LEPTONS. Mass m = ( ± ) 10 6 u Mass m = ± MeV me + m e
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1 LEPTONS e J = 1 2 Mass m = ( ± ) 10 6 u Mass m = ± MeV me + m e /m < , CL = 90% qe + + q / e e < Magnetic moment µ = ± µ B (g e + g e )/g average =( 0.5±2.1) Electric dipole moment d =(0.07 ± 0.07) e cm Mean life τ > yr, CL = 90% [a] µ J = 1 2 Mass m = ± u Mass m = ± MeV Mean life τ =( ± ) 10 6 s τ µ +/τ µ = ± cτ = m Magnetic moment µ = ± e h/2m µ (g µ + g µ )/g average =( 2.6±1.6) 10 8 Electric dipole moment d =(3.7±3.4) e cm Decay parameters [b] ρ = ± η = ± δ =0.749 ± ξp µ =1.003 ± [c] ξp µ δ/ρ > , CL = 90% [c] ξ =1.00 ± 0.04 ξ =0.7±0.4 α/a = (0 ± 4) 10 3 α /A = (0 ± 4) 10 3 β/a = (4 ± 6) 10 3 β /A = (2 ± 6) 10 3 η =0.02 ± Page 1 Created: 10/24/ :07
2 µ + modes are charge conjugates of the modes below. p µ DECAY MODES Fraction (Γ i /Γ) Confidence level (MeV/c) e ν e ν µ 100% 53 e ν e ν µ γ [d] (1.4±0.4) % 53 e ν e ν µ e + e [e] (3.4±0.4) Lepton Family number (LF ) violating modes e ν e ν µ LF [f ] < 1.2 % 90% 53 e γ LF < % 53 e e + e LF < % 53 e 2γ LF < % 53 τ J = 1 2 Mass m = MeV (m τ + m τ )/m average < , CL = 90% Mean life τ = (290.6 ± 1.1) s cτ =87.11 µm Magnetic moment anomaly > and < 0.058, CL = 95% Re(d τ ) > 3.1 and< e cm, CL = 95% Im(d τ ) < e cm, CL = 95% Weak dipole moment Re(d w τ ) < e cm, CL = 95% Im(d w τ ) < e cm, CL = 95% Weak anomalous magnetic dipole moment Re(α w τ ) < , CL = 90% Im(α w τ ) < , CL = 90% Page 2 Created: 10/24/ :07
3 Decay parameters See the τ Particle Listings for a note concerning τ-decay parameters. ρ τ (e or µ) =0.745 ± ρ τ (e) =0.747 ± ρ τ (µ) =0.763 ± ξ τ (e or µ) =0.985 ± ξ τ (e) =0.994 ± ξ τ (µ) =1.030 ± η τ (e or µ) =0.013 ± η τ (µ) =0.094 ± (δξ) τ (e or µ) =0.746 ± (δξ) τ (e) =0.734 ± (δξ) τ (µ) =0.778 ± ξ τ (π) =0.993 ± ξ τ (ρ) =0.994 ± ξ τ (a 1 )=1.001 ± ξ τ (all hadronic modes) = ± τ + modes are charge conjugates of the modes below. h ± stands for π ± or K ±. l stands for e or µ. Neutrals stands for γ s and/or π 0 s. Scale factor/ p τ DECAY MODES Fraction (Γ i /Γ) Confidence level (MeV/c) Modes with one charged particle particle 0 neutrals 0K 0 ν τ (85.35±0.07) % S=1.1 ( 1-prong ) particle 0 neutrals 0K 0 L ν τ (84.71±0.07) % S=1.1 µ ν µ ν τ [g] (17.37±0.06) % 885 µ ν µ ν τ γ [e] ( 3.6 ±0.4 ) 10 3 e ν e ν τ [g] (17.84±0.06) % 888 e ν e ν τ γ [e] ( 1.75±0.18) % h 0K 0 L ν τ (12.30±0.10) % S=1.4 h ν τ (11.75±0.10) % S=1.4 π ν τ [g] (11.06±0.11) % S= K ν τ [g] ( 6.86±0.23) h 1 neutralsν τ (36.91±0.14) % S=1.1 h π 0 ν τ (25.86±0.13) % S=1.1 π π 0 ν τ [g] (25.41±0.14) % S= π π 0 non-ρ(770)ν τ ( 3.0 ±3.2 ) K π 0 ν τ [g] ( 4.50±0.30) Page 3 Created: 10/24/ :07
