 · 10−8 Belle [88] < 15.0 · 10−8 BaBar [89]
Γ172 = e− η′(958) < 3.6 · 10−8 Belle [88] < 24.0 · 10−8 BaBar [89]
Γ173 = µ− η′(958) < 3.8 · 10−8 Belle [88] < 14.0 · 10−8 BaBar [89]
Γ160 = e− KS0 < 2.6 · 10−8 Belle [90] < 3.3 · 10−8 BaBar [91]
Γ161 = µ− KS0 < 2.3 · 10−8 Belle [90] < 4.0 · 10−8 BaBar [91]
Γ174 = e− f0(980) ℓ S0 < 3.2 · 10−8 Belle [92]
Γ175 = µ− f0(980) < 3.4 · 10−8 Belle [92]
Γ164 = e− ρ0 ℓ V0 < 1.8 · 10−8 Belle [93] < 4.6 · 10−8 BaBar [94]
Γ165 = µ− ρ0 < 1.2 · 10−8 Belle [93] < 2.6 · 10−8 BaBar [94]
Γ168 = e− K*(892)0 < 3.2 · 10−8 Belle [93] < 5.9 · 10−8 BaBar [94]
Γ169 = µ− K*(892)0 < 7.2 · 10−8 Belle [93] < 17.0 · 10−8 BaBar [94]
Γ170 =
e−
K *(892)0 < 3.4 · 10−8 Belle [93] < 4.6 · 10−8 BaBar [94]
Γ171 =
µ−
K *(892)0 < 7.0 · 10−8 Belle [93] < 7.3 · 10−8 BaBar [94]
Γ176 = e− φ < 3.1 · 10−8 Belle [93] < 3.1 · 10−8 BaBar [94]
Γ177 = µ− φ < 8.4 · 10−8 Belle [93] < 19.0 · 10−8 BaBar [94]
Γ166 = e− ω < 4.8 · 10−8 Belle [93] < 11.0 · 10−8 BaBar [95]
Γ167 = µ− ω < 4.7 · 10−8 Belle [93] < 10.0 · 10−8 BaBar [95]
Γ178 = e− e+ e− ℓℓℓ < 2.7 · 10−8 Belle [96] < 2.9 · 10−8 BaBar [97]
Γ181 = µ− e+ e− < 1.8 · 10−8 Belle [96] < 2.2 · 10−8 BaBar [97]
Γ179 = e− µ+ µ− < 2.7 · 10−8 Belle [96] < 3.2 · 10−8 BaBar [97]
Γ183 = µ− µ+ µ− < 2.1 · 10−8 Belle [96] < 3.3 · 10−8 BaBar [97] < 4.6 · 10−8 LHCb [98] < 37.6 · 10−8 Atlas [99]
Γ182 = e− µ+ e− < 1.5 · 10−8 Belle [96] < 1.8 · 10−8 BaBar [97]
Γ180 = µ− e+ µ− < 1.7 · 10−8 Belle [96] < 2.6 · 10−8 BaBar [97]
Γ184 = e− π+ π− ℓ hh < 2.3 · 10−8 Belle [100] < 12.0 · 10−8 BaBar [101]
Γ186 = µ− π+ π− < 2.1 · 10−8 Belle [100] < 29.0 · 10−8 BaBar [101]
Γ188 = e− π+ K− < 3.7 · 10−8 Belle [100] < 32.0 · 10−8 BaBar [101]
Γ194 = µ− π+ K− < 8.6 · 10−8 Belle [100] < 26.0 · 10−8 BaBar [101]
Γ189 = e− K+ π− < 3.1 · 10−8 Belle [100] < 17.0 · 10−8 BaBar [101]
Γ195 = µ− K+ π− < 4.5 · 10−8 Belle [100] < 32.0 · 10−8 BaBar [101]
Γ192 = e− K+ K− < 3.4 · 10−8 Belle [100] < 14.0 · 10−8 BaBar [101]
Γ198 = µ− K+ K− < 4.4 · 10−8 Belle [100] < 25.0 · 10−8 BaBar [101]
Γ191 = e− KS0 KS0 < 7.1 · 10−8 Belle [90]
Γ197 = µ− KS0 KS0 < 8.0 · 10−8 Belle [90]
Γ185 = e+ π− π− < 2.0 · 10−8 Belle [100] < 27.0 · 10−8 BaBar [101]
Γ187 = µ+ π− π− < 3.9 · 10−8 Belle [100] < 7.0 · 10−8 BaBar [101]
Γ190 = e+ π− K− < 3.2 · 10−8 Belle [100] < 18.0· 10−8 BaBar [101]
Γ196 = µ+ π− K− < 4.8 · 10−8 Belle [100] < 22.0 · 10−8 BaBar [101]
Γ193 = e+ K− K− < 3.3 · 10−8 Belle [100] < 15.0 · 10−8 BaBar [101]
Γ199 = µ+ K− K− < 4.7 · 10−8 Belle [100] < 48.0 · 10−8 BaBar [101]
Γ211 = π− Λ BNV < 3.0 · 10−8 Belle [102] < 5.8 · 10−8 BaBar [103]
Γ212 =
π−
Λ < 2.8 · 10−8 Belle [102] < 5.9 · 10−8 BaBar [103]
Γ213 = K− Λ < 4.2 · 10−8 Belle [102] < 15.· 10−8 BaBar [103]
Γ214 =
K−
Λ < 3.1 · 10−8 Belle [102] < 7.2 · 10−8 BaBar [103]
Γ215 = p µ− µ− < 44.0 · 10−8 LHCb [104]
Γ216 =
p µ+ µ− < 33.0 · 10−8 LHCb [104]