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6  Upper limits on τ LFV branching fractions

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.


Table 14: Experimental upper limits on lepton flavour violating τ decays. The modes are grouped according to the particle content of their final states. Modes with baryon number violation are labelled with “BNV”.
Decay modeCategory
90% CL
Limit
Exp.Ref.
 
Γ156 =  e γ
ℓγ12.0 · 10−8Belle[86]
  3.3 · 10−8BaBar [87]
Γ157 =  µ γ
 4.5 · 10−8Belle[86]
  4.4 · 10−8BaBar [87]
Γ158 =  e π0
P0 2.2 · 10−8Belle[88]
  13.0 · 10−8BaBar [89]
Γ159 =  µ π0
 2.7 · 10−8Belle[88]
  11.0 · 10−8BaBar [89]
Γ162 =  e η
 4.4 · 10−8Belle[88]
  16.0 · 10−8BaBar [89]
Γ163 =  µ η
 2.3 · 10−8Belle[88]
  15.0 · 10−8BaBar [89]
Γ172 =  e η′(958)
 3.6 · 10−8Belle[88]
  24.0 · 10−8BaBar [89]
Γ173 =  µ η′(958)
 3.8 · 10−8Belle[88]
  14.0 · 10−8BaBar [89]
Γ160 =  e KS0
 2.6 · 10−8Belle[90]
  3.3 · 10−8BaBar [91]
Γ161 =  µ KS0
 2.3 · 10−8Belle[90]
  4.0 · 10−8BaBar [91]
Γ174 =  e f0(980)
S03.2 · 10−8Belle[92]
Γ175 =  µ f0(980)
 3.4 · 10−8Belle[92]
Γ164 =  e ρ0
V01.8 · 10−8Belle[93]
  4.6 · 10−8BaBar [94]
Γ165 =  µ ρ0
 1.2 · 10−8Belle[93]
  2.6 · 10−8BaBar [94]
Γ168 =  e K*(892)0
 3.2 · 10−8Belle[93]
  5.9 · 10−8BaBar [94]
Γ169 =  µ K*(892)0
 7.2 · 10−8Belle[93]
  17.0 · 10−8BaBar [94]
Γ170 =  
e 
K
*(892)0
 3.4 · 10−8Belle[93]
  4.6 · 10−8BaBar [94]
Γ171 =  
µ 
K
*(892)0
 7.0 · 10−8Belle[93]
  7.3 · 10−8BaBar [94]
Γ176 =  e φ
 3.1 · 10−8Belle[93]
  3.1 · 10−8BaBar [94]
Γ177 =  µ φ
 8.4 · 10−8Belle[93]
  19.0 · 10−8BaBar [94]
Γ166 =  e ω
 4.8 · 10−8Belle[93]
  11.0 · 10−8BaBar [95]
Γ167 =  µ ω
 4.7 · 10−8Belle[93]
  10.0 · 10−8BaBar [95]
Γ178 =  e e+ e
ℓℓℓ2.7 · 10−8Belle[96]
  2.9 · 10−8BaBar [97]
Γ181 =  µ e+ e
 1.8 · 10−8Belle[96]
  2.2 · 10−8BaBar [97]
Γ179 =  e µ+ µ
 2.7 · 10−8Belle[96]
  3.2 · 10−8BaBar [97]
Γ183 =  µ µ+ µ
 2.1 · 10−8Belle[96]
  3.3 · 10−8BaBar [97]
  4.6 · 10−8LHCb [98]
  37.6 · 10−8Atlas[99]
Γ182 =  e µ+ e
 1.5 · 10−8Belle[96]
  1.8 · 10−8BaBar [97]
Γ180 =  µ e+ µ
 1.7 · 10−8Belle[96]
  2.6 · 10−8BaBar [97]
Γ184 =  e π+ π
hh2.3 · 10−8Belle[100]
  12.0 · 10−8BaBar [101]
Γ186 =  µ π+  π
 2.1 · 10−8Belle[100]
  29.0 · 10−8BaBar [101]
Γ188 =  e π+ K
 3.7 · 10−8Belle[100]
  32.0 · 10−8BaBar [101]
Γ194 =  µ π+  K
 8.6 · 10−8Belle[100]
  26.0 · 10−8BaBar [101]
Γ189 =  e K+ π
 3.1 · 10−8Belle[100]
  17.0 · 10−8BaBar [101]
Γ195 =  µ K+  π
 4.5 · 10−8Belle[100]
  32.0 · 10−8BaBar [101]
Γ192 =  e K+ K
 3.4 · 10−8Belle[100]
  14.0 · 10−8BaBar [101]
Γ198 =  µ K+  K
 4.4 · 10−8Belle[100]
  25.0 · 10−8BaBar [101]
Γ191 =  e KS0 KS0
 7.1 · 10−8Belle[90]
Γ197 =  µ KS0  KS0
 8.0 · 10−8Belle[90]
Γ185 =  e+ π π
 2.0 · 10−8Belle[100]
  27.0 · 10−8BaBar [101]
Γ187 =  µ+ π π
 3.9 · 10−8Belle[100]
  7.0 · 10−8BaBar [101]
Γ190 =  e+ π K 
 3.2 · 10−8Belle[100]
  18.0· 10−8BaBar [101]
Γ196 =  µ+ π K
 4.8 · 10−8Belle[100]
  22.0 · 10−8BaBar [101]
Γ193 =  e+ K K 
 3.3 · 10−8Belle[100]
  15.0 · 10−8BaBar [101]
Γ199 =  µ+ K K
 4.7 · 10−8Belle[100]
  48.0 · 10−8BaBar [101]
Γ211 =   π Λ 
BNV3.0 · 10−8Belle[102]
  5.8 · 10−8BaBar [103]
Γ212 =  
 π 
Λ
 2.8 · 10−8Belle[102]
  5.9 · 10−8BaBar [103]
Γ213 =   K Λ 
 4.2 · 10−8Belle[102]
  15.· 10−8BaBar [103]
Γ214 =  
 K 
Λ
 3.1 · 10−8Belle[102]
  7.2 · 10−8BaBar [103]
Γ215 =   p µ µ
 44.0 · 10−8LHCb [104]
Γ216 =  
 
p
 µ+ µ
 33.0 · 10−8LHCb [104]
 


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