4 h 2π 0 ν τ (10.76±0.15) % S=1.1 h 2π 0 ν τ ( 9.39±0.14) % S=1.1 h 2π 0 ν τ (ex.k 0 ) ( 9.23±0.14) % S=1.1 π 2π 0 ν τ (ex.k 0 ) [g] ( 9.17±0.14) % S= π 2π 0 ν τ (ex.k 0 ), < CL=95% scalar π 2π 0 ν τ (ex.k 0 ), vector < CL=95% K 2π 0 ν τ (ex.k 0 ) [g] ( 5.8 ±2.3 ) h 3π 0 ν τ ( 1.37±0.11) % S=1.1 h 3π 0 ν τ ( 1.21±0.10) % π 3π 0 ν τ (ex.k 0 ) [g] ( 1.08±0.10) % 836 K 3π 0 ν τ (ex.k 0, η) h 4π 0 ν τ (ex.k 0 ) ( 1.6 ±0.6 ) 10 3 [g] ( ) h 4π 0 ν τ (ex.k 0,η) [g] ( ) 10 3 K 0π 0 0K 0 0γ ν τ ( 1.56±0.04) % K 1(π 0 or K 0 or γ) ν τ ( 8.74±0.35) 10 3 < Modes with K 0 s K 0 S (particles) ν τ ( 9.2 ±0.4 ) 10 3 S=1.1 h K 0 ν τ ( 1.05±0.04) % S=1.1 π K 0 ν τ [g] ( 8.9 ±0.4 ) 10 3 S= π K CL=95% 812 (non-k (892) )ν τ K K 0 ν τ [g] ( 1.54±0.16) K K 0 0π 0 ν τ ( 3.09±0.24) 10 3 h K 0 π 0 ν τ ( 5.2 ±0.4 ) 10 3 π K 0 π 0 ν τ [g] ( 3.7 ±0.4 ) K 0 ρ ν τ ( 2.2 ±0.5 ) 10 3 K K 0 π 0 ν τ [g] ( 1.55±0.20) π K 0 1π 0 ν τ ( 3.2 ±1.0 ) 10 3 π K 0 π 0 π 0 ν τ ( 2.6 ±2.4 ) 10 4 K K 0 π 0 π 0 ν τ < CL=95% π K 0 K 0 ν τ ( 1.59±0.29) 10 3 S= π K 0 S K 0 S ν τ [g] ( 2.4 ±0.5 ) 10 4 π K 0 S K 0 L ν τ [g] ( 1.10±0.28) 10 3 S=1.1 π K 0 K 0 π 0 ν τ ( 3.1 ±2.3 ) 10 4 π K 0 S K 0 S π0 ν τ < CL=95% π K 0 S K 0 L π0 ν τ ( 3.1 ±1.2 ) 10 4 K 0 h + h h 0 neutrals ν τ < CL=95% K 0 h + h h ν τ ( 2.3 ±2.0 ) Page 4 Created: 10/24/ :07
5 Modes with three charged particles h h h + 0 neutrals 0K 0 L ν τ (15.20±0.07) % S=1.1 h h h + 0 neutrals ν τ (14.57±0.07) % S=1.1 (ex. K 0 S π+ π ) ( 3-prong ) h h h + ν τ (10.01±0.09) % S=1.2 h h h + ν τ (ex.k 0 ) ( 9.65±0.09) % S=1.2 h h h + ν τ (ex.k 0,ω) ( 9.61±0.09) % S=1.2 π π + π ν τ ( 9.52±0.10) % S=1.2 π π + π ν τ (ex.k 0 ) ( 9.22±0.10) % S=1.2 π π + π ν τ (ex.k 0 ), non-axial vector < 2.4 % CL=95% π π + π ν τ (ex.k 0,ω) [g] ( 9.17±0.10) % S=1.2 h h h + 1 neutrals ν τ ( 5.18±0.10) % S=1.3 h h h + 1 neutrals ν τ ( 4.92±0.10) % S=1.3 (ex. K 0 S π+ π ) h h h + π 0 ν τ ( 4.53±0.09) % S=1.3 h h h + π 0 ν τ (ex.k 0 ) ( 4.35±0.09) % S=1.3 h h h + π 0 ν τ (ex. K 0, ω) ( 2.62±0.09) % S=1.2 π π + π π 0 ν τ ( 4.37±0.10) % S=1.3 π π + π π 0 ν τ (ex.k 0 ) ( 4.24±0.10) % S=1.3 π π + π π 0 ν τ (ex.k 0,ω) [g] ( 2.51±0.09) % S=1.2 h h h + 2π 0 ν τ ( 5.5 ±0.4 ) 10 3 h h h + 2π 0 ν τ (ex.k 0 ) ( 5.4 ±0.4 ) 10 3 h h h + 2π 0 ν τ (ex.k 0,ω,η) [g] ( 1.1 ±0.4 ) 10 3 h h h + 3π 0 ν τ [g] ( 2.3 ±0.8 ) 10 4 S=1.6 K h + h 0 neutrals ν τ ( 6.5 ±0.5 ) 10 3 S=1.4 K h + π ν τ (ex.k 0 ) ( 4.4 ±0.5 ) 10 3 S=1.5 K h + π π 0 ν τ (ex.k 0 ) ( 1.10±0.22) 10 3 K π + π 0 neutrals ν τ ( 4.5 ±0.5 ) 10 3 S=1.4 K π + π ( 3.5 ±0.5 ) 10 3 S=1.4 0π 0 ν τ (ex.k 0 ) K π + π ν τ ( 3.3 ±0.5 ) 10 3 S=1.5 K π + π ν τ (ex.k 0 ) [g] ( 2.8 ±0.5 ) 10 3 S=1.5 K ρ 0 ν τ ( 1.3 ±0.5 ) 10 3 K π + π ν τ K π + π π 0 ν τ ( 1.23±0.25) 10 3 K π + π π 0 ν τ (ex.k 0 ) ( 7.0 ±2.4 ) 10 4 K π + π π 0 ν τ (ex.k 0,η) [g] ( 6.4 ±2.4 ) 10 4 K π + K 0neut. ν τ < CL=95% K K + π 0neut. ν τ ( 2.00±0.23) 10 3 K K + π ν τ [g] ( 1.60±0.19) Page 5 Created: 10/24/ :07
