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6  Upper limits on τ lepton-flavour-violating branching fractions

The Standard Model predicts that the τ lepton-flavour-violating (LFV) branching fractions are too small to be measured with the available experimental precision. We report in Table 14 and Figure 2 the experimental upper limits on these branching fractions that have been published by the B-factories BaBar and Belle and later experiments. We omit previous weaker upper limits (mainly from CLEO) and all preliminary results presented several years ago. The previous HFLAV report [4] still included a few preliminary results, which have all been removed now.


Table 14: Experimental upper limits on lepton flavour violating τ decays. The modes are grouped according to the properties of their final states. Modes with baryon number violation are labelled with “BNV”.
Decay modeCategory
90% CL
Limit
Exp.Ref.
 
Γ156 = e γℓγ3.3 · 10−8BaBar[92]
Γ156 = e γ 1.2 · 10−7Belle[93]
Γ157 = µ γ 4.4 · 10−8BaBar[92]
Γ157 = µ γ 4.5 · 10−8Belle[93]
Γ158 = e π0P01.3 · 10−7BaBar[94]
Γ158 = e π0 8.0 · 10−8Belle[95]
Γ159 = µ π0 1.1 · 10−7BaBar[94]
Γ159 = µ π0 1.2 · 10−7Belle[95]
Γ160 = e KS0 3.3 · 10−8BaBar[96]
Γ160 = e KS0 2.6 · 10−8Belle[97]
Γ161 = µ KS0 4.0 · 10−8BaBar[96]
Γ161 = µ KS0 2.3 · 10−8Belle[97]
Γ162 = e η 1.6 · 10−7BaBar[94]
Γ162 = e η 9.2 · 10−8Belle[95]
Γ163 = µ η 1.5 · 10−7BaBar[94]
Γ163 = µ η 6.5 · 10−8Belle[95]
Γ172 = e η(958) 2.4 · 10−7BaBar[94]
Γ172 = e η(958) 1.6 · 10−7Belle[95]
Γ173 = µ η(958) 1.4 · 10−7BaBar[94]
Γ173 = µ η(958) 1.3 · 10−7Belle[95]
Γ164 = e ρ0V04.6 · 10−8BaBar[98]
Γ164 = e ρ0 1.8 · 10−8Belle[99]
Γ165 = µ ρ0 2.6 · 10−8BaBar[98]
Γ165 = µ ρ0 1.2 · 10−8Belle[99]
Γ166 = e ω 1.1 · 10−7BaBar[100]
Γ166 = e ω 4.8 · 10−8Belle[99]
Γ167 = µ ω 1.0 · 10−7BaBar[100]
Γ167 = µ ω 4.7 · 10−8Belle[99]
Γ168 = e K*(892)0 5.9 · 10−8BaBar[98]
Γ168 = e K*(892)0 3.2 · 10−8Belle[99]
Γ169 = µ K*(892)0 1.7 · 10−7BaBar[98]
Γ169 = µ K*(892)0 7.2 · 10−8Belle[99]
Γ170 = e K*(892)0 4.6 · 10−8BaBar[98]
Γ170 = e K*(892)0 3.4 · 10−8Belle[99]
Γ171 = µ K*(892)0 7.3 · 10−8BaBar[98]
Γ171 = µ K*(892)0 7.0 · 10−8Belle[99]
Γ176 = e φ 3.1 · 10−8BaBar[98]
Γ176 = e φ 3.1 · 10−8Belle[99]
Γ177 = µ φ 1.9 · 10−7BaBar[98]
Γ177 = µ φ 8.4 · 10−8Belle[99]
Γ174 = e f0(980)S03.2 · 10−8Belle[101]
Γ175 = µ f0(980) 3.4 · 10−8Belle[101]
Γ178 = e e+ eℓℓℓ2.9 · 10−8BaBar[102]
Γ178 = e e+ e 2.7 · 10−8Belle[103]
Γ179 = e µ+ µ 3.2 · 10−8BaBar[102]
Γ179 = e µ+ µ 2.7 · 10−8Belle[103]
Γ180 = µ e+ µ 2.6 · 10−8BaBar[102]
Γ180 = µ e+ µ 1.7 · 10−8Belle[103]
Γ181 = µ e+ e 2.2 · 10−8BaBar[102]
Γ181 = µ e+ e 1.8 · 10−8Belle[103]
Γ182 = e µ+ e 1.8 · 10−8BaBar[102]
Γ182 = e µ+ e 1.5 · 10−8Belle[103]
Γ183 = µ µ+ µ 3.8 · 10−7ATLAS[104]
Γ183 = µ µ+ µ 3.3 · 10−8BaBar[102]
Γ183 = µ µ+ µ 2.1 · 10−8Belle[103]
Γ183 = µ µ+ µ 4.6 · 10−8LHCb[105]
Γ184 = e π+ πhh1.2 · 10−7BaBar[106]
Γ184 = e π+ π 2.3 · 10−8Belle[107]
Γ185 = e+ π π 2.7 · 10−7BaBar[106]
Γ185 = e+ π π 2.0 · 10−8Belle[107]
Γ186 = µ π+ π 2.9 · 10−7BaBar[106]
Γ186 = µ π+ π 2.1 · 10−8Belle[107]
Γ187 = µ+ π π 7.0 · 10−8BaBar[106]
Γ187 = µ+ π π 3.9 · 10−8Belle[107]
Γ188 = e π+ K 3.2 · 10−7BaBar[106]
Γ188 = e π+ K 3.7 · 10−8Belle[107]
Γ189 = e K+ π 1.7 · 10−7BaBar[106]
Γ189 = e K+ π 3.1 · 10−8Belle[107]
Γ190 = e+ π K 1.8 · 10−7BaBar[106]
Γ190 = e+ π K 3.2 · 10−8Belle[107]
Γ191 = e KS0 KS0 7.1 · 10−8Belle[97]
Γ192 = e K+ K 1.4 · 10−7BaBar[106]
Γ192 = e K+ K 3.4 · 10−8Belle[107]
Γ193 = e+ K K 1.5 · 10−7BaBar[106]
Γ193 = e+ K K 3.3 · 10−8Belle[107]
Γ194 = µ π+ K 2.6 · 10−7BaBar[106]
Γ194 = µ π+ K 8.6 · 10−8Belle[107]
Γ195 = µ K+ π 3.2 · 10−7BaBar[106]
Γ195 = µ K+ π 4.5 · 10−8Belle[107]
Γ196 = µ+ π K 2.2 · 10−7BaBar[106]
Γ196 = µ+ π K 4.8 · 10−8Belle[107]
Γ197 = µ KS0 KS0 8.0 · 10−8Belle[97]
Γ198 = µ K+ K 2.5 · 10−7BaBar[106]
Γ198 = µ K+ K 4.4 · 10−8Belle[107]
Γ199 = µ+ K K 4.8 · 10−7BaBar[106]
Γ199 = µ+ K K 4.7 · 10−8Belle[107]
Γ211 = π ΛBNV7.2 · 10−8Belle[108]
Γ212 = π Λ 1.4 · 10−7Belle[108]
Γ215 = p µ µ 4.4 · 10−7LHCb[109]
Γ216 = p µ+ µ 3.3 · 10−7LHCb[109]
 


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