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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
ℓγ <  12.0 · 10−8Belle[86]
   <  3.3 · 10−8BaBar [87]
Γ157 =  µ− γ
  <  4.5 · 10−8Belle[86]
   <  4.4 · 10−8BaBar [87]
Γ158 =  e− π0
ℓ 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)
ℓ S0 <  3.2 · 10−8Belle[92]
Γ175 =  µ− f0(980)
  <  3.4 · 10−8Belle[92]
Γ164 =  e− ρ0
ℓ V0 <  1.8 · 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−
ℓℓℓ <  2.7 · 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−
ℓ hh <  2.3 · 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 
BNV <  3.0 · 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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