6 K K + π π 0 ν τ [g] ( 4.0 ±1.6 ) 10 4 K K + K 0neut. ν τ < CL=95% K K + K ν τ < CL=90% π K + π 0neut. ν τ < CL=95% e e e + ν e ν τ ( 2.8 ±1.5 ) µ e e + ν µ ν τ < CL=90% 885 Modes with five charged particles 3h 2h + 0 neutrals ν τ ( 1.00±0.06) 10 3 (ex. K 0 S π π + ) ( 5-prong ) 3h 2h + ν τ (ex.k 0 ) [g] ( 8.2 ±0.6 ) h 2h + π 0 ν τ (ex.k 0 ) [g] ( 1.81±0.27) h 2h + 2π 0 ν τ < CL=90% Miscellaneous other allowed modes (5π) ν τ ( 8.0 ±0.7 ) h 3h + 0 neutrals ν τ ( 7-prong ) < CL=90% X (S= 1)ν τ ( 2.86±0.09) % S=1.1 K (892) 0 neutrals ( 1.42±0.18) % S=1.4 0K 0 L ν τ K (892) ν τ ( 1.29±0.05) % 665 K (892) 0 K 0 neutrals ν τ ( 3.2 ±1.4 ) 10 3 K (892) 0 K ν τ ( 2.1 ±0.4 ) K (892) 0 π 0 neutrals ν τ ( 3.8 ±1.7 ) 10 3 K (892) 0 π ν τ ( 2.2 ±0.5 ) (K (892)π ) ν τ ( 1.0 ±0.4 ) 10 3 π K 0 π 0 ν τ K 1 (1270) ν τ ( 4.7 ±1.1 ) K 1 (1400) ν τ ( 1.7 ±2.6 ) 10 3 S= K (1410) ν τ ( ) 10 3 K 0 (1430) ν τ < CL=95% K 2 (1430) ν τ < CL=95% 317 ηπ ν τ < CL=95% 798 ηπ π 0 ν τ [g] ( 1.74±0.24) ηπ π 0 π 0 ν τ ( 1.5 ±0.5 ) η K ν τ [g] ( 2.7 ±0.6 ) η K (892) ν τ ( 2.9 ±0.9 ) 10 4 η K π 0 ν τ ( 1.8 ±0.9 ) 10 4 η K 0 π ν τ ( 2.2 ±0.7 ) Page 6 Created: 10/24/ :07
7 CL=90% ηπ + π π 0 neutrals ν τ < CL=90% ηπ π + π ν τ ( 2.3 ±0.5 ) 10 4 η a 1 (1260) ν τ ηπ ρ 0 ν τ < CL=90% ηηπ ν τ < CL=95% 637 ηηπ π 0 ν τ < CL=95% 560 η (958)π ν τ < CL=90% η (958)π π 0 ν τ < CL=90% φπ ν τ < CL=90% 585 φk ν τ < CL=90% f 1 (1285)π ν τ ( 5.8 ±2.3 ) 10 4 f 1 (1285)π ν τ ( 1.3 ±0.4 ) 10 4 ηπ π + π ν τ π(1300) ν τ (ρπ) ν τ < (3π) ν τ π(1300) ν τ ((ππ) S wave π) ν τ (3π) ν τ < CL=90% h ω 0 neutrals ν τ ( 2.37±0.08) % h ων τ [g] ( 1.94±0.07) % h ωπ 0 ν τ [g] ( 4.3 ±0.5 ) 10 3 h ω 2π 0 ν τ ( 1.4 ±0.5 ) h h + ων τ ( 1.20±0.22) 10 4 Lepton Family number (LF ), Lepton number (L), or Baryon number (B) violating modes (In the modes below, l means a sum over e and µ modes) L means lepton number violation (e.g. τ e + π π ). Following common usage, LF means lepton family violation and not lepton number violation (e.g. τ e π + π ). B means baryon number violation. e γ LF < CL=90% 888 µ γ LF < CL=90% 885 e π 0 LF < CL=90% 883 µ π 0 LF < CL=90% 880 e K 0 LF < CL=90% 819 µ K 0 LF < CL=90% 815 e η LF < CL=90% 804 µ η LF < CL=90% 800 e ρ 0 LF < CL=90% 721 µ ρ 0 LF < CL=90% 717 e K (892) 0 LF < CL=90% 663 µ K (892) 0 LF < CL=90% 657 e K (892) 0 LF < CL=90% 663 µ K (892) 0 LF < CL=90% 657 e φ LF < CL=90% Page 7 Created: 10/24/ :07
8 µ φ LF < CL=90% 590 e e + e LF < CL=90% 888 e µ + µ LF < CL=90% 882 e + µ µ LF < CL=90% 882 µ e + e LF < CL=90% 885 µ + e e LF < CL=90% 885 µ µ + µ LF < CL=90% 873 e π + π LF < CL=90% 877 e + π π L < CL=90% 877 µ π + π LF < CL=90% 866 µ + π π L < CL=90% 866 e π + K LF < CL=90% 813 e π K + LF < CL=90% 813 e + π K L < CL=90% 813 e K + K LF < CL=90% 739 e + K K L < CL=90% 739 µ π + K LF < CL=90% 800 µ π K + LF < CL=90% 800 µ + π K L < CL=90% 800 µ K + K LF < CL=90% 699 µ + K K L < CL=90% 699 e π 0 π 0 LF < CL=90% 878 µ π 0 π 0 LF < CL=90% 867 e ηη LF < CL=90% 700 µ ηη LF < CL=90% 654 e π 0 η LF < CL=90% 798 µ π 0 η LF < CL=90% 784 p γ L,B < CL=90% 641 p π 0 L,B < CL=90% 632 p 2π 0 L,B < CL=90% p η L,B < CL=90% 476 p π 0 η L,B < CL=90% e light boson LF < CL=95% µ light boson LF < CL=95% Page 8 Created: 10/24/ :07
9 Heavy Charged Lepton Searches L ± charged lepton Mass m > GeV, CL = 95% [h] Decay to ν W. L ± stable charged heavy lepton Mass m > GeV, CL = 95% Neutrinos See the notes in the Neutrino Particle Listings for discussions of neutrino masses, flavor changes, and the status of experimental searches. ν e J = 1 2 The following results are obtained using neutrinos associated with e + or e. See the Note on Electron, muon, and tau neutrinos in the Particle Listings. Mass m < 3 ev Interpretation of tritium beta decay experiments is complicated by anomalies near the endpoint, and the limits are not without ambiguity. Mean life/mass, τ/m ν > s/ev [i] (solar) Mean life/mass, τ/m ν > 300 s/ev, CL = 90% [i] (reactor) Magnetic moment µ < µ B, CL = 90% ν µ J = 1 2 The following results are obtained using neutrinos associated with µ + or µ. See the Note on Electron, muon, and tau neutrinos in the Particle Listings. Mass m < 0.19 MeV, CL = 90% Mean life/mass, τ/m ν > 15.4 s/ev, CL = 90% Magnetic moment µ < µ B, CL = 90% Page 9 Created: 10/24/ :07
10 ν τ J = 1 2 The following results are obtained using neutrinos associated with τ + or τ. See the Note on Electron, muon, and tau neutrinos in the Particle Listings. Mass m < 18.2 MeV, CL = 95% Magnetic moment µ < µ B, CL = 90% Electric dipole moment d < e cm, CL = 95% Number of Neutrino Types and Sum of Neutrino Masses Number N =2.994 ± Number N = 2.92 ± 0.07 width) (Standard Model fits to LEP data) (Direct measurement of invisible Z Neutrino Mixing There is now compelling evidence that neutrinos have nonzero mass from the observation of neutrino flavor change, both from the study of atmospheric neutrino fluxes by SuperKamiokande, and from the combined study of solar neutrino cross sections by SNO (charged and neutral currents) and SuperKamiokande (elastic scattering). Solar Neutrinos Detectors using gallium (E ν & 0.2 MeV), chlorine (E ν & 0.8MeV), and Ĉerenkov effect in water (E ν & 5 MeV) measure significantly lower neutrino rates than are predicted from solar models. From the determination of the 8 B solar neutrino flux via elastic scattering (SuperKamiokande and SNO), via the charged-current process (SNO) and via the neutral-current process (SNO), one can determine the flux of non-ν e active neutrinos to be φ(ν µτ )= ( ) 10 6 cm 2 s 1, providing a 5.5 σ evidence for neutrino flavor change. A global analysis of the solar neutrino data favors large mixing angles and values for (m 2 ) ranging from 10 3 to 10 5 ev 2.Seethe Notes Neutrino Physics as Explored by Flavor Change and Solar Neutrinos in the Listings. Page 10 Created: 10/24/ :07
11 Atmospheric Neutrinos Underground detectors observing neutrinos produced by cosmic rays in the atmosphere have measured a ν µ /ν e ratio much less than expected and also a deficiency of upward going ν µ compared to downward. This can be explained by oscillations leading to the disappearance of ν µ with m 2 (2 4) 10 3 ev 2 and almost full mixing between ν µ and ν τ. See the Note Neutrino Physics as Explored by Flavor Change in the Listings. Heavy Neutral Leptons, Searches for For excited leptons, see Compositeness Limits below. Stable Neutral Heavy Lepton Mass Limits Mass m > 45.0 GeV, CL = 95% (Dirac) Mass m > 39.5 GeV, CL = 95% (Majorana) Neutral Heavy Lepton Mass Limits Mass m > 90.3 GeV, CL = 95% (Dirac ν L coupling to e, µ, τ; conservative case(τ)) Mass m > 80.5 GeV, CL = 95% (Majorana ν L coupling to e, µ, τ; conservative case(τ)) NOTES [a] This is the best limit for the mode e νγ. The best limit for electron disappearance is yr. [b] See the Note on Muon Decay Parameters in the µ Particle Listings for definitions and details. [c] P µ is the longitudinal polarization of the muon from pion decay. In standard V A theory, P µ =1andρ=δ= 3/4. [d] This only includes events with the γ energy > 10 MeV. Since the e ν e ν µ and e ν e ν µ γ modes cannot be clearly separated, we regard the latter mode as a subset of the former. [e] See the relevant Particle Listings for the energy limits used in this measurement. [f ] A test of additive vs. multiplicative lepton family number conservation. [g] Basis mode for the τ. [h] L ± mass limit depends on decay assumptions; see the Full Listings. [i] Limit assumes radiative decay of neutrino. Page 11 Created: 10/24/ :07
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